Methods for the characterization of deformable membrane mirrors

Martin Booth; Tony Wilson; Hong-Bo Sun; Taisuke Ota; Satoshi Kawata

doi:10.1364/AO.44.005131

Methods for the characterization of deformable membrane mirrors

Martin Booth, Tony Wilson, Hong-Bo Sun, Taisuke Ota, and Satoshi Kawata

Applied Optics
Vol. 44,
Issue 24,
pp. 5131-5139
(2005)
•https://doi.org/10.1364/AO.44.005131

Get Citation
Copy Citation Text
Martin Booth, Tony Wilson, Hong-Bo Sun, Taisuke Ota, and Satoshi Kawata, "Methods for the characterization of deformable membrane mirrors," Appl. Opt. 44, 5131-5139 (2005)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (320 KB)
Set citation alerts
Save article

Related Topics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Active or adaptive optics (010.1080)
- Wave-front sensing (010.7350)
- Fringe analysis (120.2650)
- Aberration compensation (220.1000)

About this Article
History
- Original Manuscript: June 23, 2004
- Revised Manuscript: November 27, 2004
- Manuscript Accepted: December 22, 2004
- Published: August 20, 2005

Not Accessible

Your account may give you access

Abstract

We demonstrate two methods for the characterization of deformable membrane mirrors and the training of adaptive optics systems that employ these mirrors. Neither method employs a wave-front sensor. In one case, aberrations produced by a wave-front generator are corrected by the deformable mirror by use of a rapidly converging iterative algorithm based on orthogonal deformation modes of the mirror. In the other case, a simple interferometer is used with fringe analysis and phase-unwrapping algorithms. We discuss how the choice of singular values can be used to control the pseudoinversion of the control matrix.

Full Article | PDF Article

OSA Recommended Articles

Thermomechanical characterization of a membrane deformable mirror

Kathleen A. Morse, Stuart L. McHugh, and Jeff Fixler
Appl. Opt. 47(29) 5325-5329 (2008)

Wave-front generation of Zernike polynomial modes with a micromachined membrane deformable mirror

Lijun Zhu, Pang-Chen Sun, Dirk-Uwe Bartsch, William R. Freeman, and Yeshaiahu Fainman
Appl. Opt. 38(28) 6019-6026 (1999)

Adaptive control of a micromachined continuous-membrane deformable mirror for aberration compensation

Lijun Zhu, Pang-Chen Sun, Dirk-Uwe Bartsch, William R. Freeman, and Yeshaiahu Fainman
Appl. Opt. 38(1) 168-176 (1999)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (20)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Index			Z_i(r, θ)	Aberration Term

i	n	m
1	0	0	1	Piston
2	1	1	2r cos(θ)	Tip
3	1	−1	2r sin(θ)	Tilt
4	2	0	$\sqrt{3} (2 r^{2} - 1)$	Defocus
5	2	2	$\sqrt{6} r^{2} cos (2 θ)$	Astigmatism
6	2	−2	$\sqrt{6} r^{2} sin (2 θ)$	Astigmatism
7	3	1	$2 \sqrt{2} (3 r^{3} - 2 r) cos (θ)$	Coma
8	3	−1	$2 \sqrt{2} (3 r^{3} - 2 r) sin (θ)$	Coma
9	3	3	$2 \sqrt{2} r^{3} cos (3 θ)$
10	3	−3	$2 \sqrt{2} r^{3} sin (3 θ)$
11	4	0	$\sqrt{5} (6 r^{4} - 6 r^{2} + 1)$	Spherical (1st)
12	4	2	$\sqrt{10} (4 r^{4} - 3 r^{2}) cos (2 θ)$
13	4	−2	$\sqrt{10} (4 r^{4} - 3 r^{2}) sin (2 θ)$
14	4	4	$\sqrt{10} r^{4} cos (4 θ)$
15	4	−4	$\sqrt{10} r^{4} sin (4 θ)$
16	5	1	$2 \sqrt{3} (10 r^{5} - 12 r^{3} + 3 r) cos (θ)$
17	5	−1	$2 \sqrt{3} (10 r^{5} - 12 r^{3} + 3 r) sin (θ)$
18	5	3	$2 \sqrt{3} (5 r^{5} - 4 r^{3}) cos (3 θ)$
19	5	−3	$2 \sqrt{3} (5 r^{5} - 4 r^{3}) sin (3 θ)$
20	5	5	$2 \sqrt{3} r^{5} cos (5 θ)$
21	5	−5	$2 \sqrt{3} r^{5} sin (5 θ)$
22	6	0	$\sqrt{7} (20 r^{6} - 30 r^{4} + 12 r^{2} - 1)$	Spherical (2nd)

Abstract

References

Cited By

Figures (7)

Tables (1)

Equations (20)

Metrics

Login or Create Account