Wavefront sensorless adaptive optics based on the trust region method

Qingyun Yang; Jinyu Zhao; Minghao Wang; Jianlu Jia

doi:10.1364/OL.40.001235

Optics Letters
Vol. 40,
Issue 7,
pp. 1235-1237
(2015)
•https://doi.org/10.1364/OL.40.001235

Wavefront sensorless adaptive optics based on the trust region method

Qingyun Yang, Jinyu Zhao, Minghao Wang, and Jianlu Jia

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Qingyun Yang, Jinyu Zhao, Minghao Wang, and Jianlu Jia, "Wavefront sensorless adaptive optics based on the trust region method," Opt. Lett. 40, 1235-1237 (2015)

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Related Topics
Table of Contents Category
- Atmospheric and Oceanic Optics
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Active or adaptive optics (010.1080)
- Wave-front sensing (010.7350)

About this Article
History
- Original Manuscript: January 14, 2015
- Revised Manuscript: February 9, 2015
- Manuscript Accepted: February 17, 2015
- Published: March 18, 2015

Abstract

We present what is to the best of our knowledge the first implementation of a trust region method for derivative-free optimization (TRDF) in a wavefront sensorless (WFSless) adaptive optics (AO) system. We compare the trust region method with the simulated annealing (SA) algorithm and stochastic parallel gradient descent (SPGD) algorithm. The experimental results demonstrate that the trust region method is superior to both the SA algorithm and SPGD algorithm with respect to convergence rates. These results indicate that the trust region method is a promising approach for correcting static or slowly changing wavefront aberrations in practical applications.

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Ex.	$a_{2}$	$a_{3}$	$a_{4}$	$a_{5}$	$a_{6}$	$a_{7}$	$a_{8}$	$a_{9}$	$a_{10}$	$a_{11}$	$a_{12}$
a	0	0	0.016	0	0.035	0.074	$- 0.062$	0.011	$- 0.02$	$- 0.038$	0.016
b	0.3	0	0.41	0.2	0.14	0.046	$- 0.192$	0.016	$- 0.12$	$- 0.081$	0.156
c	$- 1.0$	0.2	0.35	0.1	0.32	0.24	$- 0.47$	0.32	$- 0.21$	$- 0.33$	0.13

rms $λ$			p-v $λ$
Ex.	Initial	TRDF	Initial	TRDF
A	0.17556	0.0354	1.6308	0.3327
B	0.97084	0.23	8.617	2.7314
C	2.0739	1.0738	18.362	15.5126

Strehl Ratio			Stable Func. Eval.
Ex.	TRDF	SA	SPGD	TRDF	SA	SPGD
a	0.8621	0.8624	0.8620	350	1100	1950
b	0.7049	0.7051	0.6959	1320	8470	59900
c	0.4941	0.5286	0.4979	4400	18670	79160

Ex.	$a_{2}$	$a_{3}$	$a_{4}$	$a_{5}$	$a_{6}$	$a_{7}$	$a_{8}$	$a_{9}$	$a_{10}$	$a_{11}$	$a_{12}$
a	0	0	0.016	0	0.035	0.074	$- 0.062$	0.011	$- 0.02$	$- 0.038$	0.016
b	0.3	0	0.41	0.2	0.14	0.046	$- 0.192$	0.016	$- 0.12$	$- 0.081$	0.156
c	$- 1.0$	0.2	0.35	0.1	0.32	0.24	$- 0.47$	0.32	$- 0.21$	$- 0.33$	0.13

rms $λ$			p-v $λ$
Ex.	Initial	TRDF	Initial	TRDF
A	0.17556	0.0354	1.6308	0.3327
B	0.97084	0.23	8.617	2.7314
C	2.0739	1.0738	18.362	15.5126

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