OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 6 — Jun. 1, 2005
  • pp: 1093–1105

Mach–Zehnder interferometer for piston and tip–tilt sensing in segmented telescopes: theory and analytical treatment

Natalia Yaitskova, Kjetil Dohlen, Philippe Dierickx, and Luzma Montoya  »View Author Affiliations


JOSA A, Vol. 22, Issue 6, pp. 1093-1105 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001093


View Full Text Article

Enhanced HTML    Acrobat PDF (363 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A study is presented of a Mach–Zehnder interferometer for the measurement of phasing errors of the type found in segmented telescopes. We show that with a pinhole much larger than the Airy disk and an optical path difference between the arms equal to a quarter of the wavelength, the interferometric signal is related to the second derivative of the wave front. In this condition the signal is produced mostly by the segmentation errors and is marginally sensitive to other aberrations including atmospheric turbulence. The signal has distinguishable symmetric and antisymmetric properties that are related to segment aberrations. We suggest using the antisymmetric component of the signal to retrieve piston, tip, and tilt. The symmetric component of the signal serves as an estimate of the measurement error. In this way we proceed with a study of the errors associated with the misalignment of the interferometer, the segment edge imperfections, and the nonaveraged atmospheric perturbations. The entire study is performed on a theoretical basis, and numerical simulations are used to cross check the analytical results.

© 2005 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.6110) Fourier optics and signal processing : Spatial filtering
(110.6770) Imaging systems : Telescopes

History
Original Manuscript: July 28, 2004
Revised Manuscript: December 6, 2004
Manuscript Accepted: December 8, 2004
Published: June 1, 2005

Citation
Natalia Yaitskova, Kjetil Dohlen, Philippe Dierickx, and Luzma Montoya, "Mach–Zehnder interferometer for piston and tip–tilt sensing in segmented telescopes: theory and analytical treatment," J. Opt. Soc. Am. A 22, 1093-1105 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-6-1093

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited