{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# FMR standard problem\n", "\n", "## Problem specification\n", "\n", "We choose a cuboidal thin film permalloy sample measuring $120 \\times 120 \\times 10 \\,\\text{nm}^{3}$. The choice of a cuboid is important as it ensures that the finite difference method employed by OOMMF does not introduce errors due to irregular boundaries that cannot be discretised well. We choose the thin film geometry to be thin enough so that the variation of magnetisation dynamics along the out-of-film direction can be neglected. Material parameters based on permalloy are:\n", "\n", "- exchange energy constant $A = 1.3 \\times 10^{-11} \\,\\text{J/m}$,\n", "- magnetisation saturation $M_\\text{s} = 8 \\times 10^{5} \\,\\text{A/m}$,\n", "- Gilbert damping $\\alpha = 0.008$.\n", "\n", "An external magnetic bias field with magnitude $80 \\,\\text{kA/m}$ is applied along the direction $e = (1, 0.715, 0)$. We choose the external magnetic field direction slightly off the sample diagonal in order to break the system’s symmetry and thus avoid degenerate eigenmodes. First, we initialize the system with a uniform out-of-plane magnetisation $m_{0} = (0, 0, 1)$. The system is allowed to relax for $5 \\,\\text{ns}$, which was found to be sufficient time to obtain a well-converged equilibrium magnetisation configuration. We refer to this stage of simulation as the relaxation stage, and its final relaxed magnetisation configuration is saved to serve as the initial configuration for the next dynamic stage. Because we want to use a well defined method that is supported by all simulation tools, we minimize the system’s energy by integrating the LLG equation with a large, quasistatic Gilbert damping $\\alpha = 1$ for $5 \\,\\text{ns}$. In the next step (dynamic stage), a simulation is started using the equilibrium magnetisation configuration from the relaxation stage as the initial configuration. Now, the direction of an external magnetic field is altered to $e = (1, 0.7, 0)$. This simulation stage runs for $T = 20 \\,\\text{ns}$ while the (average and spatially resolved) magnetisation $M(t)$ is recorded every $\\Delta t = 5 \\,\\text{ps}$. The Gilbert damping in this dynamic simulation stage is $\\alpha = 0.008$.\n", "\n", "Details of this standard problem specification can be found in Ref. 1.\n", "\n", "## Relaxation stage\n", "\n", "Firstly, all required modules are imported." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import oommfc as oc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we specify all simulation parameters." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "lx = ly = 120e-9 # x and y dimensions of the sample(m)\n", "lz = 10e-9 # sample thickness (m)\n", "dx = dy = dz = 5e-9 # discretisation in x, y, and z directions (m)\n", "\n", "Ms = 8e5 # saturation magnetisation (A/m)\n", "A = 1.3e-11 # exchange energy constant (J/m)\n", "H = 8e4 * np.array([0.81345856316858023, 0.58162287266553481, 0.0])\n", "alpha = 0.008 # Gilbert damping\n", "gamma0 = 2.211e5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, the system object can be created and mesh, magnetisation, hamiltonian, and dynamics are specified." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "mesh = df.Mesh(p1=(0, 0, 0), p2=(lx, ly, lz), cell=(dx, dy, dz))\n", "\n", "system = mm.System(name='stdprobfmr')\n", "\n", "system.energy = mm.Exchange(A=A) + mm.Demag() + mm.Zeeman(H=H)\n", "system.dynamics = mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha)\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=Ms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the system is relaxed." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:04]... (0.4 s)\n" ] } ], "source": [ "md = oc.MinDriver()\n", "md.drive(system)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now load the relaxed state to the Field object and plot the $z$ slice of magnetisation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.sel('z').resample((10, 10)).mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic stage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the dynamic stage, we use the relaxed state from the relaxation stage." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Change external magnetic field.\n", "H = 8e4 * np.array([0.81923192051904048, 0.57346234436332832, 0.0])\n", "system.energy.zeeman.H = H" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we run the multiple stage simulation using `TimeDriver`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:04]... (47.8 s)\n" ] } ], "source": [ "T = 20e-9\n", "n = 4000\n", "\n", "td = oc.TimeDriver()\n", "td.drive(system, t=T, n=n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Postprocessing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the obtained vector field samples, we can compute the average of magnetisation $y$ component and plot its time evolution. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "t = system.table.data['t'].values\n", "my = system.table.data['mx'].values\n", "\n", "# Plot time evolution.\n", "plt.figure(figsize=(8, 6))\n", "plt.plot(t, my)\n", "plt.xlabel('t (ns)')\n", "plt.ylabel('my average')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the $$ time evolution, we can compute and plot its Fourier transform." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.fft\n", "\n", "psd = np.log10(np.abs(scipy.fft.fft(my))**2)\n", "f_axis = scipy.fft.fftfreq(4000, d=20e-9/4000)\n", "\n", "plt.plot(f_axis/1e9, psd)\n", "plt.xlim([6, 12])\n", "plt.xlabel('f (GHz)')\n", "plt.ylabel('Psa (a.u.)')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## References\n", "\n", "[1] A. Baker, M. Beg, G. Ashton, M. Albert, D. Chernyshenko, W. Wang, S. Zhang, M.-A. Bisotti, M. Franchin, C.L. Hu, R. Stamps, T. Hesjedal, and H. Fangohr, *J. Magn. Magn. Mater.* **421**, 428 (2017)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }