{ "cells": [ { "cell_type": "code", "execution_count": 31, "id": "b1a945eb", "metadata": {}, "outputs": [], "source": [ "import torch\n", "from svetlanna import elements\n", "from svetlanna import SimulationParameters\n", "from svetlanna import Parameter\n", "import matplotlib.pyplot as plt\n", "from svetlanna import wavefront as w\n", "from svetlanna.units import ureg" ] }, { "cell_type": "markdown", "id": "25e7ee81", "metadata": {}, "source": [ "# Use of SLM\n", "\n", "Spatial Light Modulator(SLM) allows to control the phase distribution of the incident wavefront. For the aim to define the SLM element, it's necessary to pass the size of the modulator's aperture $height~\\times~width$, mask with the required resolution. \n", "\n", "In this example we will create numerical twin of the modulator [PLUTO-2.1 LCOS Spatial Light Modulator](https://holoeye.com/products/spatial-light-modulators/pluto-2-1-lcos-phase-only-refl/)." ] }, { "cell_type": "markdown", "id": "667881f4", "metadata": {}, "source": [ "## Creating numerical mesh with using `SimulationParameters` class" ] }, { "cell_type": "code", "execution_count": 54, "id": "92fd3acb", "metadata": {}, "outputs": [], "source": [ "wavelength = 1064 * ureg.nm # wavelength, mm\n", "lx = 60 * ureg.mm # screen size along x-axis, mm\n", "ly = 60 * ureg.mm # screen size along y-axis, mm\n", "\n", "Nx = 1200 # number of nodes along x-axis\n", "Ny = 1100 # number of nodes along y-axis\n", "\n", "x_length = torch.linspace(-lx / 2, lx / 2, Nx)\n", "y_length = torch.linspace(-ly / 2, ly / 2, Ny)\n", "\n", "# define simulation parameters\n", "params = SimulationParameters(\n", " axes={\n", " 'W': x_length,\n", " 'H': y_length,\n", " 'wavelength': wavelength\n", " }\n", ")" ] }, { "cell_type": "code", "execution_count": 55, "id": "b2257e95", "metadata": {}, "outputs": [], "source": [ "# return 2d-tensors of x and y coordinates\n", "x_grid, y_grid = params.meshgrid(x_axis='W', y_axis='H')" ] }, { "cell_type": "markdown", "id": "d138c8df", "metadata": {}, "source": [ "## Creating a Gaussian beam using `svetlanna.wavefront.gaussian_beam`\n", "\n", "Let's create a Gaussian beam that will fall on the nonlinear element:" ] }, { "cell_type": "code", "execution_count": 56, "id": "56cf117d", "metadata": {}, "outputs": [], "source": [ "incident_wavefront = w.Wavefront.gaussian_beam(\n", " simulation_parameters=params,\n", " waist_radius=1 * ureg.mm,\n", " distance=2 * ureg.mm\n", ")\n", "\n", "phase_before_slm = incident_wavefront.phase" ] }, { "cell_type": "markdown", "id": "7c4bc5aa", "metadata": {}, "source": [ "## Creating nonlinear element using `svetlanna.elements.SpatialLightModulator`\n", "\n", "In this section we will create a slm with determined mask. Mask's resolution and size of the numerical mesh may not match" ] }, { "cell_type": "code", "execution_count": 57, "id": "f9178d55", "metadata": {}, "outputs": [], "source": [ "slm_height = 8 * ureg.mm\n", "slm_width = 15 * ureg.mm\n", "\n", "mask = 2 * torch.pi * torch.rand(1080, 1920)" ] }, { "cell_type": "code", "execution_count": 58, "id": "d86aad05", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\gunne\\projects\\python\\dnn\\SVETlANNa.docs\\.venv\\Lib\\site-packages\\svetlanna\\elements\\slm.py:127: UserWarning: New mask size torch.Size([146, 300]) is smaller than the original one torch.Size([1080, 1920])! \n", " warnings.warn(f\"New mask size {resized_mask.size()} is smaller than the original one {self.mask.size()}! \")\n" ] } ], "source": [ "slm = elements.SpatialLightModulator(\n", " simulation_parameters=params,\n", " mask=mask,\n", " height=slm_height,\n", " width=slm_width\n", ")\n", "\n", "slm_aperture = slm.get_aperture\n", "\n", "slm_transmission_function = slm.transmission_function" ] }, { "cell_type": "code", "execution_count": 59, "id": "37db01e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(\n", " 1, 2, figsize=(12, 4), edgecolor='black', linewidth=3, frameon=True\n", ")\n", "\n", "im1 = ax[0].pcolormesh(x_grid, y_grid, slm_aperture, cmap='inferno')\n", "ax[0].set_aspect('equal')\n", "ax[0].set_title(r'Transmission function of the SLM aperture')\n", "ax[0].set_xlabel('$x$ [m]')\n", "ax[0].set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, ax=ax[0])\n", "\n", "im2 = ax[1].pcolormesh(x_grid, y_grid, torch.real(torch.log(slm_transmission_function)/1j), cmap='inferno')\n", "ax[1].set_aspect('equal')\n", "ax[1].set_title('SLM phase distribution')\n", "ax[1].set_xlabel('$x$ [m]')\n", "ax[1].set_ylabel('$y$ [m]')\n", "fig.colorbar(im2, ax=ax[1])\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 60, "id": "b03f7eee", "metadata": {}, "outputs": [], "source": [ "field_after_slm = slm.forward(incident_wavefront=incident_wavefront)\n", "\n", "phase_after_slm = field_after_slm.phase" ] }, { "cell_type": "code", "execution_count": 61, "id": "e5fa1a0d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(\n", " 1, 2, figsize=(12, 4), edgecolor='black', linewidth=3, frameon=True\n", ")\n", "\n", "im1 = ax[0].pcolormesh(x_grid, y_grid, phase_after_slm, cmap='inferno')\n", "ax[0].set_aspect('equal')\n", "ax[0].set_title(\"Beam's phase distribution after propagating \\n through the SLM\")\n", "ax[0].set_xlabel('$x$ [m]')\n", "ax[0].set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, ax=ax[0])\n", "\n", "im2 = ax[1].pcolormesh(x_grid, y_grid, phase_before_slm, cmap='inferno')\n", "ax[1].set_aspect('equal')\n", "ax[1].set_title(\"Beam's phase distribution before propagating \\n through the SLM\")\n", "ax[1].set_xlabel('$x$ [m]')\n", "ax[1].set_ylabel('$y$ [m]')\n", "fig.colorbar(im2, ax=ax[1])\n", "\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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 5 }