File:Frounhofer02.webm
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Frounhofer02.webm (file size: 913 KB, MIME type: video/webm)
This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.
Summary
| DescriptionFrounhofer02.webm |
English: Far field diffraction patterns for a few aperture shapes. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1486354083799834628 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 12.0 code
dim = 512;
size = 30;
sinstep[t_] := Sin[\[Pi]/2 t]^2;
stopstep[t_] := t (2 - t);
split[t_] := Round[80*stopstep[t] ];
\[Theta][t_] := \[Pi]*sinstep[t];
framerate = 1/30;
plottolo[ar_] := GraphicsRow[{
ArrayPlot[ar[[1/4 dim ;; 3/4 dim, dim/4 ;; 3/4 dim]], ColorFunction -> "AvocadoColors", PlotLabel -> "Aperture", LabelStyle -> {White, Bold}, Frame -> False],
ArrayPlot[ RotateRight[ Abs[Fourier[PadRight[ar(*-Mean[Flatten@ar]*), {8 dim, 8 dim}]]]^2, {dim/2, dim/2}][[1 ;; dim, 1 ;; dim]](*[[2/8dim;;6/8dim,2/8dim;;6/8dim]]*), ColorFunction -> "AvocadoColors", PlotRange -> {0, 0.5}, ClippingStyle -> White, PlotLabel -> "Far field diffraction", LabelStyle -> {White, Bold}, Frame -> False]
}, Background -> Black]
frames1 = Table[
ar = Clip[ RotateRight[DiskMatrix[size, dim], {0, split[t]}] + RotateRight[DiskMatrix[size, dim], {0, -split[t]}], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames2 = Table[
ar = Clip[ DiskMatrix[size, dim] + RotateRight[DiskMatrix[size, dim], {0, split[t]}] + RotateRight[DiskMatrix[size, dim], {0, -split[t]}], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames3 = Table[
ar = Clip[ RotateRight[ DiskMatrix[size, dim], {Round[split[1]*Sin[\[Theta][t]]], Round[split[1]*Cos[\[Theta][t]]]}] + RotateRight[ DiskMatrix[size, dim], {-Round[split[1]*Sin[\[Theta][t]]], -Round[split[1]*Cos[\[Theta][t]]]}], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames4 = Table[
ar = Clip[ RotateRight[DiskMatrix[size, dim], {split[t], split[1]}] + RotateRight[DiskMatrix[size, dim], {-split[t], split[1]}] + RotateRight[DiskMatrix[size, dim], {split[t], -split[1]}] + RotateRight[DiskMatrix[size, dim], {-split[t], -split[1]}], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5 = Table[
ar = Clip[DiskMatrix[size + 3*size*stopstep[t], dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5bis = Table[
ar = Clip[ DiskMatrix[size + 3*size, dim] - DiskMatrix[3*size*stopstep[t], dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5tris = Table[
ar = Clip[ DiskMatrix[size + 3*size*(1 - stopstep[t]), dim] - DiskMatrix[3*size*(1 - stopstep[t]), dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5quater = Table[
trianglesize = 100*stopstep[t] + 10;
ar = Abs[ Rasterize[Graphics[Triangle[{{-1/2, -Tan[\[Pi]/6]/2}, {1/2, -Tan[\[Pi]/6]/2}, {0, Cos[\[Pi]/6]/2}}]], "Data", RasterSize -> {2*trianglesize, 2*trianglesize}][[All, All, 1]] - 255]/255;
ar = PadRight[ ArrayPad[ar, Round[(dim - Dimensions[ar][[1]])/2]], {dim, dim}];
ar = Clip[DiskMatrix[size*(1 - stopstep[t]), dim] + ar, {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5penta = Table[
trianglesize = 100*(1 - stopstep[t]) + 10;
ar = Abs[ Rasterize[ Graphics[ Triangle[{{-1/2, -Tan[\[Pi]/6]/2}, {1/2, -Tan[\[Pi]/6]/2}, {0, Cos[\[Pi]/6]/2}}]], "Data", RasterSize -> {2*trianglesize, 2*trianglesize}][[All, All, 1]] - 255]/255;
ar = PadRight[ ArrayPad[ar, Round[(dim - Dimensions[ar][[1]])/2]], {dim, dim}];
ar = Clip[BoxMatrix[size*3*(stopstep[t]), dim] + ar, {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames5esa = Table[
ar = Clip[ BoxMatrix[size/2 + size*2.5*(1 - stopstep[t]), dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames6 = Table[
ar = Clip[ BoxMatrix[{size/2, size/2 + Round[(100 - size/2)*sinstep[t]]}, dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames7 = Table[
ar = Clip[ BoxMatrix[{size/2, 100}, dim] + BoxMatrix[{size/2 + Round[(100 - size/2)*sinstep[t]], size/2}, dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames8 = Table[
ar = Clip[ RotateRight[ BoxMatrix[{size/2, 100}, dim], {-Round[(100 - size/2)*sinstep[t] ], 0}] + BoxMatrix[{100, size/2}, dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames9 = Table[
ar = Clip[ RotateRight[ BoxMatrix[{size/2, 100}, dim], {-(100 - size/2), 0}] + RotateRight[BoxMatrix[{100, size/2}, dim], {0, -Round[(100 - size/2)*sinstep[t] ]}], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
frames10 = Table[
ar = Clip[ BoxMatrix[size/2*(1 - stopstep[t]), dim] + DiskMatrix[size*stopstep[t], dim], {0, 1}];
plottolo[ar]
, {t, 0, 1, framerate}];
ListAnimate[Join[
frames1, Reverse@frames1, frames2, Reverse@frames2, frames1, frames3, frames4, Reverse@frames4, Reverse@frames1, frames5, frames5bis, frames5tris, frames5quater, frames5penta, frames5esa, frames6, frames7, frames8, frames9, Reverse@frames9, Reverse@frames8, Reverse@frames7, Reverse@frames6, frames10
]]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
| This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
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26 January 2022
934,415 byte
49.6 second
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video/webm
92f04ec4b6a6faec0063f48198cbc30b274c991d
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 10:48, 27 January 2022 | (913 KB) | wikimediacommons>Berto | Imported media from uploads:f201658a-7f54-11ec-be16-56dbdb266599 |
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Retrieved from "https://en.wiki.beta.math.wmflabs.org/wiki/File:Frounhofer02.webm"