{ "cells": [ { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import torch\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from svetlanna import elements\n", "from svetlanna import SimulationParameters\n", "from svetlanna.units import ureg\n", "from svetlanna import wavefront as w" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussain Beam propagation\n", "\n", "In this example we will use `svetlanna.wavefront` functional to create some wavefronts.\n", "\n", "Firstly, it's necessary to create the numerical mesh using `SimulationParameters` class. You must define your screen size $l_x\\times l_y$, number of nodes $N_x\\times N_y$ along axis and wavefront's wavelength(group of wavelengths). \n", "\n", "Secondly, you can use `svetlanna.Wavefront.` functional to create required wavefront. Available types: Gaussian beam, planar wave and spherical wave. Moreover, it's possible to pass arbitrary `torch.Tensor` object that describes your specific wavefront to `svetlanna.Wavefront()`. \n", "\n", "**Remark:** you can create `torch.tensor([wavelength1, wavelength2, ..., wavelengthN])` object and pass it to `SimulationParameters` if it's necessary to propagate several wavefronts with different wavelengths." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating numerical mesh with using `SimulationParameters` class" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "Nx = 1500 # number of nodes in x direction\n", "Ny = 1500 # number of nodes in y direction\n", "\n", "lx = 16 * ureg.mm # size of the grid in x direction\n", "ly = 16 * ureg.mm # size of the grid in y direction\n", "\n", "wavelength = torch.tensor([330, 1064]) * ureg.nm # wavelength of the light\n", "\n", "# creating SimulationParameters exemplar\n", "sim_params = SimulationParameters({\n", " 'W': torch.linspace(-lx / 2, lx / 2, Nx),\n", " 'H': torch.linspace(-ly / 2, ly / 2, Ny),\n", " 'wavelength': wavelength,\n", "})\n" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "# return 2d-tensors of x and y coordinates\n", "x_grid, y_grid = sim_params.meshgrid(x_axis='W', y_axis='H')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating preloaded beams\n", "\n", "Let's create two Gaussian beams with wavelengths defined above. Both of beams will propagate along distance $z$" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "w0 = 2 * ureg.mm # waist radius of the Gaussian Beam\n", "z = 2 * ureg.cm # propagation distance\n", "\n", "# return svetlanna.Wavefront class exemplar\n", "output_field = w.Wavefront.gaussian_beam(\n", " simulation_parameters=sim_params,\n", " waist_radius=w0,\n", " distance=z\n", ")\n", "\n", "# .intensity property of svetlanna.Wavefront class exemplar\n", "# returns 2d-tensor which describes intensity profile of the wavefront\n", "output_intensity = output_field.intensity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize intensity profiles:" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 101, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n", "beam1 = ax[0].pcolormesh(x_grid.numpy(force=True), y_grid.numpy(force=True), output_intensity[0].numpy(force=True), cmap='hot')\n", "beam2 = ax[1].pcolormesh(x_grid.numpy(force=True), y_grid.numpy(force=True), output_intensity[1].numpy(force=True), cmap='hot')\n", "\n", "ax[0].set_title('330 nm')\n", "ax[1].set_title('1064 nm')\n", "\n", "ax[0].set_aspect('equal')\n", "ax[1].set_aspect('equal')\n", "\n", "ax[0].set_xlabel('x, [mm]')\n", "ax[0].set_ylabel('y, [mm]')\n", "ax[1].set_xlabel('x, [mm]')\n", "ax[1].set_ylabel('y, [mm]')\n", "fig.colorbar(beam1, ax=ax[0], label='Intensity')\n", "fig.colorbar(beam2, ax=ax[1], label='Intensity')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arbitrary wavefront propagation\n", "\n", "You can use `svetlanna.elements.FreeSpace` class to propagate arbitrary wavefront using Angular Spectrum method or Fresnel method. It's necessary to define:\n", "\n", "1. Propagation distance\n", "2. Method\n", "3. Input wavefront into `.forward(incident_wavefront=)` method for `FreeSpace` class\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's propagate our beams using Angular Spectrum method on distance $z_0$:" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [], "source": [ "z0 = 100 * ureg.cm # propagation distance\n", "\n", "free_space = elements.FreeSpace(\n", " simulation_parameters=sim_params,\n", " distance=z0,\n", " method=\"AS\"\n", ")\n", "\n", "# .forward() return svetlanna.Wavefront class exemplar\n", "free_space_output = free_space.forward(incident_wavefront=output_field)\n", "\n", "free_space_output_intensity = free_space_output.intensity" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n", "beam1 = ax[0].pcolormesh(x_grid.numpy(force=True), y_grid.numpy(force=True), free_space_output_intensity[0].numpy(force=True), cmap='rainbow')\n", "beam2 = ax[1].pcolormesh(x_grid.numpy(force=True), y_grid.numpy(force=True), free_space_output_intensity[1].numpy(force=True), cmap='rainbow')\n", "\n", "ax[0].set_title('330 nm wavefront \\n after using FreeSpace element')\n", "ax[1].set_title('1064 nm wavefront \\n after using FreeSpace element')\n", "\n", "ax[0].set_aspect('equal')\n", "ax[1].set_aspect('equal')\n", "\n", "ax[0].set_xlabel('x, [mm]')\n", "ax[0].set_ylabel('y, [mm]')\n", "ax[1].set_xlabel('x, [mm]')\n", "ax[1].set_ylabel('y, [mm]')\n", "fig.colorbar(beam1, ax=ax[0], label='Intensity')\n", "fig.colorbar(beam2, ax=ax[1], label='Intensity')" ] } ], "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }