{ "cells": [ { "cell_type": "markdown", "id": "8a9e960a-8825-4dbf-8379-7e6cc02a258a", "metadata": {}, "source": [ "# Dispersion relation calculation - field sweeps #\n", "\n", "This example shows how we can sweep parameters of the dispersion and plot different views on the data. In this example we will use the `SingleLayer` class based on the Kalinikos-Slavin model [[*J. Phys. C: Solid State Phys.*, **19**, 7013 (1986)]](https://doi.org/10.1088/0022-3719/19/35/014) and plot field dependency of the selected spin wave properties (e.g. mode frequencies and decay lengths) for specified set of k-vectors. The same approach can be used also with other classes available in SpinWaveToolkit.\n", "\n", "Let's start by importing necessary modules and defining material and \"experiment\" parameters:" ] }, { "cell_type": "code", "execution_count": 1, "id": "049e446f-b632-4f30-8e70-6ca3753fd9a5", "metadata": {}, "outputs": [], "source": [ "#necessary imports\n", "import SpinWaveToolkit as SWT\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "c7a4e175-e76b-46d1-a3aa-3d59519eb3ce", "metadata": {}, "outputs": [], "source": [ "# prepare arrays with k-vectors and B-field values of interest\n", "k = np.linspace(0, 10e6, 101) # k-vector values in rad/m, \n", "k[0] = 1e-5 # we use k=1e-5 instead of k=0 to avoid badly conditioned calculations at k=0\n", "B = np.linspace(0, 100e-3, 101) # define values of a field sweep in T\n", "B[0] = 1e-5 # we use B=1e-5 instead of B=0 to avoid badly conditioned calculations at B=0\n", "\n", "# Define the experiment geometry\n", "theta = np.pi/2 # (rad) for in-plane magnetization\n", "phi = np.pi/2 # (rad) for Damon-Eshbach geometry\n", "\n", "# Define material parameters\n", "# We will use built-in material parameters of NiFe in this example. Built in materials are: (NiFe, YIG, CoFeB, FeNi).\n", "mat = SWT.NiFe\n", "d = 30e-9 # (m) layer thickness\n", "bc = 1 # boundary conditions (1 - totally unpinned, 2 - totally pinned spins)" ] }, { "cell_type": "markdown", "id": "48b41e82-fd3e-4f3c-98a2-f5e938f99d32", "metadata": {}, "source": [ "### Calculate dispersions for defined values of external magnetic field ###\n", "Now we can initiate `SWT.SingleLayer` and just change the `Bext` attribute for every field value and store everything in a 2D array." ] }, { "cell_type": "code", "execution_count": 3, "id": "a0f83a65-096e-40ee-b3b9-7a124ecf0844", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# Create numpy arrays n0 and decay0 for all fields and k-vectors defined in B and kxi\n", "n0 = [] #initialize list of arrays\n", "decay0 = [] #initialize list of arrays\n", "sl = SWT.SingleLayer(B[0], mat, d, k, theta, phi, boundary_cond=bc)\n", "\n", "for index, Bext in enumerate(B):\n", " sl.Bext = Bext # set external field\n", " n0.append(sl.GetDispersion(n=0)*1e-9/(2*np.pi)) #Fundamental mode frequency in GHz\n", " decay0.append(sl.GetDecLen(n=0)*1e6) #Fundamental mode decay length in um\n", "n0 = np.array(n0) # create 2D array from list of arrays\n", "decay0 = np.array(decay0) # create 2D array from list of arrays" ] }, { "cell_type": "markdown", "id": "5313e001-4b21-457c-8020-1a7393f67aaa", "metadata": {}, "source": [ "### Plot the data #1 ###\n", "Now we can just slice our 2D arrays `n0` and `decay0` and plot whatever we want. Let's start with plotting a field dependence of the fundamental mode frequency (`n0` array) for different values of the k-vector." ] }, { "cell_type": "code", "execution_count": 4, "id": "bf1bb68e-e543-4df1-b441-6eb7e3321ae3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0:0.0| 1:0.1| 2:0.2| 3:0.3| 4:0.4| 5:0.5| 6:0.6| 7:0.7| 8:0.8| 9:0.9| 10:1.0| 11:1.1| 12:1.2| 13:1.3| 14:1.4| 15:1.5| 16:1.6| 17:1.7| 18:1.8| 19:1.9| 20:2.0| 21:2.1| 22:2.2| 23:2.3| 24:2.4| 25:2.5| 26:2.6| 27:2.7| 28:2.8| 29:2.9| 30:3.0| 31:3.1| 32:3.2| 33:3.3| 34:3.4| 35:3.5| 36:3.6| 37:3.7| 38:3.8| 39:3.9| 40:4.0| 41:4.1| 42:4.2| 43:4.3| 44:4.4| 45:4.5| 46:4.6| 47:4.7| 48:4.8| 49:4.9| 50:5.0| 51:5.1| 52:5.2| 53:5.3| 54:5.4| 55:5.5| 56:5.6| 57:5.7| 58:5.8| 59:5.9| 60:6.0| 61:6.1| 62:6.2| 63:6.3| 64:6.4| 65:6.5| 66:6.6| 67:6.7| 68:6.8| 69:6.9| 70:7.0| 71:7.1| 72:7.2| 73:7.3| 74:7.4| 75:7.5| 76:7.6| 77:7.7| 78:7.8| 79:7.9| 80:8.0| 81:8.1| 82:8.2| 83:8.3| 84:8.4| 85:8.5| 86:8.6| 87:8.7| 88:8.8| 89:8.9| 90:9.0| 91:9.1| 92:9.2| 93:9.3| 94:9.4| 95:9.5| 96:9.6| 97:9.7| 98:9.8| 99:9.9| 100:10.0\n" ] } ], "source": [ "# print what k-values we have available in k array in index:value format, separated by |\n", "print(\"| \".join(f\"{i}:{val/1e6:.1f}\" for i, val in enumerate(k)))" ] }, { "cell_type": "code", "execution_count": 5, "id": "0d046b80-5659-46f7-8e4c-d3e73058c98f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Choose which k-indices to plot (edit as you like, look at the k-values above)\n", "k_indices = [0, 10, 20, 90, 95, 100]\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "\n", "for ki in k_indices:\n", " ax.plot(B, n0[:, ki], label=f\"$k = ${k[ki]*1e-6:.1f} rad/μm\")\n", "\n", "ax.set_xlabel(r\"magnetic field $B$ (T)\")\n", "ax.set_ylabel(r\"frequency $f$ (GHz)\")\n", "ax.set_title(\"Field sweep: fundamental mode frequency for different k-vectors\")\n", "ax.grid(True, alpha=0.3)\n", "ax.legend(title=\"wavenumber\")\n", "\n", "# --- Info box ---\n", "info_text = (\n", " r\"Material: $M_s$ = {:.0f} kA/m, $A_{{ex}}$ = {:.1f} pJ/m, \"\n", " r\"$\\alpha$ = {:.1e}, $\\gamma$ = {:.2f} GHz/T\" \"\\n\"\n", " r\"Thickness: $d$ = {:.1f} nm | Angles: $\\theta$ = {:.1f}°, $\\phi$ = {:.1f}°\"\n", ").format(\n", " sl.Ms/1e3, sl.Aex*1e12, sl.alpha, sl.gamma/(2*np.pi*1e9),\n", " sl.d*1e9, np.rad2deg(sl.theta), np.rad2deg(sl.phi)\n", ")\n", "\n", "ax.text(\n", " 0.01, -0.22, info_text,\n", " transform=ax.transAxes, ha=\"left\", va=\"top\", fontsize=9\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "aabca1fe-e94f-47dd-8a3d-9a5ff1578d17", "metadata": {}, "source": [ "### Plot the data #2 ###\n", "But we can also plot dispersion (frequency vs wavenumber) for different fields. Everything is already calculated in ndarray `n0`, we just need to plot it:" ] }, { "cell_type": "code", "execution_count": 6, "id": "ac64cce6-516f-4664-8e66-79e39d4aacb8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0:0.0| 1:1.0| 2:2.0| 3:3.0| 4:4.0| 5:5.0| 6:6.0| 7:7.0| 8:8.0| 9:9.0| 10:10.0| 11:11.0| 12:12.0| 13:13.0| 14:14.0| 15:15.0| 16:16.0| 17:17.0| 18:18.0| 19:19.0| 20:20.0| 21:21.0| 22:22.0| 23:23.0| 24:24.0| 25:25.0| 26:26.0| 27:27.0| 28:28.0| 29:29.0| 30:30.0| 31:31.0| 32:32.0| 33:33.0| 34:34.0| 35:35.0| 36:36.0| 37:37.0| 38:38.0| 39:39.0| 40:40.0| 41:41.0| 42:42.0| 43:43.0| 44:44.0| 45:45.0| 46:46.0| 47:47.0| 48:48.0| 49:49.0| 50:50.0| 51:51.0| 52:52.0| 53:53.0| 54:54.0| 55:55.0| 56:56.0| 57:57.0| 58:58.0| 59:59.0| 60:60.0| 61:61.0| 62:62.0| 63:63.0| 64:64.0| 65:65.0| 66:66.0| 67:67.0| 68:68.0| 69:69.0| 70:70.0| 71:71.0| 72:72.0| 73:73.0| 74:74.0| 75:75.0| 76:76.0| 77:77.0| 78:78.0| 79:79.0| 80:80.0| 81:81.0| 82:82.0| 83:83.0| 84:84.0| 85:85.0| 86:86.0| 87:87.0| 88:88.0| 89:89.0| 90:90.0| 91:91.0| 92:92.0| 93:93.0| 94:94.0| 95:95.0| 96:96.0| 97:97.0| 98:98.0| 99:99.0| 100:100.0\n" ] } ], "source": [ "# print what B values we have available in B array in index:value format, separated by |\n", "print(\"| \".join(f\"{i}:{val*1e3:.1f}\" for i, val in enumerate(B)))" ] }, { "cell_type": "code", "execution_count": 7, "id": "8fd813a0-6527-4844-9754-aaa870fe5c0f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Choose which k-indices to plot (edit as you like, look at the B-values above)\n", "B_indices = [0, 1, 2, 90, 95, 99]\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "\n", "for Bi in B_indices:\n", " ax.plot(B, n0[Bi, :], label=f\"$B = ${B[Bi]*1e3:.1f} mT\")\n", "\n", "ax.set_xlabel(r\"wavenumber $k$ (rad/µm)\")\n", "ax.set_ylabel(r\"frequency $f$ (GHz)\")\n", "ax.set_title(\"Fundamental mode frequency for different fields\")\n", "ax.grid(True, alpha=0.3)\n", "ax.legend(title=\"mag. field\")\n", "\n", "# --- Info box ---\n", "info_text = (\n", " r\"Material: $M_s$ = {:.0f} kA/m, $A_{{ex}}$ = {:.1f} pJ/m, \"\n", " r\"$\\alpha$ = {:.1e}, $\\gamma$ = {:.2f} GHz/T\" \"\\n\"\n", " r\"Thickness: $d$ = {:.1f} nm | Angles: $\\theta$ = {:.1f}°, $\\phi$ = {:.1f}°\"\n", ").format(\n", " sl.Ms/1e3, sl.Aex*1e12, sl.alpha, sl.gamma/(2*np.pi*1e9),\n", " sl.d*1e9, np.rad2deg(sl.theta), np.rad2deg(sl.phi)\n", ")\n", "\n", "ax.text(\n", " 0.01, -0.22, info_text,\n", " transform=ax.transAxes, ha=\"left\", va=\"top\", fontsize=9\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "879a037f-59a5-4aad-aa1b-fc4ed741e635", "metadata": {}, "source": [ "### Plot the data #3 ###\n", "Because together with mode frequencies we've also calculated decay lenghts, now we can have a look at what is in `decay0` ndarray." ] }, { "cell_type": "code", "execution_count": 8, "id": "bd42caf0-8dfd-45e2-8fb6-091dfd5b9048", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0:0.00| 1:0.10| 2:0.20| 3:0.30| 4:0.40| 5:0.50| 6:0.60| 7:0.70| 8:0.80| 9:0.90| 10:1.00| 11:1.10| 12:1.20| 13:1.30| 14:1.40| 15:1.50| 16:1.60| 17:1.70| 18:1.80| 19:1.90| 20:2.00| 21:2.10| 22:2.20| 23:2.30| 24:2.40| 25:2.50| 26:2.60| 27:2.70| 28:2.80| 29:2.90| 30:3.00| 31:3.10| 32:3.20| 33:3.30| 34:3.40| 35:3.50| 36:3.60| 37:3.70| 38:3.80| 39:3.90| 40:4.00| 41:4.10| 42:4.20| 43:4.30| 44:4.40| 45:4.50| 46:4.60| 47:4.70| 48:4.80| 49:4.90| 50:5.00| 51:5.10| 52:5.20| 53:5.30| 54:5.40| 55:5.50| 56:5.60| 57:5.70| 58:5.80| 59:5.90| 60:6.00| 61:6.10| 62:6.20| 63:6.30| 64:6.40| 65:6.50| 66:6.60| 67:6.70| 68:6.80| 69:6.90| 70:7.00| 71:7.10| 72:7.20| 73:7.30| 74:7.40| 75:7.50| 76:7.60| 77:7.70| 78:7.80| 79:7.90| 80:8.00| 81:8.10| 82:8.20| 83:8.30| 84:8.40| 85:8.50| 86:8.60| 87:8.70| 88:8.80| 89:8.90| 90:9.00| 91:9.10| 92:9.20| 93:9.30| 94:9.40| 95:9.50| 96:9.60| 97:9.70| 98:9.80| 99:9.90| 100:10.00\n" ] } ], "source": [ "# print what k-values we have available in k array in index:value format, separated by |\n", "print(\"| \".join(f\"{i}:{val/1e6:.2f}\" for i, val in enumerate(k)))" ] }, { "cell_type": "code", "execution_count": 9, "id": "a30251dd-35a9-4fc4-a448-e4cdc9de29f2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Choose which k-indices to plot (edit as you like, look at the k-values above)\n", "k_indices = [3, 6, 10, 60, 80, 100]\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "\n", "for ki in k_indices:\n", " ax.plot(B, decay0[:, ki], label=f\"$k = ${k[ki]*1e-6:.1f} rad/μm\")\n", "\n", "ax.set_xlabel(f\"magnetic field $B$ (T)\")\n", "ax.set_ylabel(\"decay length (μm)\")\n", "ax.set_title(\"Field sweep: decay length for different k-vectors\")\n", "ax.grid(True, alpha=0.3)\n", "ax.legend(title=\"wavenumber\")\n", "\n", "# --- Info box ---\n", "info_text = (\n", " r\"Material: $M_s$ = {:.0f} kA/m, $A_{{ex}}$ = {:.1f} pJ/m, \"\n", " r\"$\\alpha$ = {:.1e}, $\\gamma$ = {:.2f} GHz/T\" \"\\n\"\n", " r\"Thickness: $d$ = {:.1f} nm | Angles: $\\theta$ = {:.1f}°, $\\phi$ = {:.1f}°\"\n", ").format(\n", " sl.Ms/1e3, sl.Aex*1e12, sl.alpha, sl.gamma/(2*np.pi*1e9),\n", " sl.d*1e9, np.rad2deg(sl.theta), np.rad2deg(sl.phi)\n", ")\n", "\n", "ax.text(\n", " 0.01, -0.22, info_text,\n", " transform=ax.transAxes, ha=\"left\", va=\"top\", fontsize=9\n", ")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }