{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dammann gratings\n", "\n", "We check how Dammann gratings work, which are diffraction grating with uniform efficiencies in a number of diffraction orders.\n", "\n", "The definition of the grating can be seen in: Bin Wu, Jiehu Kang, Wenqiang Han State \"Design of Dammann grating based on the parallel recombination simulated annealing algorithm\" Optik 124 (2013) 2928– 2931\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from diffractio import np, sp, plt\n", "from diffractio import um, mm, nm, degrees\n", "\n", "from diffractio.scalar_masks_X import Scalar_mask_X\n", "from diffractio.scalar_fields_XZ import Scalar_field_XZ\n", "from diffractio.scalar_masks_XY import Scalar_mask_XY" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## X Scheme" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**One period**\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "\n", "period_size=40*um\n", "x0=np.linspace(-period_size/2, period_size/2,128)\n", "wavelength=0.6328*um\n", "\n", "x_transitions = np.array([\n", " 0, 0.201181, 0.250978, 0.326167, 0.370555, 0.372996, 0.396478, 0.453128,\n", " 0.594731, 0.670591, 0.717718, 0.890632, 0.919921, 0.935546\n", "])\n", "\n", "x_transitions = (x_transitions - 0.5) * period_size\n", "\n", "period = Scalar_mask_X(x=x0, wavelength=wavelength)\n", "period.binary_code_positions(x_transitions=x_transitions,\n", " start='down',\n", " has_draw=False)\n", "period.u = np.exp(1j * np.pi * period.u)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**N periods**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_dammann = period.repeat_structure(\n", " num_repetitions=10,\n", " position='center',\n", " new_field=True)\n", "t_dammann.draw('phase')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Propagation at far field**" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "focal = 1*mm\n", "lens=Scalar_mask_X(x=t_dammann.x, wavelength=wavelength)\n", "lens.lens(x0=0, focal=focal, radius=1*mm);" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Good result: factor 5.12\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "u_foco=t_dammann*lens\n", "u_foco.RS(z=focal, new_field=False)\n", "u_foco.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Around focal position**" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "z0=np.linspace(focal-150*um,focal+150*um,512)\n", "u_prop = Scalar_field_XZ(x=t_dammann.x,z=z0, wavelength=wavelength)\n", "u_prop.incident_field(t_dammann*lens)\n", "\n", "u_prop.RS()\n", "u_prop.draw(kind='intensity', colorbar_kind='vertical', logarithm=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## XY Scheme" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Vertical grating**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dammann_xy = Scalar_mask_XY(x=t_dammann.x, y=t_dammann.x, wavelength=wavelength)\n", "dammann_xy.extrude_mask_x(t_dammann)\n", "dammann_xy.draw('phase')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Horizontal grating**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dammann_xy2 = Scalar_mask_XY(x=t_dammann.x, y=t_dammann.x, wavelength=wavelength)\n", "dammann_xy2.extrude_mask_x(t_dammann)\n", "dammann_xy2.rotate(angle=90*degrees)\n", "dammann_xy2.draw('phase')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Composed XY grating**" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dammann_xy_total = dammann_xy * dammann_xy2\n", "dammann_xy_total.draw('phase')\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "focal=0.75*mm\n", "lens_2D = dammann_xy.duplicate(clear=True)\n", "lens_2D.lens(r0=(0*um, 0*um), radius=200*um, focal=focal, angle=0.0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Good result: factor 4.04\r" ] }, { "data": { "image/png": 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", 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