{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Vector Rayleigh-Sommerfeld method (VRS)\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:43.664983Z", "start_time": "2021-05-16T02:36:42.715329Z" } }, "outputs": [], "source": [ "from diffractio import np\n", "from diffractio import um\n", "\n", "from diffractio.vector_sources_XY import Vector_source_XY\n", "from diffractio.scalar_masks_XY import Scalar_mask_XY\n", "from diffractio.scalar_sources_XY import Scalar_source_XY" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Radial polarized Gaussian beam through a circular aperture\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:45.199182Z", "start_time": "2021-05-16T02:36:45.179882Z" } }, "outputs": [], "source": [ "size = 6.4 * um\n", "x0 = np.linspace(-size, size, 512)\n", "y0 = np.linspace(-size, size, 512)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:45.218892Z", "start_time": "2021-05-16T02:36:45.201264Z" } }, "outputs": [], "source": [ "wavelength = 0.640 * um\n", "\n", "radius = 10 * wavelength / 2\n", "z_obs = 10 * um\n", "beam_width = 6 * um / (2 * np.sqrt(2))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:45.280773Z", "start_time": "2021-05-16T02:36:45.220972Z" } }, "outputs": [], "source": [ "u0 = Scalar_source_XY(x0, y0, wavelength)\n", "u0.gauss_beam(A=1, r0=(0 * um, 0 * um), z0=0, w0=beam_width)\n", "\n", "t0 = Scalar_mask_XY(x0, y0, wavelength)\n", "t0.circle(r0=(0 * um, 0 * um), radius=radius)\n", "\n", "t = u0 * t0" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:45.345276Z", "start_time": "2021-05-16T02:36:45.283125Z" } }, "outputs": [], "source": [ "E0 = Vector_source_XY(x0, y0, wavelength)\n", "E0.radial_wave(u=t, r0=(0 * um, 0 * um))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:46.308931Z", "start_time": "2021-05-16T02:36:45.347434Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E1 = E0.VRS(z=z_obs, n=1, new_field=True)\n", "E1.draw(\"intensities\", logarithm=1e2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Focusing with a lens a beam with a high $E_z$ component\n", "In Figures 4 and 5 a planar lens formed by rings is developed in order to obtain a high $E_z$ component. The data of the radii are shown in Table 1." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:47.095496Z", "start_time": "2021-05-16T02:36:47.077773Z" } }, "outputs": [], "source": [ "size = 30 * um\n", "x0 = np.linspace(-size, size, 1024)\n", "y0 = np.linspace(-size, size, 1024)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:47.114941Z", "start_time": "2021-05-16T02:36:47.097528Z" } }, "outputs": [], "source": [ "wavelength = 0.6328 * um\n", "focal = 10 * um" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:49.161178Z", "start_time": "2021-05-16T02:36:47.144109Z" } }, "outputs": [], "source": [ "u0 = Scalar_source_XY(x0, y0, wavelength)\n", "u0.plane_wave(A=1)\n", "\n", "t0 = Scalar_mask_XY(x0, y0, wavelength)\n", "t0.lens(r0=(0 * um, 0 * um), focal=focal, radius=20 * um)\n", "\n", "t1 = u0 * t0" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:49.618377Z", "start_time": "2021-05-16T02:36:49.450078Z" } }, "outputs": [], "source": [ "E0 = Vector_source_XY(x0, y0, wavelength)\n", "E0.radial_wave(u=t1, r0=(0 * um, 0 * um))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-05-16T02:36:57.356964Z", "start_time": "2021-05-16T02:36:49.621308Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.95 s, sys: 193 ms, total: 2.14 s\n", "Wall time: 2.14 s\n" ] } ], "source": [ "%%time\n", "E1=E0.VRS(z=z_obs, n=1, new_field=True)\n", "E1.cut_resample([-3, 3], [-3, 3], num_points=[512, 512])\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "E1.draw(\"intensities\", logarithm=1e-2)" ] } ], "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": "3.12.3" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }