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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 31 — Nov. 1, 1999
  • pp: 6642–6647

Strehl ratio and modulation transfer function for segmented mirror telescopes as functions of segment phase error

Gary Chanan and Mitchell Troy  »View Author Affiliations


Applied Optics, Vol. 38, Issue 31, pp. 6642-6647 (1999)
http://dx.doi.org/10.1364/AO.38.006642


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Abstract

We derive the Strehl ratio for a segmented mirror telescope as a function of the rms segment phase error and the observing wavelength, with and without the effects of the atmosphere. A simple analytical expression is given for the atmosphere-free case. Although our specific results are in the context of the Keck telescope, they are presented in a way that should be readily adaptable to other segmented geometries. We also derive the corresponding modulation transfer functions. These results are useful in determining how accurately a segmented mirror telescope needs to be phased for a variety of observing applications.

© 1999 Optical Society of America

OCIS Codes
(110.6770) Imaging systems : Telescopes
(350.1260) Other areas of optics : Astronomical optics
(350.5030) Other areas of optics : Phase

History
Original Manuscript: March 29, 1999
Revised Manuscript: August 3, 1999
Published: November 1, 1999

Citation
Gary Chanan and Mitchell Troy, "Strehl ratio and modulation transfer function for segmented mirror telescopes as functions of segment phase error," Appl. Opt. 38, 6642-6647 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-31-6642


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References

  1. G. A. Chanan, M. Troy, F. G. Dekens, S. Michaels, J. Nelson, T. Mast, D. Kirkman, “Phasing the mirror segments of the Keck Telescopes: the broadband phasing algorithm,” Appl. Opt. 37, 140–155 (1998). [CrossRef]
  2. D. L. Fried, “Optical resolution through a randomly inhomogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56, 1372–1384 (1966). [CrossRef]
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  4. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976). [CrossRef]
  5. G. Chanan, G. Djorgovski, A. Gleckler, S. Kulkarni, T. Mast, C. Max, J. Nelson, P. Wizinowich, “Adaptive Optics for Keck Observatory,” (W. M. Keck Observatory, Kamuela, Hawaii, Jan.1996).
  6. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  7. P. L. Wizinowich, T. S. Mast, J. E. Nelson, M. DiVittorio, G. A. Chanan, “Optical quality of the W. M. Keck Telescope,” in Advanced Technology Optical Telescopes V, L. M. Stepp, ed., Proc. SPIE2199, 94–104 (1994). [CrossRef]
  8. J. E. Nelson, P. R. Gillingham, “Overview of the performance of the W. M. Keck Observatory,” in Advanced Technology Optical Telescopes V, L. M. Stepp, ed., Proc. SPIE2199, 92–93 (1994).
  9. I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. (Academic, New York, 1980).

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