File:Adaptive optics.gif
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Summary
| Description |
English: If your image suffers from time-varying distortions (e.g. due to the atmosphere fluctuations when you do ground-based astronomy) you can use a wavefront sensor to measure them on a spot you know the shape of ("guide star"), and then correct for them using a deformable mirror. |
| Date | |
| Source | https://twitter.com/j_bertolotti/status/1144525775242182658 |
| Author | Jacopo Bertolotti |
| Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
ghost3=(*Import or create a square image to use*)
dim = Dimensions[ghost3][[1]]
zpoly[x_, y_, n_, m_] := -Which[m >= 0, ZernikeR[n, m, Sqrt[x^2 + y^2]]*Cos[m ArcTan[x, y]], m < 0, ZernikeR[n, -m, Sqrt[x^2 + y^2]]*Sin[-m ArcTan[x, y]] ];
Z = Table[
N@Table[
If[x == y == 0, 0, zpoly[x, y, n, m]], {x, -1, 1, 2/(dim - 1)}, {y, -1, 1, 2/(dim - 1)}], {n, 0, 3}, {m, -n, n, 2}];
Z = Flatten[Z, 1];
ClearAll[fpsf]
fpsf[t_] :=
Table[RandomReal[{-1, 1}] Sin[RandomReal[{0, 1}] t + RandomReal[{0, 2 \[Pi]}] ], {10}];
p1 = Table[
psfcoeff = fpsf[t];
psf = psfcoeff.Z;
psfcoefferr = RandomReal[{-0.1, 0.1}, 10];
GraphicsRow[{ArrayPlot[Abs[Fourier[RotateRight[InverseFourier[ghost3], {128/2, 128/2}] *(Exp /@ (I 20*psf))] ], PlotRange -> All, PlotLabel -> "Distorted image"]
,
MatrixPlot[psf, PlotRange -> All, Frame -> False, PlotLabel -> "Measured distortion"]
,
ArrayPlot[Abs[Fourier[RotateRight[InverseFourier[ghost3], {128/2, 128/2}] *(Exp /@ (I 20*(psfcoefferr.Z) ))] ], PlotRange -> All, PlotLabel -> "Recovered image"]
}, ImageSize -> Large]
, {t, 0, 1, 0.01}];
ListAnimate[p1]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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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.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:37, 28 June 2019 | | 576 × 198 (2.6 MB) | Berto | User created page with UploadWizard |
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