{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Both spatially and time varying field\n", "\n", "When it is necessary to specify an external magnetic field which varies both in space and time, it can be done by:\n", "\n", "- defining an external magnetic field using `discretisedfield.Field`\n", "- passing `wave` argument to `micromagneticmodel.Zeeman` term\n", "\n", "For more details on time-varying fields, please refer to other tutorials. We start by defining a system object." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import oommfc as mc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "\n", "region = df.Region(p1=(-50e-9, -50e-9, 0), p2=(50e-9, 50e-9, 10e-9))\n", "mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9))\n", "\n", "system = mm.System(name='space_time_varying_field')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can specify spatial and time varying field components. For the time-varying component, we choose a sine-wave with $5\\,\\text{GHz}$ frequency and no time shift." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "def Hspace(point):\n", " x, y, z = point\n", " if x**2 + y**2 < 20e-9**2:\n", " return (0, 0, 1e6)\n", " else:\n", " return (0, 0, 0)\n", "\n", "H = df.Field(mesh, nvdim=3, value=Hspace)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spatial distribution of the field looks like:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mlang/miniconda3/envs/ubermagdev310/lib/python3.10/site-packages/matplotlib/quiver.py:645: RuntimeWarning: divide by zero encountered in scalar divide\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n", "/home/mlang/miniconda3/envs/ubermagdev310/lib/python3.10/site-packages/matplotlib/quiver.py:645: RuntimeWarning: invalid value encountered in multiply\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "H.sel(\"z\").mpl()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [], "source": [ "system.energy = mm.Zeeman(H=H, func='sin', f=2e9, t0=0)\n", "system.dynamics = mm.Precession(gamma0=mm.consts.gamma0) + mm.Damping(alpha=1e-5)\n", "\n", "# create system with above geometry and initial magnetisation\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 0.1, 1), norm=1.1e6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can drive the system using `TimeDriver`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:08]... (1.9 s)\n" ] } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=5e-9, n=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can have a look at the Zeeman energy." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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