{
"cells": [
{
"cell_type": "markdown",
"id": "cd1d4634-f184-4b7e-bca9-8b5145349a08",
"metadata": {},
"source": [
"# FFT Tutorial with `discretisedfield`\n",
"\n",
"This Jupyter notebook is a tutorial guide for using the Fast Fourier Transform (FFT) functionality in `discretisedfield`. FFT is a highly efficient algorithm used to decompose a dataset into its base frequencies. In `discretisedfield`, our primary focus is on spatial transformations.\n",
"\n",
"In this tutorial we explain the different methods to perform a FFT on a field by looking at a few examples. We will start with a simple scalar field in a region with two spatial dimensions and move on to give a more complex example of a vector field in three spatial dimensions.\n",
"\n",
"## Setup field\n",
"\n",
"To get started, let's import the `discretisedfield` package."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "a116630b-3636-45a9-a06a-59e3e1c937e8",
"metadata": {},
"outputs": [],
"source": [
"import discretisedfield as df"
]
},
{
"cell_type": "markdown",
"id": "5c652ca9-be64-4cef-8a73-0fa617a668ec",
"metadata": {},
"source": [
"As an example we study a rectangular geometry with a sinusoidal wave propagating along the `y` direction with a $9\\, \\mathrm{m}$ wavelength. (For this first example, we use a region and wavelength on the metre scale to avoid large negative/positive multipliers in real/Fourier space)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "34a71f45-9f87-4b00-a77a-d056a4f896d5",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"field.mpl()"
]
},
{
"cell_type": "markdown",
"id": "8d2f8678",
"metadata": {},
"source": [
"## FFT Methods\n",
"\n",
"The `discretisedfield` package provides four different methods for performing Fast Fourier Transform (FFT) operations on a `discretisedfield.Field` object:\n",
"\n",
"1. `fftn`: This is the \"full\" FFT method which computes the n-dimensional FFT. It returns the complex-valued FFT result that has the same shape as the input field. It is used when the full frequency spectrum is needed.\n",
"\n",
"3. `ifftn`: This is the inverse of the \"full\" FFT method, which takes a complex-valued FFT result and computes the inverse FFT to return a field in the spatial domain. It is used to go back from the spatial frequency domain to the spatial domain.\n",
"\n",
"3. `rfftn`: This stands for \"real FFT\". It is similar to `fftn`, but it only computes the non-negative frequency terms along the last dimension. The result is a complex-valued array that has the same shape as the input array but half the size of the last dimension compared to the input. It is used when the input field only has real values, and hence its frequency spectrum is symmetric. Thus, it saves computation time and storage.\n",
"\n",
"4. `irfftn`: This is the inverse of the \"real FFT\" method. It takes a half-sized complex-valued FFT result (as output by `rfftn`) and computes the inverse FFT to return a real-valued field in the spatial domain. It is used when the original field is known to be real-valued.\n",
"\n",
"All of these methods are `n` dimensional and work with any number of value (vector) and mesh (geometric) dimensions. These four methods provide the necessary tools to perform FFT operations and allow the transition between the spatial domain and frequency domain, covering both real and complex-valued fields.\n",
"\n",
"We use `scipy.fft` for the calculations. Please refer to the [SciPy documentation](https://docs.scipy.org/doc/scipy/reference/fft.html) for further details.\n",
"\n",
"### FFT\n",
"Now we can perform out first FFT."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "0cb59c0b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
\n",
" \n",
"
Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [-0.525, -0.5]
\n",
"
pmax = [0.47500000000000003, 0.5]
\n",
"
dims = ['k_x', 'k_y']
\n",
"
units = ['(m)$^{-1}$', '(m)$^{-1}$']
\n",
"
\n",
"
n = [20, 45]
\n",
"
\n",
"
nvdim = 1
\n",
"
"
],
"text/plain": [
"Field(Mesh(Region(pmin=[-0.525, -0.5], pmax=[0.47500000000000003, 0.5], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 45]), nvdim=1)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fft_field = field.fftn()\n",
"fft_field"
]
},
{
"cell_type": "markdown",
"id": "46494862",
"metadata": {},
"source": [
"With the application of the FFT methods in `discretisedfield`, notable transformations occur in both the `mesh` and the `field`:\n",
"\n",
"1. **Mesh Transformation**: The `mesh` is transposed from the regular space to the spatial frequency domain. As a consequence, the units transition from meters (m) to inverse meters $\\left(\\mathrm{m}^{-1}\\right)$. Furthermore, to signify this transformation, `k_` is prepended to each of the `dims` of the mesh. However, the Fourier transformed `mesh` maintains the same number of points (`n`) as the original mesh.\n",
"\n",
" NOTE: The values of the axis in Fourier space are frequency NOT angular frequency so DO NOT include a factor of $2\\pi$, i.e. $|{\\bf k}| = \\frac{1}{\\lambda} \\neq \\frac{2 \\pi}{\\lambda}$, where $\\bf k$ is the wave vector and $\\lambda$ is the wavelength.\n",
"\n",
"2. **Field Transformation**: The field, although it continues to possess three value dimensions, undergoes a transformation, highlighted by the prefix `ft_` added to each dimension. This indicates that these dimensions have been processed through a Fourier Transform.\n",
"\n",
"These changes not only assist in distinguishing the transformed quantities but also serve a practical purpose by providing the values in appropriate units and dimensions.\n",
"\n",
"To visualise this Fourier transform we can plot the Power Spectral Density given by:\n",
"\n",
"$$ PSD(k) = | F(k) |^2 $$\n",
"\n",
"where:\n",
"\n",
"- $PSD(k)$ represents the power spectral density at spatial frequency $k$.\n",
"- $F(k)$ represents the Fourier transform of the original signal at spatial frequency $k$.\n",
"- $|$ $|$ denotes the absolute value.\n",
"\n",
"In essence, the PSD is the magnitude squared of the Fourier transform of the original signal, providing a measure of the power (or intensity) of the signal across the different spatial frequencies."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "918b20b3",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd = np.power(np.abs(fft_field), 2)\n",
"\n",
"psd.mpl()"
]
},
{
"cell_type": "markdown",
"id": "52e97a5a",
"metadata": {},
"source": [
"In this plot, we observe prominent peaks at $k_y = \\pm \\frac{1}{9}\\,\\mathrm{m}^{-1}= \\pm 0.11\\,\\mathrm{m}^{-1}$ aligning with our expectations for a sinusoidal modulation with a wavelength of $7\\,\\mathrm{m}$ and confirms the presence of the anticipated spatial frequency in our data.\n",
"\n",
"### iFFT\n",
"\n",
"Now we have a Fourier transformed field we can transform it back into real space by using an ifft."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "60e19e66",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
\n",
" \n",
"
Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [-10.0, -22.5]
\n",
"
pmax = [10.0, 22.5]
\n",
"
dims = ['x', 'y']
\n",
"
units = ['m', 'm']
\n",
"
\n",
"
n = [20, 45]
\n",
"
\n",
"
nvdim = 1
\n",
"
"
],
"text/plain": [
"Field(Mesh(Region(pmin=[-10.0, -22.5], pmax=[10.0, 22.5], dims=['x', 'y'], units=['m', 'm']), n=[20, 45]), nvdim=1)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ifft_field = fft_field.ifftn()\n",
"ifft_field"
]
},
{
"cell_type": "markdown",
"id": "d767eb52",
"metadata": {},
"source": [
"Upon transforming our field back into the regular space, we observe several changes. Firstly, our units return to the meter (m) notation. Secondly, both the dimensions and the value dimensions revert to their original identifiers, removing the `k_` and `ft_` prefixes, respectively. This reflects the transition from the frequency to the spatial domain. As expected, the total number of data points within the field remains constant.\n",
"\n",
"However, one key aspect of Fourier transforms to be aware of is the loss of the original translation during the transformation process. Consequently, the Fourier transformed field or signal is inherently centred around the origin.\n",
"\n",
"This characteristic is due to the Fourier transform operating in the frequency domain, which identifies the frequencies present in the signal but disregards the location or shift of those frequencies in the original signal. Hence, after the Fourier transform, the information about the original position of the frequencies in the spatial domain is lost and the resulting transformed signal is always centred around the origin.\n",
"\n",
"However, we can `translate` the mesh in order to move the field back to the desired position `inplace`. In the `translate` function we provide a `vector` by which we want to translate our region. Due to the application of the Fourier transforms, the mesh of the new field is centred around the origin. In order to align the new mesh with the original mesh we can provide the center of the original mesh as the `vector`."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f03d1d98",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [0.0, 0.0]
\n",
"
pmax = [20.0, 45.0]
\n",
"
dims = ['x', 'y']
\n",
"
units = ['m', 'm']
\n",
"
\n",
"
n = [20, 45]
\n",
"
"
],
"text/plain": [
"Mesh(Region(pmin=[0.0, 0.0], pmax=[20.0, 45.0], dims=['x', 'y'], units=['m', 'm']), n=[20, 45])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ifft_field.mesh.translate(field.mesh.region.centre, inplace=True)"
]
},
{
"cell_type": "markdown",
"id": "93900090",
"metadata": {},
"source": [
"As a check we can see if our original field is the same as the field which has been Fourier transformed and then inverse Fourier transformed. By using the `allclose` method in the `Field` class we can see that the two field are almost the same."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f791993e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"field.allclose(ifft_field)"
]
},
{
"cell_type": "markdown",
"id": "9340b200",
"metadata": {},
"source": [
"While our field has been transformed back into its original space, using the `==` operator reveals that the initial and final states are not identical."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "de0a5492",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"field == ifft_field"
]
},
{
"cell_type": "markdown",
"id": "2f867782",
"metadata": {},
"source": [
"This discrepancy stems primarily from two factors:\n",
"\n",
"1. **Floating-Point Precision**: Arithmetic operations on floating-point numbers can lead to small imprecisions.\n",
"\n",
"2. **Complex Values**: Initially, our field comprised real values. However, the processing via FFT and inverse FFT results in a field with complex values. \n",
"\n",
"These factors contribute to the subtle differences when comparing the original and transformed fields directly and shows how the `allclose` method can offer a more suitable comparison.\n",
"\n",
"We can visualise these differences by plotting the real and imaginary parts."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "359cfddd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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O31lml3jlwsRL1H7GJN74b2cadaxNIVtF5yxevBgHDhzAoUOH4OLiAuBuSzIqKgr9+/fH1q2GjxEbGwsA2L59e5ccv7PMqsdLRJZPIyiMeokRBAH5+fkICwtrSYoAYGtri6ioKBw/fhw1NTUdjrOrj98Ws+rxyklTUWHqEIioDeXl5aitrdW7dwsAeHt7Q6vVoqSkBCEhIWZ5/LZYbeIloq4h1cm1qqoqAICzs7Petuax5jmGiN1WoLPH7wy2GojILDU2NgK4+6f/rzWvXGpeu2+I2G0FOnv8zmDFS0SSkuriiOYLodRqtd625qTZvXt3g/uqVCq92wpEREQgJiYGWVlZiImJ6dTxO4sVLxGZJTc3NwDAzZs39bZVVlbqzPk1Y24r0JnjdxYrXiKSlBbSVLy9e/eGs7MziouL9bYVFxdDqVTCx8fHcAxaLbRaLWxsdFPcvbcV6MzxO4sVLxGZrdGjR+Po0aOouGcVUl1dHQ4ePIjw8HA4ODjo7VNaWmr0bQU6cnwpMPESkaSkvEnO3Llz0b17dyQmJuIf//gH/vWvf2Hu3Ln45ZdfkJycDAAoLCyEv78/Pv74YwBA3759W24rkJ6ejq+//hoFBQVISEhASUkJFi1a1HLyzJjjdwW2GohIUlLeq6FXr17IyclBWloakpOTIQgCgoODsW3btpaqVRAEaDQaaLXalv1WrFgBf39/7N69G1u2bGm5rcDatWt1bitgzPG7gtVeMhzZbaqpQyCyOF9qd4vOifk60ahjffzEus6GY7GstuIVwrrm5hdE1s7a77VrDPZ4iYhkZrUVLxF1DamWk93PWPESEcmMFS8RSYo9XnGseImIZMaKl4gkxYpXHBMvEUmKiVccWw1ERDJjxUtEkmLFK85qE+/FqV1zg2MiIjFWm3iJqGvwAgpx7PESEcmMFS8RSYo9XnGseImIZMaKl4gkxYpXHBMvEUmKiVccWw1ERDJjxUtEkmLFK44VLxGRzFjxEpGkBFa8oqw28b4UedDUIRBZoIWmDuC+YLWJl4i6Bi8ZFsceLxGRzFjxEpGkuKpBHBMvEUmKJ9fEmWWr4dChQ5g2bRqGDRuG4OBgPPfcczh4UPdkWFFRERISEjB06FAEBQXhD3/4AwoLC00UMRGR8cwu8e7btw9z5szBww8/jA8++ACZmZmwsbHB/PnzsX//fgBAaWkppk+fjurqaqxatQrr1q2Do6Mj4uLicOrUKRN/AiLrphUURr2smdm1Gj788EOEhIQgLS2tZWzYsGEYMWIEcnNzER0djTVr1kCj0WD9+vVwcXEBAAwdOhRRUVHIzMzE1q1bTRQ9EZE4s0q8DQ0NmDVrFry9vXXGHR0dMXDgQJSXl0MQBOTn5yMsLKwl6QKAra0toqKisH37dtTU1OChhx6SO3wiAnu8xjCrVoOdnR2mT5+O0NBQnXG1Wo2rV69iwIABKC8vR21trV5yBgBvb29otVqUlJTIFTIRUbuZVcX7axqNBqWlpcjIyEBDQwOSkpJQVVUFAHB2dtab3zzWPKctyS4/SBssEQHgcjJjmFXFe6+9e/fC398fY8aMwZUrV7BlyxYEBgaisbERwN3Wwq8plUoAQH19vayxEhG1h9km3pEjR2Lv3r1Yv349Bg4ciOeffx579+6FnZ0dgLvth19rTsrdu/PR7USmIgjGvayZ2bYanJyc4OTkBACIiIjAokWL8M477+CLL74AANy8eVNvn8rKSgCAm5ubbHESEbWXWVW8N27cwO7du3HhwgW9bQEBAWhoaMCNGzfg7OyM4uJivTnFxcVQKpXw8fGRI1wiMkALhVEva2ZWibexsRFvvfUW1q9fr7ft5MmTAID/+Z//wejRo3H06FFUVFS0bK+rq8PBgwcRHh4OBwcH2WImIl2CoDDqZc3MqtXg4eGBCRMmYN++fXB0dMRTTz0FADh48CC++OILTJ48Ge7u7pg7dy4OHDiAxMREzJ8/H0qlEhs3bsQvv/yC5ORkE38KIqK2KQTBvNrcTU1N2LZtG/Ly8nD58mXY2trikUceQXR0NGbOnNmycuHixYtIS0tDYWEhBEFAcHAwkpOTERgYaNT7aK/prwMmorZ1631edE7wZ38y6ljfj3u3s+FYLLNLvHJh4iVqPyZeaZhVq4GILJ91lnLtY7WJt0R9x9QhEFmcQaYO4D5htYmXiLqGta9YMIZZLScjIrIGrHiJSFJSV7xFRUXIyMjAiRMn0NTUhMDAQCQlJendxfDXjh49CpVKhbNnz8LOzg5eXl6YPXs2RowY0TInNja21SfXJCYm4pVXXpH0szRj4iUiSUl5d7Lmp80MHDgQq1atgr29PbKzsxEXF4cdO3YgKCjI4H6HDh3CnDlzEB4eDpVKBUEQsHXrViQkJOCDDz7A2LFjW+YGBAQgJSVF7xju7u6SfY5fY+IlIrPV0afNZGZmon///lizZk3L2v/Q0FBERERg+/btOonXwcHB6PX/UmHiJSJJSbWcrKNPmxEEAXPmzIGLi0tL0gXu3rWwX79+uHbtmjQBdgJPrhGRWero02YUCgWio6MxfPhwnXG1Wo3Lly+jb9++XRazsZh4iUhSUt0kR6qnzTRTqVS4desWpk2bpjNeXV2NxYsXIyIiAo8++ijGjRuHHTt2GH3cjmDiJSKzJOXTZnJzc7FhwwZMnjwZUVFROtvKysrQp08fpKenQ6VSwcPDA8uWLcPmzZs7+Qlaxx4vEUlKquVkUj1tZvXq1VCpVBg/fjzefVf3/hAqlQo2NjZwdHRsGYuIiEBMTAyysrIQExOjs00qVpt4XzwXa+oQiCzO14/I917NT5LpzNNmli5ditzcXMTHx2PRokVQKHT/UWh+ys29FAoFRo0ahVOnTuHChQsIDg7u2Adog9UmXiLqGlLdI6d3796detpMZmYmPv74YyxZsgQvvPCCwTlarRZarRY2NrqpsLmF0Vx1S409XiKSlJRPoOjo02by8/Oxbt06LFy4sNWkW1paisGDByM9PV1nXKPRID8/H05OTvDy8jLyU7cPK14iMlvGPG2msLAQM2fOxNKlSxETE4OmpiYsX74cHh4eePzxx3H69Gm94/r6+qJv376IjIxEdnY2bGxsEBYWhrq6OuTk5KCkpASpqak664ClxMRLRNKS8H68vXr1Qk5ODtLS0pCcnNzytJlt27a1VKOCIECj0UCr1QIArl27hitXrgAApk6davC4BQUF8PDwwIoVK+Dv74/du3djy5YtUCqV8Pf3x9q1azFy5EjpPsivWO0TKJ44+LqpQyCyOF9HrRCd47PHuCdLlEwx7kkV9yNWvEQkKd6PVxxPrhERyYwVLxFJyjqbl+3DipeISGZWW/E27Oll6hCILE+U+BT2eMVZbeIloi7CxCuKrQYiIpmx4iUiSfHkmjhWvEREMmPFS0TSYsUrihUvEZHMWPESkaS4nEwcK14iIpmx4iUiabHHK8pqE6/7vgumDoHI8mwQn8JWgzi2GoiIZGa1FS8RdRG2GkSx4iUikhkrXiKSGHu8Ysw28R49ehQqlQpnz56FnZ0dvLy8MHv2bIwYMQIAEBsbi8LCQoP7JiYm4pVXXpEzXCIio5ll4j106BDmzJmD8PBwqFQqCIKArVu3IiEhAR988AHGjh0LAAgICEBKSore/u7u7nKHTETN2OMVZZaJNzMzE/3798eaNWtanmsfGhqKiIgIbN++vSXxOjg4IDAw0JShEhG1m9klXkEQMGfOHLi4uLQkXQDo3r07+vXrh2vXrpkwOiISxYpXlNklXoVCgejoaL1xtVqNy5cvw8/PzwRREZHReAGFKLNLvK1RqVS4desWpk2b1jJWXV2NxYsX49ixY6isrES/fv0wbdo0TJ8+XfR4moqKrgyXiKhVFrGONzc3Fxs2bMDkyZMRFfXfp+2VlZWhT58+SE9Ph0qlgoeHB5YtW4bNmzebMFoi6yYIxr2smdlXvKtXr4ZKpcL48ePx7rvvtoyrVCrY2NjA0dGxZSwiIgIxMTHIyspCTEyMzjYiInNh1hXv0qVLoVKpEB8fj7S0NNjY/PffCScnJ73EqlAoMGrUKNTX1+PCBd4Eh8gkBCNfVsxsK97MzEx8/PHHWLJkCV544QW97VqtFlqtVicZA0B9fT0AwM7OTpY4iYjaq9MVb3V1NS5evIjvv/8eFy9eRHV1daeDys/Px7p167Bw4UKDSbe0tBSDBw9Genq6zrhGo0F+fj6cnJzg5eXV6TiIqAMEhXEvK9builetVuOzzz7D559/jhMnTuDOnTt6cxwcHBASEoKxY8ciOjpaZz2umKamJixfvhweHh54/PHHcfr0ab05vr6+iIyMRHZ2NmxsbBAWFoa6ujrk5OSgpKQEqamp7XpPIiI5KQTB+POLeXl5yMjIQGVlJQRBQM+ePdG3b1+4uLigR48eqK2tRVVVFa5cuYLbt29DoVDgN7/5DRYuXIiJEyca9R5lZWUYNWpUm3MKCgrg7u6O7Oxs7N69G+Xl5VAqlfD398esWbMwcuRI0feJ7DbVqHiI6L++1O4WndN/Y5pRx/rxj692NhyLZVTi/fnnn/Hqq6/i8OHD6NWrF6ZMmYLw8HAEBgaiWzf9boVWq8Xp06fxf//3f/jkk09w48YN/P73v8fKlSvNZqUBEy9R+xmVeDcYmXgTmHjbNH78eJSVlWH+/PmIjY1t15/xarUa27Ztw+rVq/HII4/gb3/7W6cClgoTL1H7MfFKw6iTa4IgYO/evYiLi2t371SpVGLWrFnYu3cvtFpth4IkIgvCk2uijDq5lpub2+kWwYABA5Cbm9upY0hJCAsydQhEZKWMSrytJd2ysjJUVFSgqamp1X2HDRsmehwiuo9Y+cURxujQBRQXL17Eyy+/bNTVYefOnevIWxAR3bc6lHhTU1Nx/vx5DBgwAH5+frxKjIj+ixWvqA4l3rNnz2LixIlYvny51PEQEd33OnyvhuHDh0sZBxHdL1jxiupQ4g0JCUFJSYnUsRDR/cDKl4oZo0M3yXnttddw4MAB7Ny5E42NjVLHRER0X+tQxfvII4/g6aefxrJly5CamgpXV1eDF1YoFArk5+d3OkgishwKthpEdSjxrlixAtu2bYMgCNBoNLhx44bUcRER3bc6lHg/++wzeHp6IjU1Ff7+/rC1tZU6ri53cWp3U4dAdH+SuOItKipCRkYGTpw4gaamJgQGBiIpKQmhoaGS7FdWVob09HQcPXoUdXV18Pb2RmJios7zHaXWoR5vbW0tZsyYgeDgYItMukRkGUpLSzF9+nRUV1dj1apVWLduHRwdHREXF4dTp051er/bt29j2rRpOHv2LFJSUvDnP/8Zvr6+SEpKwsGDB7vsc3Wo4h04cCDq6uqkjoWISMeaNWug0Wiwfv16uLi4AACGDh2KqKgoZGZmYuvWrZ3ab9u2bbhx4wY+/fRTeHt7A7i7auvixYtYtWpVl1W9Hap4k5KSsGPHDly/fl3qeIiIANy9K2J+fj7CwsJakicA2NraIioqCsePH0dNTU2n9vvyyy/h6+vbknSBu4sCxo0bh8uXL6O4uLhLPluHKt4rV67A398fkZGR+O1vf4uHH37YYMtBoVDg1Vet956bRNZIqlUN5eXlqK2t1UmKzby9vaHValFSUoKQkJAO7RccHIwffvgBY8aMMTgPuHuvGV9fX2k+0D06lHjff/99KBQKCIKAw4cPtzqPiZeIOqqqqgoA4OzsrLeteax5Tkf2q6mpgVqtbnPezZs3Oxh92zqUeP/3f/9X6jiI6H4h0ZVrzRdnGfpruvm6gfr6+g7v19DQ0KHjS6FDiXfSpElSx0FE9wuJWg3Ndz1Uq9V625qTa/fu+stCjd2vo8eXglEn115//fVOXxrc2NiI119/vVPHICLr4ebmBsDwn/uVlZU6czqyX8+ePWFra9vu40vBqMT75ZdfYurUqW2um2vL999/jylTpvDyYSJrIBj5EtG7d284OzsbXFlQXFwMpVIJHx+fDu/3wAMPwNvbu9V5ABAQECAeaAcY1Wr4y1/+grlz5+K5557Dk08+ifj4eISEhBh8tHszrVaLb775Bps2bcKRI0fQu3dv/OUvf5Es8M56KbLrFkcT3b8Wyvpuo0ePRl5eHioqKlqqz7q6Ohw8eBDh4eFwcHDo1H5jxoxBeno6ioqKMGjQIAB3c9enn36KQYMGYcCAAV3yuYx6vDsA1NTUIDU1FX/729+gUCjg4OCAxx9/HAMGDICrqyscHR3x888/o6qqCpcuXcLx48dx584dCIKACRMm4M0330TPnj275EN0xKqzo00dApHFWeT/hegcz4wMo451MTlZdM7169fxzDPPwMPDA/Pnz4dSqcTGjRtx6tQp7N69G15eXigsLMTMmTOxdOlSxMTEGL0fcDcZT5w4EYIgYNGiRXByckJubi4OHjyITZs24YknnjDqs7SX0SfXHnroIaxcuRIzZszA9u3b8c9//hMFBQUt25uXlzVzdXVFZGQkYmNj4e/vL23URGQVevXqhZycHKSlpSE5ORmCICA4OBjbtm1rSZ7NN+vSarXt2g8AHnzwQWzfvh0rV67E22+/jV9++QX+/v5Yv359lyVdoB0VryFFRUW4dOkSbt68idraWvTo0QMuLi4YMGBAS9lurljxErWfURVvupEV70Lxivd+1eFH/wDAoEGDzD7BEhGZm04lXiIiPbwRuigmXiKSFJ9AIa5DdycjIqKOY8VLRNLiU4ZFdajiLS0tlToOIiKr0aGKNyoqCsOHD8f/+3//D5GRkQafMGzukl1+MHUIRPcn9nhFdSjxBgcH49ixYzh+/Dh69uyJiRMnYurUqfD09JQ6PiKi+06HWg25ubkoKCjAggUL4Obmhq1bt+Lpp5/G888/j7/+9a9ddg9LIjJ/CsG4lzXr1JVrzYqLi/Hpp59i//79KC8vR48ePTB+/HhMnToVfn5+UsQpOe01/ceCEFHbuvU+LzrHe3mmUcc6v/iVzoZjsSRJvPc6fvw4PvjgA3z//fcA7j7Z849//CNGjBgh5dt0GhMvUfsZlXj/18jE+4b1Jl7J1vFev34dmzZtwvLly3Hy5EkIgoCgoCBcvHgRiYmJeO211wze6Z2I7i9sNYjr1DperVaLQ4cOYc+ePThy5Aiamprw0EMPITY2Fs899xw8PT3xyy+/ICsrC1u2bIGLiwsWL14setyjR49CpVLh7NmzsLOzg5eXF2bPnq1TNRcVFSEjIwMnTpxAU1MTAgMDkZSUhNDQ0M58JCKiLtehVsPly5exZ88e5OXloaqqCoIgYPDgwXjuuecwbty4lmcZ3eu1117DP//5T3z99ddtHvvQoUOYM2cOwsPDERsbC0EQsHXrVhw9ehQffPABxo4di9LSUkyaNAkDBw7E3LlzYW9vj+zsbBw5cgQ7duxAUFCQ6Gdgq4Go/YxpNfi8Z1yroWSJ9bYaOlTxjh49GgqFAt27d8fUqVPx/PPPi55Ee/LJJ/Hpp5+KHjszMxP9+/fHmjVrWtYHh4aGIiIiAtu3b8fYsWOxZs0aaDQarF+/Hi4uLgDu9pKjoqKQmZmJrVu3duRjERHJokOJ19fXF8899xyeeeaZVh+98WtDhgzBqlWr2pwjCALmzJkDFxcXnYsyunfvjn79+uHatWsQBAH5+fkICwtrSbrA3Uc0R0VFYfv27aipqcFDDz3UkY9GRJ1l5f1bY3Qo8e7bt6/d+3h4eMDDw6PNOQqFAtHR0XrjarUaly9fhp+fH8rLy1FbWwtvb/1Wgbe3N7RaLUpKShASEtLuGImI5GARN8lRqVS4desWpk2bhqqqKgCAs7Oz3rzmseY5bSlR35E2SCIrYMxjD6x9xYIxzP62kLm5udiwYQMmT56MqKgoNDY2ArjbWvi15vYEr5wjInNm1hXv6tWroVKpMH78eLz77rsA0LJiwtCa4Oak3L17d/mCJCJqJ7NNvEuXLkVubi7i4+OxaNEiKBR37/Hp5uYGALh586bePpWVlTpziMgE2GoQZZaJNzMzEx9//DGWLFmCF154QWdb79694ezsjOLiYr39iouLoVQq4ePjI1eoRETtZnY93vz8fKxbtw4LFy7US7rNRo8ejaNHj6KioqJlrK6uDgcPHkR4eLjRS9yISHq8ZFicWVW8TU1NWL58OTw8PPD444/j9OnTenN8fX0xd+5cHDhwAImJiZg/fz6USiU2btyIX375BcnJySaInIjIeGaVeK9du4YrV64AAKZOnWpwTkFBATw8PJCTk4O0tDQkJydDEAQEBwdj27Zt8PLykjNkIvo1K69mjWFWidfDw8Ng79YQT09PrFu3rosjIiKSnlklXiK6D7DiFWW1iffFc7GmDoHI4nz9iKkjuD9YbeIloq5h7SsWjMHES0TSYuIVZXbreImI7neseIlIUmw1iGPFS0QkM1a8RCQtVryiWPESEcmMFS8RSYsVryhWvEREMrPairdhTy9Th0BkeaLEp3BVgzirTbxE1EWYeEWx1UBEJDNWvEQkLVa8oljxEhHJjBUvEUmKJ9fEseIlIpIZK14ikhYrXlFMvERk8TQaDTZs2IC8vDyUl5fD1dUV0dHRWLBgAezt7dvct7a2FmvWrMHf//53VFdXo0+fPggPD8dLL70EZ2dnAMDx48fxwgsvtHqMM2fOwMbG+HTKxEtEkjJFjzc1NRW7du3CvHnzEBoaivPnz2PlypX48ccfsXbt2lb3U6vViI+Px8WLF5GUlAQ/Pz/85z//QVZWFgoLC5GXl4cHHnigZX5KSgoCAgL0jtOepAtYceJ133fB1CEQWZ4NRsyROfFeuXIFO3fuRFxcHObMmQMAGDp0KLRaLVJSUvDtt98iJCTE4L6HDh3C999/j+XLl2PSpEkAgGHDhkGtViM9PR2FhYV44oknWuYPGDAAgYGBnY6ZJ9eIyKIVFBRAEASMHz9eZ3zcuHFQKBTIz89vdV8vLy+89957iIyM1BkfNGgQAODq1avSBwwrrniJqIvIXPEWFxdDoVDA09NTZ7xnz55wd3fHuXPnWt3X09NTbz8A+OGHHwAAffv2lTbY/x8rXiKyaFVVVXB0dIStra3eNmdnZ9y8ebNdx7t+/TrWrVuHQYMGYejQoTrbPv/8czz77LMYMmQIQkNDsWDBAly+fLndMbPiJSJJKSQ6jlqtRmlpaZtzevTogYaGBoNJFwCUSiVu375t9HtWVVUhMTERjY2NSEtLg0Kh+2mKioqQkJAANzc3/Pvf/8ZHH32EkydP4rPPPkOPHj2Mfh8mXiIyS9evX0d0dHSbcyZNmgR7e3uo1WqD2xsbG0WXkzUrLS1FfHw8qqursWnTJvj4+LRsGzJkCI4cOQJXV1d063a3UfDYY49hwIABSEhIwObNm/Hyyy8b98HAxEtEUpOox+vh4YHi4mLReUuWLEFtbS0aGxv1Kt+qqqqWE2VtKSoqQlxcHOzt7bFz5054eXnpbLe1tYWbm5vefk8++STs7e1x+vRp0fe4F3u8RGTR/Pz8IAgCzp8/rzNeWVmJyspKg+tu7/XTTz8hPj4erq6uBpNus8bGRr2xpqYmqNVq2NnZtStmJl4ikpRCMO4llcjISNjY2GDfvn06480/jx07ttV9NRoNkpKSYGtriy1btqBXL8NPpnnzzTcRGhqqd6KuoKAAGo0GoaGh7YqZrQYikpbMy8l69eqFuLg4bN68Gc7OzggNDcWZM2eQlZWFyZMnw8/Pr2XujBkzcOnSJXz11VcAgLy8PPznP/9BcnIyrl69qrdu19nZGR4eHpg+fTr279+PF198EbNnz4abmxtOnTqFtWvXwtPTE1OnTm1XzEy8RGTxkpOT0bNnT+zatQsfffQR3N3dMWvWrJYr2ZpptVpoNJqWn7/99lsAQEZGBjIyMvSOO2nSJCxfvhwBAQHIyclBVlYWli5dirq6Ori7u2PSpEmYN28eHBwc2hWvQhAEq7yXUGS39v0LRUTAl9rdonOCkjKNOtaprFc6G47FYo+XiEhmbDUQkaT4BApxrHiJiGTGipeIpMWKV5TZVrxFRUUYM2YMfH19cfHiRZ1tsbGx8PX1NfjKzDSusU9EZCpmWfHu2LEDy5cvR8+ePVudExAQgJSUFL1xd3f3rgyNiESwxyvO7BJvYWEhVqxYgaVLl+Lq1atYvXq1wXkODg6S3AmeiCTGxCvK7FoNTk5OyM3NxZQpU0wdChFRlzC7ivfeW7ERkeVhq0Gc2SVeY1VXV2Px4sU4duwYKisr0a9fP0ybNg3Tp083an8hLKiLIyQiMszsWg3GKisrQ58+fZCeng6VSgUPDw8sW7YMmzdvNnVoRNZNMPJlxSyy4lWpVLCxsYGjo2PLWEREBGJiYpCVlYWYmBidbURE5sQiK14nJye9xKpQKDBq1CjU19fjwoULJoqMiFjxirPIxKvVatHU1KQ3Xl9fDwDtvhs8EZGcLC7xlpaWYvDgwUhPT9cZ12g0yM/Ph5OTU6uP7iCirif3Eygskdn1eMvKylBdXQ0AuHHjBgDgwoULqKurAwD4+voiMjIS2dnZsLGxQVhYGOrq6pCTk4OSkhKkpqZCqVSaLH4iIjFml3hXr16NvLw8nbGkpKSW/11QUIAVK1bA398fu3fvxpYtW6BUKuHv74+1a9di5MiRcodMRPey8mrWGFb7BIqnfpdq6hCILE7+kbdE54TE6z9Cx5BvNyV3NhyLZXE9XiIiS2d2rQa5XJza3dQhEN2frPJv6PZhxUtEJDOrrXiJqGtY+1IxY7DiJSKSGSteIpIWK15RrHiJiGTGipeIJMUerzgmXiKSFhOvKLYaiIhkxoqXiCTFVoM4VrxERDKz2or3pciDpg6ByAItFJ/CilcUK14iIplZbcVLRF2DPV5xrHiJiGTGipeIpGWdz1ZoFyZeIpIUWw3i2GogIpIZK14ikhYrXlGseImIZMaKl4gkpdCaOgLzZ7WJN9nlB1OHQERWymoTLxF1EfZ4RbHHS0QkM1a8RCQpruMVx8RLRNIywZVrGo0GGzZsQF5eHsrLy+Hq6oro6GgsWLAA9vb2re53/PhxvPDCC61uP3PmDGxsbDr1HoYw8RKRxUtNTcWuXbswb948hIaG4vz581i5ciV+/PFHrF27VnT/lJQUBAQE6I03J10p3kPnuO2aTUQkQu5Ww5UrV7Bz507ExcVhzpw5AIChQ4dCq9UiJSUF3377LUJCQto8xoABAxAYGNil73EvnlwjIotWUFAAQRAwfvx4nfFx48ZBoVAgPz/f7N6DFS8RSUvmire4uBgKhQKenp464z179oS7uzvOnTtndu/BipeILFpVVRUcHR1ha2urt83Z2Rk3b94UPcbnn3+OZ599FkOGDEFoaCgWLFiAy5cvS/oe97LairdEfcfUIRBZnEFGzJGqx6tWq1FaWtrmnB49eqChocFgQgQApVKJ27dvi75XUVEREhIS4Obmhn//+9/46KOPcPLkSXz22WeSvce9rDbxEpF5u379OqKjo9ucM2nSJNjb20OtVhvc3tjY2OZSryFDhuDIkSNwdXVFt253GwCPPfYYBgwYgISEBGzevBkvv/xyp97DECZeIpKWROt4PTw8UFxcLDpvyZIlqK2tRWNjo15VWlVVhUGDWq/TbW1t4ebmpjf+5JNPwt7eHqdPnwYA/OY3v+nwexjCHi8RSUohGPeSip+fHwRBwPnz53XGKysrUVlZaXB97r0aGxv1xpqamqBWq2FnZyfJe/waEy8RWbTIyEjY2Nhg3759OuPNP48dO7bVfd98802EhobqnRwrKCiARqNBaGhop9/DELNtNRQVFeHll1/GpUuXsH//fr1lHEVFRcjIyMCJEyfQ1NSEwMBAJCUltfyiiMhEZF5O1qtXL8TFxWHz5s1wdnZGaGgozpw5g6ysLEyePBl+fn4tc2fMmIFLly7hq6++AgBMnz4d+/fvx4svvojZs2fDzc0Np06dwtq1a+Hp6YmpU6e2+z2MYZaJd8eOHVi+fDl69uxpcHtpaSmmT5+OgQMHYtWqVbC3t0d2djbi4uKwY8cOBAUFyRwxEZlScnIyevbsiV27duGjjz6Cu7s7Zs2a1XKVWTOtVguNRtPyc0BAAHJycpCVlYWlS5eirq4O7u7umDRpEubNmwcHB4d2v4cxFIJgXs9iLiwsRHx8PN5++21cvXoVq1ev1qt4Fy9ejAMHDuDQoUNwcXEBcLdPExUVhf79+2Pr1q2i71N0pU9XfQSi+9agR8pF54wYn2bUsf7v01c7G47FMrser5OTE3JzczFlyhSD2wVBQH5+PsLCwlqSLnD37GRUVBSOHz+OmpoaucIlImo3s0u8Pj4+8Pf3b3V7eXk5amtr4e3trbfN29sbWq0WJSUlXRkiEbVFKxj3smJm2eNtS1VVFYC7l+n9WvNY85y2vHguVtrAiKzA14+YOoL7g8Ul3uY1d4Yu31MqlQCA+vp6WWMiontYdzFrFItLvM0Lmg1dvteclLt37y5rTET0X3z0jziz6/GKab68z9DdgCorK3XmEBGZI4ureHv37g1nZ2eD13AXFxdDqVTCx8fHBJEREQCTPHPN0lhcxQsAo0ePxtGjR1FRUdEyVldXh4MHDyI8PFxn0TMRkbkxu4q3rKwM1dXVAIAbN24AAC5cuIC6ujoAgK+vL+bOnYsDBw4gMTER8+fPh1KpxMaNG/HLL78gOTnZZLETEXu8xjC7xLt69Wrk5eXpjCUlJbX874KCAnh4eCAnJwdpaWlITk6GIAgIDg7Gtm3b4OXlJXfIRETtYnaXDMvliYOvmzoEIovzddQK0Tm/N2IOABy24v8PWmSPl4jIkpldq4GILJvCOv+IbherTbwNe3qZOgQiyxNlxBxtl0dh8dhqICKSmdVWvETUNdhqEMeKl4hIZqx4iUhaLHhFseIlIpIZK14ikhZ7vKJY8RIRyYwVLxFJijfJEcfES0TSYqtBlNUmXvd9F0wdApHl2WDqAO4PVpt4iahrKHjJsCieXCMikhkrXiKSFnu8oljxEhHJjBUvEUmLBa8oVrxERDJjxUtEkuJtIcWx4iUikhkrXiKSFiteUVabeDUVFaYOgej+xAsoRLHVQEQkM6uteImoa/DkmjhWvEREMmPFS0TSYsUrihUvEZHMWPESkbRY8YpixUtEJDNWvEQkLa7jFcXES0SS4nIycVabeIWwIFOHQERWymoTLxF1EVa8oph4icjiaTQabNiwAXl5eSgvL4erqyuio6OxYMEC2Nvbt7rf4sWLkZeX1+r2efPmYf78+di7dy/eeOMNg3N69eqFr776ql3xMvESkbRMUPGmpqZi165dmDdvHkJDQ3H+/HmsXLkSP/74I9auXdvqfvPmzcP06dP1xv/zn//gnXfeQVCQbkty7dq1cHNz0xlTKpXtjpeJl4gs2pUrV7Bz507ExcVhzpw5AIChQ4dCq9UiJSUF3377LUJCQgzu6+HhAQ8PD52x5v0iIiIQHh6us83Hx0dvfkdwHS8RSUsQjHtJpKCgAIIgYPz48Trj48aNg0KhQH5+fruOt2vXLhQVFbXaWpCCxVa8sbGxKCwsNLgtMTERr7zyiswREZEpFBcXQ6FQwNPTU2e8Z8+ecHd3x7lz54w+VkNDA1QqFaZMmYL+/ftLHOl/WWziBYCAgACkpKTojbu7u5sgGiICIPsFFFVVVXB0dIStra3eNmdnZ9y8edPoY+3Zswe3bt1CfHy8we07duzAkSNHUFpaCkdHR4wYMQILFy6Eq6tru2K26MTr4OCAwMBAU4dBRPeQ6gIKtVqN0tLSNuf06NEDDQ0NBpMucPfE1+3bt416v6amJmzevBnR0dGt9nEvXbqE5ORk9OjRA8eOHcOGDRtw9uxZ7NmzBzY2xqdTi068RHT/un79OqKjo9ucM2nSJNjb20OtVhvc3tjY2OZysnsdO3YMP/30E9599129bdHR0QgPD8dvfvOblrGQkBA4Oztj2bJlyMvLw9SpU416H4CJl4ikJlHF6+HhgeLiYtF5S5YsQW1tLRobG/Uq36qqKgwaNMio9/vyyy/x4IMPYtiwYXrb7O3tDSbwyMhILFu2DKdPn7aexFtdXY3Fixfj2LFjqKysRL9+/TBt2jSD6/J+7eKU7jJESERdzc/PD4Ig4Pz58wgICGgZr6ysRGVlpc5YawRBQEFBAZ544olW2xaGEntDQwMAwM7Orl0xW/RysrKyMvTp0wfp6elQqVTw8PDAsmXLsHnzZlOHRmS9tIJxL4lERkbCxsYG+/bt0xlv/nns2LGixygrK0NFRQUeffRRg9tnzJiBqKiolkTb7IsvvgAAhIaGtitmi614VSoVbGxs4Ojo2DIWERGBmJgYZGVlISYmRmcbEd2fevXqhbi4OGzevBnOzs4IDQ3FmTNnkJWVhcmTJ8PPz69l7owZM3Dp0iW9S3wvXboEAK2eVIuLi0NiYiLi4+MxY8YMODo64tixY9i0aRNCQ0MxatSodsVssYnXyclJb0yhUGDUqFE4deoULly4gODgYNnjIrJ6JrhkODk5GT179sSuXbvw0Ucfwd3dHbNmzWq5kq2ZVquFRqPR27+mpgbA3ZVShowYMQJbtmzBmjVr8Oqrr0KtVuPhhx9ueY9u3drXPLDYxKvVaqHVavWWcNTX1wNof8+FiCyXQqFAfHx8q+tvm23fvt3g+NNPP42nn366zX2HDx+O4cOHdzjGe1lkj7e0tBSDBw9Genq6zrhGo0F+fj6cnJzg5eVlouiIrJzMlwxbIousePv27YvIyEhkZ2fDxsYGYWFhqKurQ05ODkpKSpCamtqhOwYRkQSsPKkawyITLwCsWLEC/v7+2L17N7Zs2QKlUgl/f3+sXbsWI0eONHV4REStstjEa2triz/+8Y/44x//aOpQiOheEi4Vu19ZZI+XiMiSWWzF21kvRR00dQhEFmih+BSBz3cXw4qXiEhmVlvxElEX4aoGUax4iYhkxoqXiKTFVQ2imHiJSFpsNYhiq4GISGaseIlIWqx4RbHiJSKSGSteIpIWK15RVpt4k11+MHUIRGSlrDbxElEX0fKSYTHs8RIRyYwVLxFJiz1eUUy8RCQtJl5RbDUQEcmMFS8RSYv3ahDFipeISGaseIlIUgKfQCGKFS8RkcystuItUd8xdQhEFmeQMZPY4xXFipeISGZWW/ESURfhOl5RTLxEJC3eq0EUWw1ERDJjxUtE0mKrQRQrXiIimbHiJSJJCezximLFS0QkM1a8RCQt9nhFseIlIpKZ1Va8L56LNXUIRBbn60eMmMRLhkVZbeIloi7Cu5OJYquBiEhmrHiJSFICWw2iWPESEcnMohNvUVEREhISMHToUAQFBeEPf/gDCgsLTR0WkXUTtMa9rJjFJt7S0lJMnz4d1dXVWLVqFdatWwdHR0fExcXh1KlTpg6PiKhVFtvjXbNmDTQaDdavXw8XFxcAwNChQxEVFYXMzExs3brVtAESWSn2eMVZZMUrCALy8/MRFhbWknQBwNbWFlFRUTh+/DhqampMGCERUessMvGWl5ejtrYW3t7eetu8vb2h1WpRUlJigsiIiD1ecRbZaqiqqgIAODs7621rHmue05q/DXlL+sCI7mNubj1MHcJ9wyITb2NjI4C7rYVfUyqVAID6+vo2j8H/iIi6xpfa3aYOwexZZKvBzs4OAKBWq/W2NSfl7t27yxoTEZGxLDLxurm5AQBu3rypt62yslJnDhGRubHIxNu7d284OzujuLhYb1txcTGUSiV8fHxMEBkRkTiLTLwAMHr0aBw9ehQVFRUtY3V1dTh48CDCw8Ph4OBgwuiIiFqnEATLvF389evX8cwzz8DDwwPz58+HUqnExo0bcerUKezevRteXl6mDpGIyCCLTbwAcPHiRaSlpaGwsBCCICA4OBjJyckIDAw0dWhERK2y6MTbXkVFRcjIyMCJEyfQ1NSEwMBAJCUlITQ01NShWZ2ioiK8/PLLuHTpEvbv3w9PT0+97fyu5Hf06FGoVCqcPXsWdnZ28PLywuzZszFixIiWOfxuOs9ie7ztxZvqmI8dO3Zg6tSp+Pnnnw1u53dlGocOHcKLL74IR0dHqFQqpKWlwc7ODgkJCfj8888B8LuRjGAlXn/9dSEoKEioqqpqGWtoaBBGjBghzJgxw3SBWZnjx48LgYGBwu7du4WsrCzBx8dHuHDhgs4cflem8fTTTwtRUVFCY2Njy1hdXZ0QGhoqPP/884Ig8LuRilVUvAJvqmM2nJyckJubiylTphjczu/KNARBwJw5c5CSktJy9Sdw90Kkfv364dq1a/xuJGQViZc31TEfPj4+8Pf3b3U7vyvTUCgUiI6OxvDhw3XG1Wo1Ll++jL59+/K7kZBVJF4pbqpD8uB3ZV5UKhVu3bqFadOm8buRkFUkXiluqkPy4HdlPnJzc7FhwwZMnjwZUVFR/G4kZJF3J2sv3lTHcvC7Mg+rV6+GSqXC+PHj8e677wLgdyMlq0i8vKmO5eB3ZXpLly5Fbm4u4uPjsWjRIigUCgD8bqRkFYmXN9WxHPyuTCszMxMff/wxlixZghdeeEFnG78b6VhFjxfgTXUsCb8r08jPz8e6deuwcOFCvaTbjN+NNKzmkmHeVMc8lJWVobq6GgCwa9cu7Nq1C1lZWejTpw8AwNfXF9XV1fyuZNbU1IQxY8ZAEARkZma2tBfuxe9GOlaTeAHeVMccLF68GHl5ea1uLygogIeHB78rmZWVlWHUqFFtzuF3Ix2rSrxERObAanq8RETmgomXiEhmTLxERDJj4iUikhkTLxGRzJh4iYhkxsRLRCQzJl4iIpkx8RIRyYyJl0zu7NmzGDJkCF599VVJjldbW4tx48bh6aefRm1trSTHJJISLxkmk7p9+zYmTJiAHj16YM+ePS032+6sH374AZMnT8bw4cOxbt06SY5JJBVWvGRS7733Hq5evYqUlBTJki4ADBw4EPPnz8fhw4fxySefSHZcIimw4iWTOXPmDCZPnozf/e532Lx5s+THb2xsxFNPPQWtVotDhw4ZfFYYkSmw4qV2+/bbb+Hn54fnn38ev/53e8+ePfD19cXrr78uepzt27cDAOLj43XG9+7dC19fX2zduhWHDh3CxIkTMXjwYPz2t7/F+++/j6amJly+fBlz585FaGgoQkNDMXPmTFy8eFHnOLa2tpgyZQoqKirw2WefdfJTE0mHiZfaLSQkBLNmzcJ3332HnJyclvHKykqsXLkSDz/8MP70pz+1eQxBEPDVV1/BwcEBw4YNMzjn5MmTeP/99zFx4kQsWbIEPXv2RHZ2Nj788EPMnDkT/fr1wxtvvIGIiAh8/fXXWLBggd4xwsPDAQD79+/vxCcmkphA1AENDQ3ChAkThMcee0y4evWqIAiCsGDBAmHQoEHCN998I7r/2bNnBR8fHyExMVFv2yeffCL4+PgIAQEBwk8//dQy/t133wk+Pj6Cj4+P8Je//EVnn9GjRws+Pj5CaWmpznhTU5MwbNgwYciQIYJGo+nIRyWSHCte6hBbW1ukpaVBrVbjnXfewaFDh/D5558jISEBISEhovtfunQJADBgwIBW5/zud79reSQQAPj7+wMAunXrhilTpujM9fPzAwDcuHFDZ/yBBx5A3759cefOHdy6dcuoz0bU1Zh4qcO8vb2xcOFCHD58GAsXLkRAQADmzZtn1L7Nz11zdXVtdc7DDz+s83PzqgdXV1e9FRDNPzc1Nekdx8XFBYDhx5ITmQITL3XKxIkTYWdnh7q6OkyaNAlKpdKo/WpqagAAPXr0aHVOa6sQ2rs6ofk9mt+TyNSYeKlTli1bhqamJnh6eiIrKwtXr141ar+HHnoIAGS5sqz5PZrfk8jUmHipw/bv34+///3vmDVrFlQqFerr6/Haa69Bq9WK7uvs7AwAqKqq6uowW96jueVAZGpMvNQh169fR0pKCjw9PTF//nx4enpi3rx5KCwsNOpiiOaTas0n2bqKRqPBlStX4ODgACcnpy59LyJjMfFSuwmCgDfffBM1NTV4//33W3qus2bNQkBAAD788EOcO3euzWMMGjQIrq6uOH78uMETYlI5ffo0bt++jaFDh6JbN/7nTuaB/yVSu+Xk5ODIkSOYOXMmgoODW8ZtbGzw/vvvAwAWLVqEhoaGVo+hUCgQHh6OO3fu4JtvvumyWL/66isAQHR0dJe9B1F78V4NZDK8VwNZK1a8ZDIBAQGYMGECjhw5gu+++07y42/fvh3Xr1/HK6+8wqRLZoUVL5nUrVu3MHHiRMnvx3vp0iVMmjSJ9+Mls8TESyZ39uxZTJ8+HU899RTS0tI6fbyff/4ZMTExUCgU2LlzZ5sXaRCZAhMvEZHM2OMlIpIZEy8RkcyYeImIZMbES0QkMyZeIiKZMfESEcmMiZeISGZMvEREMvv/ALgsR2eTqRd7AAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ifft_field.imag.mpl()"
]
},
{
"cell_type": "markdown",
"id": "72133a4a",
"metadata": {},
"source": [
"As we can see, the real part of the inverse Fourier transformed field is visually identical to the original field, while the imaginary part is practically zero."
]
},
{
"cell_type": "markdown",
"id": "99c30539",
"metadata": {},
"source": [
"### rFFT\n",
"\n",
"As the original field we are using is real we can use a `rfft`. "
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "db91a5df",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd = np.power(np.abs(rfft_field), 2)\n",
"\n",
"psd.mpl()"
]
},
{
"cell_type": "markdown",
"id": "3b4bd018",
"metadata": {},
"source": [
"We can see that the mesh and the plot look different for real Fourier transforms compared to full Fourier transforms. For full Fourier transforms, the `mesh` is converted from the standard spatial domain to the spatial frequency domain but for real Fourier transforms there are some key differences. As before, each dimension of the mesh (`dims`) is prepended with `k_` to signify this change. However, the Fourier transformed `mesh` no longer has the the same number of points (`n`) as the original mesh in all directions. In the final dimension, the number of points is reduced by half (If n is even, the length of the transformed axis is $(n/2)+1$. If n is odd, the length is $(n+1)/2$).\n",
"\n",
"This halving is a result of the properties of real-valued functions, which have a Hermitian-symmetric Fourier transform. As a result, it is sufficient to store only half of the frequency components (those for non-negative frequencies).\n",
"\n",
"### irFFT\n",
"As we have an rFFT field we can convert this back to the spatial domain by using an irFFT."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "451d222f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
\n",
" \n",
"
Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [-10.0, -22.500000000000004]
\n",
"
pmax = [10.0, 22.500000000000004]
\n",
"
dims = ['x', 'y']
\n",
"
units = ['m', 'm']
\n",
"
\n",
"
n = [20, 44]
\n",
"
\n",
"
nvdim = 1
\n",
"
"
],
"text/plain": [
"Field(Mesh(Region(pmin=[-10.0, -22.500000000000004], pmax=[10.0, 22.500000000000004], dims=['x', 'y'], units=['m', 'm']), n=[20, 44]), nvdim=1)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"irfft_field = rfft_field.irfftn()\n",
"irfft_field"
]
},
{
"cell_type": "markdown",
"id": "8b24ace5",
"metadata": {},
"source": [
"As anticipated, the inverse transform function works effectively, yet the total number of points in the final geometric dimension of the mesh is one less than the original. This discrepancy arises due to the characteristics of grids with an odd number of cells. \n",
"\n",
"To reconcile this, we can explicitly specify the desired shape of the output while calling the `irfftn` function as this information is not stored in the Fourier transformed field. This way, we ensure that the final transformed field aligns with the original field in terms of its dimensionality."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "1d0133ce",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
\n",
" \n",
"
Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [0.0, -3.552713678800501e-15]
\n",
"
pmax = [20.0, 45.0]
\n",
"
dims = ['x', 'y']
\n",
"
units = ['m', 'm']
\n",
"
\n",
"
n = [20, 45]
\n",
"
\n",
"
nvdim = 1
\n",
"
"
],
"text/plain": [
"Field(Mesh(Region(pmin=[0.0, -3.552713678800501e-15], pmax=[20.0, 45.0], dims=['x', 'y'], units=['m', 'm']), n=[20, 45]), nvdim=1)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"irfft_field = rfft_field.irfftn(shape=field.mesh.n)\n",
"irfft_field.mesh.translate(field.mesh.region.centre, inplace=True)\n",
"irfft_field"
]
},
{
"cell_type": "markdown",
"id": "e0a41592",
"metadata": {},
"source": [
"Now we can use the `allclose` function to see that this is a good comparison to our original field."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "c16d3965",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"field.allclose(irfft_field)"
]
},
{
"cell_type": "markdown",
"id": "d2e004e2",
"metadata": {},
"source": [
"## Angular frequency"
]
},
{
"cell_type": "markdown",
"id": "81e9ad99",
"metadata": {},
"source": [
"As we noted earlier, the values of the axis in Fourier space are frequency NOT angular frequency so DO NOT include a factor of $2\\pi$, i.e. $|{\\bf k}| = \\frac{1}{\\lambda} \\neq \\frac{2 \\pi}{\\lambda}$, where $\\bf k$ is the wave vector and $\\lambda$ is the wavelength. However, we can convert the mesh into angular frequency.\n",
"\n",
"First we will perform a new Fourier transform and plot the PSD."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "f752c515",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd = np.power(np.abs(fft_field_freq), 2)\n",
"\n",
"psd.mpl()"
]
},
{
"cell_type": "markdown",
"id": "52876680",
"metadata": {},
"source": [
"The easiest method to convert to angular frequency is by modifying the existing field directly inplace. To achieve this, we can scale the mesh by a factor of $2\\pi$."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "d3513828",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Mesh\n",
"
\n",
"
Region\n",
"
\n",
"
pmin = [-3.166592653589793, -3.141592653589793]
\n",
"
pmax = [3.116592653589793, 3.141592653589793]
\n",
"
dims = ['k_x', 'k_y']
\n",
"
units = ['(m)$^{-1}$', '(m)$^{-1}$']
\n",
"
\n",
"
n = [20, 45]
\n",
"
"
],
"text/plain": [
"Mesh(Region(pmin=[-3.166592653589793, -3.141592653589793], pmax=[3.116592653589793, 3.141592653589793], dims=['k_x', 'k_y'], units=['(m)$^{-1}$', '(m)$^{-1}$']), n=[20, 45])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fft_field_freq.mesh.scale(2 * np.pi, inplace=True)"
]
},
{
"cell_type": "markdown",
"id": "d751db23",
"metadata": {},
"source": [
"Plotting the PSD of the field again, we can see that the axes labels have expanded by a factor of $2\\pi$. "
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "6d6389a0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd = np.power(np.abs(fft_field_freq), 2)\n",
"\n",
"psd.mpl()"
]
},
{
"cell_type": "markdown",
"id": "b080df43",
"metadata": {},
"source": [
"## Visualising and analysing FFTs\n",
"\n",
"To demonstrate the power of FFTs and provide some visualisation techniques for their outputs, we have prepared the following example.\n",
"\n",
"We have initialised the field with a complicated three dimensional vector field on a mesh with three spatial dimensions.\n",
"This example is intricate in order to showcase some of the functionality so don't worry if you don't understand all of the details.\n",
"\n",
"We have created a vector field made up of three distinct waves (and additional noise):\n",
"1. A helix propagating in the $y$ direction with a wavelength of $7\\, \\mathrm{nm}$. The vector components point in the $xz$ plane.\n",
"2. A density wave propagating in the $xyz$ direction with a wavelength of $5\\, \\mathrm{nm}$. The vector components point in the $z$ direction.\n",
"3. A density wave propagating in the $xy$ direction with a wavelength of $10\\, \\mathrm{nm}$. The vector components point in the $z$ direction."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "5247e22b",
"metadata": {},
"outputs": [],
"source": [
"mesh = df.Mesh(p1=(0, 0, 0), p2=(30e-9, 30e-9, 30e-9), cell=(0.5e-9, 0.5e-9, 0.5e-9))\n",
"\n",
"\n",
"def value(p):\n",
" x, y, z = p\n",
" # First wave\n",
" k1 = 1 / 7e-9\n",
" v = np.array([np.sin(2 * np.pi * k1 * y), 0, np.cos(2 * np.pi * k1 * y)])\n",
" # Second wave\n",
" k2 = 1 / 5e-9\n",
" v += 2 * np.array([0, 0, np.cos(2 * np.pi * k2 * (x + y + z) / np.sqrt(3))])\n",
" # Third wave\n",
" k3 = 1 / 10e-9\n",
" v += np.array([0, 0, np.cos(2 * np.pi * k3 * (x + y) / np.sqrt(2))])\n",
" # Random noise\n",
" v += np.random.normal(0, 0.1, 3)\n",
" return v\n",
"\n",
"\n",
"field = df.Field(mesh, nvdim=3, value=value)"
]
},
{
"cell_type": "markdown",
"id": "bb37f550",
"metadata": {},
"source": [
"As expected due to the complexity, visualising this vector field can be challenging. While `mpl` can be used to depict the magnetic structure, it struggles to capture the entire picture due to variations in the vector field across all dimensions."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "245f5edb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"field.sel(\"z\").mpl()"
]
},
{
"cell_type": "markdown",
"id": "478cfb17",
"metadata": {},
"source": [
"In this circumstance we can use `hv` to examine the magnetic texture in more detail."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "7bd242d2",
"metadata": {
"tags": [
"nbval-ignore-output"
]
},
"outputs": [
{
"data": {
"application/javascript": [
"(function(root) {\n",
" function now() {\n",
" return new Date();\n",
" }\n",
"\n",
" var force = true;\n",
" var py_version = '3.2.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n",
" var is_dev = py_version.indexOf(\"+\") !== -1 || py_version.indexOf(\"-\") !== -1;\n",
" var reloading = false;\n",
" var Bokeh = root.Bokeh;\n",
" var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n",
"\n",
" if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n",
" root._bokeh_timeout = Date.now() + 5000;\n",
" root._bokeh_failed_load = false;\n",
" }\n",
"\n",
" function run_callbacks() {\n",
" try {\n",
" root._bokeh_onload_callbacks.forEach(function(callback) {\n",
" if (callback != null)\n",
" callback();\n",
" });\n",
" } finally {\n",
" delete root._bokeh_onload_callbacks;\n",
" }\n",
" console.debug(\"Bokeh: all callbacks have finished\");\n",
" }\n",
"\n",
" function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n",
" if (css_urls == null) css_urls = [];\n",
" if (js_urls == null) js_urls = [];\n",
" if (js_modules == null) js_modules = [];\n",
" if (js_exports == null) js_exports = {};\n",
"\n",
" root._bokeh_onload_callbacks.push(callback);\n",
"\n",
" if (root._bokeh_is_loading > 0) {\n",
" console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
" return null;\n",
" }\n",
" if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n",
" run_callbacks();\n",
" return null;\n",
" }\n",
" if (!reloading) {\n",
" console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
" }\n",
"\n",
" function on_load() {\n",
" root._bokeh_is_loading--;\n",
" if (root._bokeh_is_loading === 0) {\n",
" console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
" run_callbacks()\n",
" }\n",
" }\n",
" window._bokeh_on_load = on_load\n",
"\n",
" function on_error() {\n",
" console.error(\"failed to load \" + url);\n",
" }\n",
"\n",
" var skip = [];\n",
" if (window.requirejs) {\n",
" window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n",
" require([\"jspanel\"], function(jsPanel) {\n",
"\twindow.jsPanel = jsPanel\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-modal\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-tooltip\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-hint\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-layout\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-contextmenu\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"jspanel-dock\"], function() {\n",
"\ton_load()\n",
" })\n",
" require([\"gridstack\"], function(GridStack) {\n",
"\twindow.GridStack = GridStack\n",
"\ton_load()\n",
" })\n",
" require([\"notyf\"], function() {\n",
"\ton_load()\n",
" })\n",
" root._bokeh_is_loading = css_urls.length + 9;\n",
" } else {\n",
" root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n",
" }\n",
"\n",
" var existing_stylesheets = []\n",
" var links = document.getElementsByTagName('link')\n",
" for (var i = 0; i < links.length; i++) {\n",
" var link = links[i]\n",
" if (link.href != null) {\n",
"\texisting_stylesheets.push(link.href)\n",
" }\n",
" }\n",
" for (var i = 0; i < css_urls.length; i++) {\n",
" var url = css_urls[i];\n",
" if (existing_stylesheets.indexOf(url) !== -1) {\n",
"\ton_load()\n",
"\tcontinue;\n",
" }\n",
" const element = document.createElement(\"link\");\n",
" element.onload = on_load;\n",
" element.onerror = on_error;\n",
" element.rel = \"stylesheet\";\n",
" element.type = \"text/css\";\n",
" element.href = url;\n",
" console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
" document.body.appendChild(element);\n",
" } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n",
" var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n",
" for (var i = 0; i < urls.length; i++) {\n",
" skip.push(urls[i])\n",
" }\n",
" } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n",
" var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n",
" for (var i = 0; i < urls.length; i++) {\n",
" skip.push(urls[i])\n",
" }\n",
" } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n",
" var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n",
" for (var i = 0; i < urls.length; i++) {\n",
" skip.push(urls[i])\n",
" }\n",
" } var existing_scripts = []\n",
" var scripts = document.getElementsByTagName('script')\n",
" for (var i = 0; i < scripts.length; i++) {\n",
" var script = scripts[i]\n",
" if (script.src != null) {\n",
"\texisting_scripts.push(script.src)\n",
" }\n",
" }\n",
" for (var i = 0; i < js_urls.length; i++) {\n",
" var url = js_urls[i];\n",
" if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n",
"\tif (!window.requirejs) {\n",
"\t on_load();\n",
"\t}\n",
"\tcontinue;\n",
" }\n",
" var element = document.createElement('script');\n",
" element.onload = on_load;\n",
" element.onerror = on_error;\n",
" element.async = false;\n",
" element.src = url;\n",
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
" document.head.appendChild(element);\n",
" }\n",
" for (var i = 0; i < js_modules.length; i++) {\n",
" var url = js_modules[i];\n",
" if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n",
"\tif (!window.requirejs) {\n",
"\t on_load();\n",
"\t}\n",
"\tcontinue;\n",
" }\n",
" var element = document.createElement('script');\n",
" element.onload = on_load;\n",
" element.onerror = on_error;\n",
" element.async = false;\n",
" element.src = url;\n",
" element.type = \"module\";\n",
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
" document.head.appendChild(element);\n",
" }\n",
" for (const name in js_exports) {\n",
" var url = js_exports[name];\n",
" if (skip.indexOf(url) >= 0 || root[name] != null) {\n",
"\tif (!window.requirejs) {\n",
"\t on_load();\n",
"\t}\n",
"\tcontinue;\n",
" }\n",
" var element = document.createElement('script');\n",
" element.onerror = on_error;\n",
" element.async = false;\n",
" element.type = \"module\";\n",
" console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
" element.textContent = `\n",
" import ${name} from \"${url}\"\n",
" window.${name} = ${name}\n",
" window._bokeh_on_load()\n",
" `\n",
" document.head.appendChild(element);\n",
" }\n",
" if (!js_urls.length && !js_modules.length) {\n",
" on_load()\n",
" }\n",
" };\n",
"\n",
" function inject_raw_css(css) {\n",
" const element = document.createElement(\"style\");\n",
" element.appendChild(document.createTextNode(css));\n",
" document.body.appendChild(element);\n",
" }\n",
"\n",
" var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.2.2.min.js\", \"https://cdn.holoviz.org/panel/1.2.3/dist/panel.min.js\"];\n",
" var js_modules = [];\n",
" var js_exports = {};\n",
" var css_urls = [];\n",
" var inline_js = [ function(Bokeh) {\n",
" Bokeh.set_log_level(\"info\");\n",
" },\n",
"function(Bokeh) {} // ensure no trailing comma for IE\n",
" ];\n",
"\n",
" function run_inline_js() {\n",
" if ((root.Bokeh !== undefined) || (force === true)) {\n",
" for (var i = 0; i < inline_js.length; i++) {\n",
" inline_js[i].call(root, root.Bokeh);\n",
" }\n",
" // Cache old bokeh versions\n",
" if (Bokeh != undefined && !reloading) {\n",
"\tvar NewBokeh = root.Bokeh;\n",
"\tif (Bokeh.versions === undefined) {\n",
"\t Bokeh.versions = new Map();\n",
"\t}\n",
"\tif (NewBokeh.version !== Bokeh.version) {\n",
"\t Bokeh.versions.set(NewBokeh.version, NewBokeh)\n",
"\t}\n",
"\troot.Bokeh = Bokeh;\n",
" }} else if (Date.now() < root._bokeh_timeout) {\n",
" setTimeout(run_inline_js, 100);\n",
" } else if (!root._bokeh_failed_load) {\n",
" console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
" root._bokeh_failed_load = true;\n",
" }\n",
" root._bokeh_is_initializing = false\n",
" }\n",
"\n",
" function load_or_wait() {\n",
" // Implement a backoff loop that tries to ensure we do not load multiple\n",
" // versions of Bokeh and its dependencies at the same time.\n",
" // In recent versions we use the root._bokeh_is_initializing flag\n",
" // to determine whether there is an ongoing attempt to initialize\n",
" // bokeh, however for backward compatibility we also try to ensure\n",
" // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n",
" // before older versions are fully initialized.\n",
" if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n",
" root._bokeh_is_initializing = false;\n",
" root._bokeh_onload_callbacks = undefined;\n",
" console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n",
" load_or_wait();\n",
" } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n",
" setTimeout(load_or_wait, 100);\n",
" } else {\n",
" Bokeh = root.Bokeh;\n",
" bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n",
" root._bokeh_is_initializing = true\n",
" root._bokeh_onload_callbacks = []\n",
" if (!reloading && (!bokeh_loaded || is_dev)) {\n",
"\troot.Bokeh = undefined;\n",
" }\n",
" load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n",
"\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
"\trun_inline_js();\n",
" });\n",
" }\n",
" }\n",
" // Give older versions of the autoload script a head-start to ensure\n",
" // they initialize before we start loading newer version.\n",
" setTimeout(load_or_wait, 100)\n",
"}(window));"
],
"application/vnd.holoviews_load.v0+json": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.2.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var is_dev = py_version.indexOf(\"+\") !== -1 || py_version.indexOf(\"-\") !== -1;\n var reloading = false;\n var Bokeh = root.Bokeh;\n var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n\n if (typeof (root._bokeh_timeout) === \"undefined\" || force) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks;\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, js_modules, js_exports, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n if (js_modules == null) js_modules = [];\n if (js_exports == null) js_exports = {};\n\n root._bokeh_onload_callbacks.push(callback);\n\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n run_callbacks();\n return null;\n }\n if (!reloading) {\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n }\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n window._bokeh_on_load = on_load\n\n function on_error() {\n console.error(\"failed to load \" + url);\n }\n\n var skip = [];\n if (window.requirejs) {\n window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n require([\"jspanel\"], function(jsPanel) {\n\twindow.jsPanel = jsPanel\n\ton_load()\n })\n require([\"jspanel-modal\"], function() {\n\ton_load()\n })\n require([\"jspanel-tooltip\"], function() {\n\ton_load()\n })\n require([\"jspanel-hint\"], function() {\n\ton_load()\n })\n require([\"jspanel-layout\"], function() {\n\ton_load()\n })\n require([\"jspanel-contextmenu\"], function() {\n\ton_load()\n })\n require([\"jspanel-dock\"], function() {\n\ton_load()\n })\n require([\"gridstack\"], function(GridStack) {\n\twindow.GridStack = GridStack\n\ton_load()\n })\n require([\"notyf\"], function() {\n\ton_load()\n })\n root._bokeh_is_loading = css_urls.length + 9;\n } else {\n root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n }\n\n var existing_stylesheets = []\n var links = document.getElementsByTagName('link')\n for (var i = 0; i < links.length; i++) {\n var link = links[i]\n if (link.href != null) {\n\texisting_stylesheets.push(link.href)\n }\n }\n for (var i = 0; i < css_urls.length; i++) {\n var url = css_urls[i];\n if (existing_stylesheets.indexOf(url) !== -1) {\n\ton_load()\n\tcontinue;\n }\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error;\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } var existing_scripts = []\n var scripts = document.getElementsByTagName('script')\n for (var i = 0; i < scripts.length; i++) {\n var script = scripts[i]\n if (script.src != null) {\n\texisting_scripts.push(script.src)\n }\n }\n for (var i = 0; i < js_urls.length; i++) {\n var url = js_urls[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (var i = 0; i < js_modules.length; i++) {\n var url = js_modules[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (const name in js_exports) {\n var url = js_exports[name];\n if (skip.indexOf(url) >= 0 || root[name] != null) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onerror = on_error;\n element.async = false;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n element.textContent = `\n import ${name} from \"${url}\"\n window.${name} = ${name}\n window._bokeh_on_load()\n `\n document.head.appendChild(element);\n }\n if (!js_urls.length && !js_modules.length) {\n on_load()\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.2.2.min.js\", \"https://cdn.holoviz.org/panel/1.2.3/dist/panel.min.js\"];\n var js_modules = [];\n var js_exports = {};\n var css_urls = [];\n var inline_js = [ function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\nfunction(Bokeh) {} // ensure no trailing comma for IE\n ];\n\n function run_inline_js() {\n if ((root.Bokeh !== undefined) || (force === true)) {\n for (var i = 0; i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n // Cache old bokeh versions\n if (Bokeh != undefined && !reloading) {\n\tvar NewBokeh = root.Bokeh;\n\tif (Bokeh.versions === undefined) {\n\t Bokeh.versions = new Map();\n\t}\n\tif (NewBokeh.version !== Bokeh.version) {\n\t Bokeh.versions.set(NewBokeh.version, NewBokeh)\n\t}\n\troot.Bokeh = Bokeh;\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n }\n root._bokeh_is_initializing = false\n }\n\n function load_or_wait() {\n // Implement a backoff loop that tries to ensure we do not load multiple\n // versions of Bokeh and its dependencies at the same time.\n // In recent versions we use the root._bokeh_is_initializing flag\n // to determine whether there is an ongoing attempt to initialize\n // bokeh, however for backward compatibility we also try to ensure\n // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n // before older versions are fully initialized.\n if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n root._bokeh_is_initializing = false;\n root._bokeh_onload_callbacks = undefined;\n console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n load_or_wait();\n } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n setTimeout(load_or_wait, 100);\n } else {\n Bokeh = root.Bokeh;\n bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n root._bokeh_is_initializing = true\n root._bokeh_onload_callbacks = []\n if (!reloading && (!bokeh_loaded || is_dev)) {\n\troot.Bokeh = undefined;\n }\n load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n\trun_inline_js();\n });\n }\n }\n // Give older versions of the autoload script a head-start to ensure\n // they initialize before we start loading newer version.\n setTimeout(load_or_wait, 100)\n}(window));"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"\n",
"if ((window.PyViz === undefined) || (window.PyViz instanceof HTMLElement)) {\n",
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"}\n",
"\n",
"\n",
" function JupyterCommManager() {\n",
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" JupyterCommManager.prototype.register_target = function(plot_id, comm_id, msg_handler) {\n",
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" var comm_manager = window.comm_manager || Jupyter.notebook.kernel.comm_manager;\n",
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" } else if ((plot_id in window.PyViz.kernels) && (window.PyViz.kernels[plot_id])) {\n",
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" } else if (typeof google != 'undefined' && google.colab.kernel != null) {\n",
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\n",
" \n",
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\n",
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":DynamicMap [z,vdims]\n",
" :Image [x,y] (field)"
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},
"execution_count": 23,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "p1002"
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"source": [
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]
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"cell_type": "markdown",
"id": "d7d1b2df",
"metadata": {},
"source": [
"Now we will perform an FFT on the field and calculate the PSD"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "6a44b38c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Field\n",
"
units = ['(m)$^{-1}$', '(m)$^{-1}$', '(m)$^{-1}$']
\n",
"
\n",
"
n = [60, 60, 60]
\n",
"
\n",
"
nvdim = 3
\n",
"
vdims:\n",
"
ft_x
\n",
"
ft_y
\n",
"
ft_z
\n",
"
\n",
"
\n",
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"text/plain": [
"Field(Mesh(Region(pmin=[-1016666666.6666667, -1016666666.6666667, -1016666666.6666667], pmax=[983333333.3333334, 983333333.3333334, 983333333.3333334], dims=['k_x', 'k_y', 'k_z'], units=['(m)$^{-1}$', '(m)$^{-1}$', '(m)$^{-1}$']), n=[60, 60, 60]), nvdim=3, vdims: (ft_x, ft_y, ft_z))"
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"source": [
"psd = np.power(np.abs(fft_field), 2)\n",
"psd"
]
},
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"cell_type": "markdown",
"id": "5f36dc74",
"metadata": {},
"source": [
"We can use `mpl` to plot two dimensional cross-sections of the PSD in a similar way to the previous example. Given that two of our propagation vectors reside in the $xy$ plane, we will select a cut at $k_z=0$ to visualise the $k_x k_y$ plane.\n",
"For analysis, it is often more straightforward to plot and examine one component at a time.\n",
"\n",
"The plot of the `ft_x` component only shows peaks due to the helix (first wave) as it is the only wave with a vector component in the $x$ direction."
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "8dd88302",
"metadata": {},
"outputs": [
{
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd.ft_x.sel(\"k_z\").mpl()"
]
},
{
"cell_type": "markdown",
"id": "6b6c2a8e",
"metadata": {},
"source": [
"There are not waves with vector components in the $y$ direction, hence all we see is noise."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "42495883",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd.ft_y.sel(\"k_z\").mpl()"
]
},
{
"cell_type": "markdown",
"id": "fb24942e",
"metadata": {},
"source": [
"All three waves have vector components in the $z$ direction. However, only the helix (first wave) and one of the density waves (third wave) have their propagation vectors lying in the $xy$ plane (i.e. $k_z=0$). Hence we see four peaks corresponding to these two waves."
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "a12ed512",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd.ft_z.sel(\"k_z\").mpl()"
]
},
{
"cell_type": "markdown",
"id": "7d8d4ec0",
"metadata": {},
"source": [
"But what about the other density wave (second wave) propagating in the $xyz$ direction?\n",
"\n",
"We cannot access a $xyz$ plane in `discretisedfield` without rotations as the mesh is based on a discretised cartesian grid. However, we can plot the $k_x k_y$ plane at a non-zero $k_z$ value to see one of the peaks."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "53dce7fd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"psd.ft_z.sel(k_z=1.15e8).mpl()"
]
},
{
"cell_type": "markdown",
"id": "93474071",
"metadata": {},
"source": [
"We can now clearly see the peak related to the density wave propagating in the $xyz$ $(111)$ direction.\n",
"\n",
"An easier way to visualise this data is again using the `hv` plotting functionality. This allows us to select the component of the field we want to look at while using a slider to move through the other dimensions.\n",
"\n",
"Take a while to play with the plot. Make sure to look at all of the components at the center plane $(k_z=0\\,\\mathrm{m}^{-1})$ and also where we expect to see out other propagation vector $\\left(k_z=\\pm \\frac{1}{5\\times 10 ^{-9}\\sqrt{3}}\\,\\mathrm{m}^{-1} =\\pm 1.15\\times 10 ^{8}\\,\\mathrm{m}^{-1}\\right)$. Further information of plotting using `hv` can be found in the Documentation and API reference."
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "189c73f2",
"metadata": {
"tags": [
"nbval-ignore-output"
]
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.holoviews_exec.v0+json": "",
"text/html": [
"
\n",
" \n",
"
\n",
""
],
"text/plain": [
":DynamicMap [k_z,vdims]\n",
" :Image [k_x,k_y] (field)"
]
},
"execution_count": 30,
"metadata": {
"application/vnd.holoviews_exec.v0+json": {
"id": "p1082"
}
},
"output_type": "execute_result"
}
],
"source": [
"psd.hv.scalar(kdims=[\"k_x\", \"k_y\"], clim=(0, psd.array.max()))"
]
},
{
"cell_type": "markdown",
"id": "9ba2d146",
"metadata": {},
"source": [
"Rather than plotting a plane we can use the `line` functionality in `discretisedfield` to examine the values along a one dimensional line in any arbitrary direction. Here we will create a diagonal line from the bottom left corner of our mesh $\\left(p_\\mathrm{min}\\right)$ to the top right corner of our mesh $\\left(p_\\mathrm{max}\\right)$. For further information on the line method please see the documentation and API reference."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "840cfec0",
"metadata": {
"tags": [
"nbval-ignore-output"
]
},
"outputs": [
{
"data": {
"text/html": [
"