{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": "# Lens\n" }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "import torch\n", "import matplotlib.pyplot as plt\n", "\n", "from svetlanna import elements\n", "from svetlanna import SimulationParameters\n", "from svetlanna import wavefront as w\n", "from svetlanna.units import ureg\n", "from svetlanna import LinearOpticalSetup\n", "\n", "from PIL import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating numerical mesh with using `SimulationParameters` class" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# screen size\n", "lx = 8 * ureg.mm\n", "ly = 8 * ureg.mm\n", "\n", "# focal length, mm\n", "f = 100 * ureg.mm\n", "\n", "# wavelength, mm\n", "wavelength = 1064 * ureg.nm\n", "\n", "# number of nodes\n", "Nx = 2048\n", "Ny = 2048\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", "})" ] }, { "cell_type": "code", "execution_count": 67, "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 a plane wave using `svetlanna.wavefront.plane_wave`\n", "\n", "Let's create a plane wave that will fall on the aperture:" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "# create plane wave\n", "incident_field = w.Wavefront.plane_wave(\n", " simulation_parameters=sim_params,\n", " distance=10 * ureg.cm,\n", " wave_direction=[0, 0, 1]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare image: converting to mask for the aperture\n", "\n", "In this section we convert the image `phystech_logo.png` to aperture. The shape of the aperture will match the image. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# path to the image\n", "image_path = '.\\doc\\phystech_logo.png' # Замените на путь к вашему изображению\n", "\n", "# image size\n", "N, M = 256, 256\n", "\n", "# Загрузка изображения\n", "image = Image.open(image_path)\n", "\n", "M = 256\n", "# change image size\n", "image_resized = image.resize((N, M)) # Размеры указываются как (ширина, высота)\n", "\n", "# convert image to tensor\n", "image_tensor = torch.tensor(\n", " data=list(image_resized.getdata()),\n", " dtype=torch.float64\n", ").reshape(N, M, -1)\n", "\n", "# normalize image tensor to [0, 1] range\n", "if image_tensor.dtype == torch.uint8:\n", " image_tensor = image_tensor / 255.0\n", "\n", "# use only one channel of the image (grayscale)\n", "image_tensor = image_tensor[:, :, 0]\n", "\n", "# binarize the image tensor\n", "image_tensor = image_tensor >= 10 # Применяем бинаризацию\n", "\n", "# Определяем координаты для вставки image_tensor в центр mask\n", "start_x = (Nx - M) // 2\n", "start_y = (Ny - N) // 2\n", "\n", "mask = torch.zeros((Ny, Nx), dtype=torch.float64)\n", "\n", "# put image_tensor in the center of the mask\n", "mask[start_y:start_y + N, start_x:start_x + M] = image_tensor" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "aperture = elements.Aperture(simulation_parameters=sim_params, mask=mask)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4, 3))\n", "\n", "im = ax.pcolormesh(x_grid, y_grid, aperture.get_transmission_function(), cmap='gray')\n", "ax.set_aspect('equal')\n", "ax.set_xlabel('x, m')\n", "ax.set_ylabel('y, m')\n", "ax.set_title('Transmission function of the aperture')\n", "fig.colorbar(im, ax=ax, label='Transmission function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating optical setup\n", "\n", "In this section we create optical setup using `LinearOpticalSetup` class from `svetlanna.setup`. Optical setup consists of aperture with transmission function determined by `mask` tensor and thin collecting lens. Wavefront propagation calculated by `FreeSpace` element using Angular Spectrum method." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "lens = elements.ThinLens(\n", " simulation_parameters=sim_params,\n", " focal_length=f,\n", " radius=100 * ureg.mm\n", ")\n", "\n", "free_space = elements.FreeSpace(\n", " simulation_parameters=sim_params,\n", " distance=f,\n", " method=\"AS\"\n", ")\n", "\n", "setup = LinearOpticalSetup([aperture, free_space, lens, free_space])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating the wavefront in the back focal plane of the thin lens\n", "\n", "As is known, a thin lens performs a Fourier transform from a wavefront incident on it. Let's compare the Fourier image created by the thin lens and Fourier image created by the Fast Fourier Transform from `torch.fft.fft2`." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "output_wavefront = setup.forward(input_wavefront=incident_field)\n", "output_intensity = output_wavefront.intensity" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "fft = torch.fft.fftshift(torch.fft.fft2(mask))" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(10, 3))\n", "im0 = ax[0].pcolormesh(x_grid, y_grid, torch.sqrt(output_intensity), cmap='gray')\n", "ax[0].set_aspect('equal')\n", "ax[0].set_xlabel('x, m')\n", "ax[0].set_ylabel('y, m')\n", "\n", "ax[0].set_xlim(-lx / 10, lx / 10)\n", "ax[0].set_ylim(-ly / 10, ly / 10)\n", "ax[0].set_title('Thin lens')\n", "fig.colorbar(im0, ax=ax[0], label='Amplitude')\n", "\n", "im1 = ax[1].pcolormesh(x_grid, y_grid, torch.abs(fft), cmap='gray')\n", "ax[1].set_aspect('equal')\n", "ax[1].set_xlabel('x, m')\n", "ax[1].set_ylabel('y, m')\n", "\n", "ax[1].set_xlim(-lx / 40, lx / 40)\n", "ax[1].set_ylim(-ly / 40, ly / 40)\n", "ax[1].set_title('Fast Fourier Transform')\n", "fig.colorbar(im1, ax=ax[1], label='Amplitude')" ] } ], "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 }