{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Time-varying field\n", "\n", "In this tutorial, we introduce how a time-dependent external magnetic field can be defined in energy equation. We start by importing the modules we are going to use:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import oommfc as mc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sample, we choose a one-dimensional chain of magnetic moments." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "p1 = (-10e-9, 0, 0)\n", "p2 = (10e-9, 1e-9, 1e-9)\n", "cell = (1e-9, 1e-9, 1e-9)\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, cell=cell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mesh is:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(box_aspect=(10, 3, 3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can define the system object and add a time-dependent sine-wave field to our energy equation. We need to pass:\n", "\n", "- Field `H` which is multiplied by time-dependent function at each time step,\n", "- wave shape `func='sin'`\n", "- frequency `f`, and\n", "- time shift `t0`.\n", "\n", "Accordingly, the time-dependent Zeeman field is then:\n", "\n", "$$\\mathbf{H}(t) = \\mathbf{H}_\\text{amp}\\sin(2\\pi f (t-t_{0}))$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [], "source": [ "system = mm.System(name=\"time_dependent_field\")\n", "\n", "system.energy = mm.Exchange(A=1.6e-11) + mm.Zeeman(\n", " H=(1e6, 2e6, 3e6), func=\"sin\", f=1e9, t0=1e-9\n", ")\n", "system.dynamics = mm.Precession(gamma0=mm.consts.gamma0) + mm.Damping(alpha=1e-5)\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=1.1e6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can run the simulation using `TimeDriver`:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:03]... (2.3 s)\n" ] } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=5e-9, n=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the system table, there are columns with field values:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/html": [ "
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EE_calc_countmax_dm/dtdE/dtdelta_EE_exchangemax_spin_ang_exchangestage_max_spin_ang_exchangerun_max_spin_ang_exchangeE_zeeman...By_zeemanBz_zeemaniterationstage_iterationstagemxmymzlast_time_stept
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1-2.562001e-2056.08.766104e+03-4.954602e-10-1.204656e-210.00.00.00.0-2.562001e-20...7.766444e+021.164967e+039.05.01.00.090633-0.0385640.9951372.425770e-125.000000e-11
2-3.759093e-20105.01.290846e+04-4.636140e-10-1.221901e-210.00.00.00.0-3.759093e-20...1.141003e+031.711504e+0317.07.02.00.7842840.2614490.5626222.631440e-127.500000e-11
3-4.863542e-20184.01.673341e+04-4.207088e-10-6.112468e-220.00.00.00.0-4.863542e-20...1.477265e+032.215898e+0330.012.03.00.015202-0.0108570.9998251.449728e-121.000000e-10
4-5.848036e-20299.02.014752e+04-3.675974e-10-2.915541e-220.00.00.00.0-5.848036e-20...1.777153e+032.665730e+0348.017.04.00.497085-0.0519940.8661437.913664e-131.250000e-10
..................................................................
1954.436379e-2020614.01.906705e+04-3.837992e-10-2.268306e-220.00.00.00.04.436379e-20...-1.477265e+03-2.215898e+033450.015.0195.0-0.020176-0.1146650.9931995.918021e-134.900000e-09
1963.422674e-2020687.01.474584e+04-4.221479e-10-5.046823e-220.00.00.00.03.422674e-20...-1.141003e+03-1.711504e+033463.012.0196.00.8480440.2090720.4869391.197700e-124.925000e-09
1972.328011e-2020742.01.004530e+04-4.502211e-10-1.083878e-210.00.00.00.02.328011e-20...-7.766444e+02-1.164967e+033473.09.0197.00.063640-0.1493990.9867272.412896e-124.950000e-09
1981.178128e-2020779.05.087140e+03-4.673789e-10-2.358762e-210.00.00.00.01.178128e-20...-3.931627e+02-5.897440e+023480.06.0198.00.8228050.1161780.5563225.059389e-124.975000e-09
1996.088592e-3420804.02.629445e-10-4.731610e-10-2.217703e-210.00.00.00.06.088592e-34...-2.032019e-11-3.048028e-113485.04.0199.0-0.041748-0.1072000.9933614.687671e-125.000000e-09
\n", "

200 rows × 22 columns

\n", "
" ], "text/plain": [ " E E_calc_count max_dm/dt dE/dt delta_E \\\n", "0 -1.297563e-20 25.0 4.434031e+03 -5.147568e-10 -1.812700e-21 \n", "1 -2.562001e-20 56.0 8.766104e+03 -4.954602e-10 -1.204656e-21 \n", "2 -3.759093e-20 105.0 1.290846e+04 -4.636140e-10 -1.221901e-21 \n", "3 -4.863542e-20 184.0 1.673341e+04 -4.207088e-10 -6.112468e-22 \n", "4 -5.848036e-20 299.0 2.014752e+04 -3.675974e-10 -2.915541e-22 \n", ".. ... ... ... ... ... \n", "195 4.436379e-20 20614.0 1.906705e+04 -3.837992e-10 -2.268306e-22 \n", "196 3.422674e-20 20687.0 1.474584e+04 -4.221479e-10 -5.046823e-22 \n", "197 2.328011e-20 20742.0 1.004530e+04 -4.502211e-10 -1.083878e-21 \n", "198 1.178128e-20 20779.0 5.087140e+03 -4.673789e-10 -2.358762e-21 \n", "199 6.088592e-34 20804.0 2.629445e-10 -4.731610e-10 -2.217703e-21 \n", "\n", " E_exchange max_spin_ang_exchange stage_max_spin_ang_exchange \\\n", "0 0.0 0.0 0.0 \n", "1 0.0 0.0 0.0 \n", "2 0.0 0.0 0.0 \n", "3 0.0 0.0 0.0 \n", "4 0.0 0.0 0.0 \n", ".. ... ... ... \n", "195 0.0 0.0 0.0 \n", "196 0.0 0.0 0.0 \n", "197 0.0 0.0 0.0 \n", "198 0.0 0.0 0.0 \n", "199 0.0 0.0 0.0 \n", "\n", " run_max_spin_ang_exchange E_zeeman ... By_zeeman Bz_zeeman \\\n", "0 0.0 -1.297563e-20 ... 3.931627e+02 5.897440e+02 \n", "1 0.0 -2.562001e-20 ... 7.766444e+02 1.164967e+03 \n", "2 0.0 -3.759093e-20 ... 1.141003e+03 1.711504e+03 \n", "3 0.0 -4.863542e-20 ... 1.477265e+03 2.215898e+03 \n", "4 0.0 -5.848036e-20 ... 1.777153e+03 2.665730e+03 \n", ".. ... ... ... ... ... \n", "195 0.0 4.436379e-20 ... -1.477265e+03 -2.215898e+03 \n", "196 0.0 3.422674e-20 ... -1.141003e+03 -1.711504e+03 \n", "197 0.0 2.328011e-20 ... -7.766444e+02 -1.164967e+03 \n", "198 0.0 1.178128e-20 ... -3.931627e+02 -5.897440e+02 \n", "199 0.0 6.088592e-34 ... -2.032019e-11 -3.048028e-11 \n", "\n", " iteration stage_iteration stage mx my mz \\\n", "0 3.0 3.0 0.0 0.758989 0.183653 0.624666 \n", "1 9.0 5.0 1.0 0.090633 -0.038564 0.995137 \n", "2 17.0 7.0 2.0 0.784284 0.261449 0.562622 \n", "3 30.0 12.0 3.0 0.015202 -0.010857 0.999825 \n", "4 48.0 17.0 4.0 0.497085 -0.051994 0.866143 \n", ".. ... ... ... ... ... ... \n", "195 3450.0 15.0 195.0 -0.020176 -0.114665 0.993199 \n", "196 3463.0 12.0 196.0 0.848044 0.209072 0.486939 \n", "197 3473.0 9.0 197.0 0.063640 -0.149399 0.986727 \n", "198 3480.0 6.0 198.0 0.822805 0.116178 0.556322 \n", "199 3485.0 4.0 199.0 -0.041748 -0.107200 0.993361 \n", "\n", " last_time_step t \n", "0 3.515634e-12 2.500000e-11 \n", "1 2.425770e-12 5.000000e-11 \n", "2 2.631440e-12 7.500000e-11 \n", "3 1.449728e-12 1.000000e-10 \n", "4 7.913664e-13 1.250000e-10 \n", ".. ... ... \n", "195 5.918021e-13 4.900000e-09 \n", "196 1.197700e-12 4.925000e-09 \n", "197 2.412896e-12 4.950000e-09 \n", "198 5.059389e-12 4.975000e-09 \n", "199 4.687671e-12 5.000000e-09 \n", "\n", "[200 rows x 22 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.table.data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.table.mpl(y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can define a cardinal sine wave (\"sinc pulse\"). We need to pass:\n", "\n", "- Field `H` which is multiplied by time-dependent function at each time step,\n", "- wave shape `wave='sinc'`\n", "- cut-off frequency `f`, and\n", "- time shift `t0`.\n", "\n", "Accordingly, the time-dependent Zeeman field is then:\n", "\n", "$$\\mathbf{H}(t) = \\mathbf{H}_\\text{amp}\\text{sinc}(2\\pi f_{c} (t-t_{0})) = \\mathbf{H}_\\text{amp}\\frac{\\text{sinc}(2\\pi f_{c} (t-t_{0}))}{2\\pi f_{c} (t-t_{0})}$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:03]... (1.3 s)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = mm.System(name=\"time_dependent_field\")\n", "\n", "system.energy = mm.Exchange(A=1.6e-11) + mm.Zeeman(\n", " H=(1e6, 2e6, 3e6), func=\"sinc\", f=1e9, t0=5e-9\n", ")\n", "system.dynamics = mm.Precession(gamma0=mm.consts.gamma0) + mm.Damping(alpha=1e-5)\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=1.1e6)\n", "\n", "td = mc.TimeDriver()\n", "td.drive(system, t=10e-9, n=200)\n", "\n", "system.table.mpl(y=[\"Bx_zeeman\", \"By_zeeman\", \"Bz_zeeman\"])" ] } ], "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": { "36b1143ad2074b2f94146d6acb72c07d": { "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "PlotModel", "state": { "_backend_version": "2.11.0", "_dom_classes": [], "_view_count": null, "antialias": 3, "auto_rendering": true, "axes": [ "x\\,\\text{(nm)}", "y\\,\\text{(nm)}", "z\\,\\text{(nm)}" ], "axes_helper": 1, "background_color": 16777215, "camera": [ 16.707952970489703, -24.636929447073253, 2.175795296471578, -0.04999999422580004, 0.5, 0.5, 0, 0, 1 ], "camera_animation": [], "camera_auto_fit": true, "camera_damping_factor": 0, "camera_fov": 60, "camera_mode": "trackball", "camera_no_pan": false, "camera_no_rotate": false, "camera_no_zoom": false, "camera_pan_speed": 0.3, "camera_rotate_speed": 1, "camera_zoom_speed": 1.2, "clipping_planes": [], "colorbar_object_id": -1, "colorbar_scientific": false, "fps": 25, "fps_meter": false, "grid": [ -1, -1, -1, 1, 1, 1 ], "grid_auto_fit": true, "grid_color": 15132390, "grid_visible": true, "height": 512, "label_color": 4473924, "layout": "IPY_MODEL_4ce1ae59488e4b64aff1f0a5debc2faf", "lighting": 1.5, "manipulate_mode": "translate", "menu_visibility": true, "mode": "view", "name": null, "object_ids": [ 140707767223248 ], "rendering_steps": 1, "screenshot": "", "screenshot_scale": 2, "snapshot": "", "snapshot_type": "full", "time": 0, "voxel_paint_color": 0 } }, "4ce1ae59488e4b64aff1f0a5debc2faf": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "93248f08beec4e7dadcb7a2e48c18a7d": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_f02a47e9c03d4ce3a9cf748a8119faae", "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "36b1143ad2074b2f94146d6acb72c07d", "version_major": 2, "version_minor": 0 }, "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…" }, "metadata": {}, "output_type": "display_data" } ] } }, "c21454fd193f432e84e0d720cbe04cf7": { "buffers": [ { "data": "sHJMAFKE3QA=", "encoding": "base64", "path": [ "color_map", "data" ] }, { "data": "AACgQQAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAD8AAAAAAAAAAAAAgD8AAAA/AAAAAAAAAAAAAAAAAACAPw==", "encoding": "base64", "path": [ "model_matrix", "data" ] }, { "data": "AQEBAQEBAQEBAQEBAQEBAQEBAQI=", "encoding": "base64", "path": [ "voxels", "data" ] } ], "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "ObjectModel", "state": { "_view_count": null, "_view_module": null, "_view_module_version": "", "_view_name": null, "colorLegend": false, "color_map": { "data": {}, "dtype": "uint32", "shape": [ 2 ] }, "compression_level": 0, "id": 140707767223248, "model_matrix": { "data": {}, "dtype": "float32", "shape": [ 4, 4 ] }, "name": "Voxels #1", "opacity": 1, "outlines": false, "outlines_color": 0, "type": "Voxels", "visible": true, "voxels": { "data": {}, "dtype": "uint8", "shape": [ 1, 1, 20 ] }, "wireframe": false } }, "f02a47e9c03d4ce3a9cf748a8119faae": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }