{ "cells": [ { "cell_type": "code", "execution_count": 1, "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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Diffraction on the apertures\n", "\n", "We will calculate the diffraction of the plane wave on the different apertures using classes from `svetlanna.elements`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating numerical mesh with using `SimulationParameters` class" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# screen size\n", "lx = 8 * ureg.mm\n", "ly = 8 * ureg.mm\n", "\n", "# distance between the screen and the aperture, mm\n", "z = 220 * ureg.mm\n", "\n", "# wavelength, mm\n", "wavelength = 1064 * ureg.nm\n", "\n", "# number of nodes\n", "Nx = 1024\n", "Ny = 1024\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": 15, "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": 16, "metadata": {}, "outputs": [], "source": [ "# create plane wave\n", "incident_field = w.Wavefront.plane_wave(\n", " simulation_parameters=sim_params,\n", " distance=0 * ureg.cm,\n", " wave_direction=[0, 0, 1]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating round aperture using `svetlanna.elements.RoundAperture` " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "radius = 1 * ureg.mm\n", "\n", "round_aperture = elements.RoundAperture(\n", " simulation_parameters=sim_params,\n", " radius=radius,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see the shape of the aperture using `.get_transmission_function()` class method:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "aperture_transmission_function = round_aperture.get_transmission_function()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "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=(6, 3), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "im1 = ax.pcolormesh(x_grid, y_grid, aperture_transmission_function, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Square aperture shape')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='Transmission function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intensity profile on the screen after propagation through the round aperture\n", "\n", "In this section we will solve the direct problem of diffraction on a round aperture using Angular Spectrum method from `FreeSpace` class" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "field_after_aperture = round_aperture.forward(\n", " incident_wavefront=incident_field\n", ")\n", "\n", "free_space = elements.FreeSpace(\n", " simulation_parameters=sim_params,\n", " distance=z,\n", " method=\"AS\"\n", ")\n", "\n", "output_wavefront = free_space.forward(\n", " incident_wavefront=field_after_aperture\n", ")\n", "\n", "output_intensity = output_wavefront.intensity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the intensity distribution:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "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=(6, 3), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "im1 = ax.pcolormesh(x_grid, y_grid, output_intensity, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Intensity distribution on the screen')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='Intensity')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating aperture with arbitrary shape\n", "\n", "For the instance, we will create the aperture which is similar to the soft aperture from the article [[1]](https://opg.optica.org/ao/abstract.cfm?uri=ao-59-18-5348)\n", "\n", "The shape of the aperture is determined by the expression:\n", "\n", "$$\n", "r=R + S(\\theta)=R(1 + \\dfrac{s}{2}(1 + \\sin{M\\theta})),\n", "$$\n", "\n", "where $R$ - radius of the round aperture, $M$ - number of serrations, $s$ - is the ratio of the serrated height $h$ to $r$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create the shape of the aperture:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "radius_soft = 1 * ureg.mm\n", "\n", "r = torch.sqrt(x_grid**2 + y_grid**2)\n", "M = 32\n", "\n", "s = 0.1\n", "\n", "theta = torch.atan2(y_grid, x_grid)\n", "shape = r *( 1 + s / 2 *(1 + torch.sin(M*theta)))\n", "shape = shape < 0.0015" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Creating aperture with determined shape using `Aperture` class from the `svetlanna.elements`" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "soft_aperture = elements.Aperture(simulation_parameters=sim_params, mask=shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see the shape of the soft aperture using `.get_transmission_function()` class method:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "aperture_transmission_function = soft_aperture.get_transmission_function()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "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=(6, 3), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "im1 = ax.pcolormesh(x_grid, y_grid, aperture_transmission_function, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Soft aperture shape')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, label='Transmission function')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intensity profile on the screen after propagation through the soft aperture\n", "\n", "In this section we will solve the direct problem of diffraction on a soft aperture using Angular Spectrum method from `FreeSpace` class" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "field_after_aperture = soft_aperture.forward(\n", " incident_wavefront=incident_field\n", ")\n", "\n", "free_space = elements.FreeSpace(\n", " simulation_parameters=sim_params,\n", " distance=z,\n", " method=\"AS\"\n", ")\n", "\n", "output_wavefront = free_space.forward(\n", " incident_wavefront=field_after_aperture\n", ")\n", "\n", "output_intensity = output_wavefront.intensity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the intensity distribution:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "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(figsize=(6, 3), edgecolor='black', linewidth=3,\n", " frameon=True)\n", "im1 = ax.pcolormesh(x_grid, y_grid, output_intensity, cmap='inferno')\n", "ax.set_aspect('equal')\n", "ax.set_title('Intensity distribution on the screen')\n", "ax.set_xlabel('$x$ [m]')\n", "ax.set_ylabel('$y$ [m]')\n", "fig.colorbar(im1, 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 }