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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 2 — Feb. 1, 2003
  • pp: 218–233

Cramér–Rao sensitivity limits for astronomical instruments: implications for interferometer design

Jonas Zmuidzinas  »View Author Affiliations


JOSA A, Vol. 20, Issue 2, pp. 218-233 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000218


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Abstract

Multiple-telescope interferometry for high-angular-resolution astronomical imaging in the optical–IR–far-IR bands is currently a topic of great scientific interest. The fundamentals that govern the sensitivity of direct-detection instruments and interferometers are reviewed, and the rigorous sensitivity limits imposed by the Cramér–Rao theorem are discussed. Numerical calculations of the Cramér–Rao limit are carried out for a simple example, and the results are used to support the argument that interferometers that have more compact instantaneous beam patterns are more sensitive, since they extract more spatial information from each detected photon. This argument favors arrays with a larger number of telescopes, and it favors all-on-one beam-combining methods as compared with pairwise combination.

© 2003 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(030.5260) Coherence and statistical optics : Photon counting
(030.5290) Coherence and statistical optics : Photon statistics
(110.4280) Imaging systems : Noise in imaging systems
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(270.5290) Quantum optics : Photon statistics
(350.1270) Other areas of optics : Astronomy and astrophysics

History
Original Manuscript: April 24, 2002
Revised Manuscript: July 23, 2002
Manuscript Accepted: July 23, 2002
Published: February 1, 2003

Citation
Jonas Zmuidzinas, "Cramér–Rao sensitivity limits for astronomical instruments: implications for interferometer design," J. Opt. Soc. Am. A 20, 218-233 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-2-218


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