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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. 18, Iss. 10 — Oct. 1, 2001
  • pp: 2565–2576

High-precision fringe tracking invariant to systematic model errors

Valeri I. Karlov, Carlos E. Padilla, Keto Soosaar, Leslie E. Matson, Hon M. Chun, and Glenn V. Webb  »View Author Affiliations


JOSA A, Vol. 18, Issue 10, pp. 2565-2576 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002565


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Abstract

We present a new approach to processing of interferometric data, which dramatically improves operation on the smallest fraction of the fringe (∼1/1000 of a wavelength and beyond). In particular, this approach, dubbed the variation-invariant subspace tracking approach (VISTA), makes it possible to operate a Michelson interferometer in a highly stable mode in which the estimation of optical path delay becomes invariant (insensitive) to a large class of systematic model errors. This previously unknown invariance property of interferometry follows from the fundamental odd–even symmetry of the channeled spectrum and its derivatives. VISTA offers a powerful algorithmic alternative for alleviating technological challenges in the design of high-precision long-baseline spaceborne interferometers.

© 2001 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

History
Original Manuscript: November 13, 2000
Revised Manuscript: February 12, 2001
Manuscript Accepted: February 27, 2001
Published: October 1, 2001

Citation
Valeri I. Karlov, Carlos E. Padilla, Keto Soosaar, Leslie E. Matson, Hon M. Chun, and Glenn V. Webb, "High-precision fringe tracking invariant to systematic model errors," J. Opt. Soc. Am. A 18, 2565-2576 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-10-2565


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References

  1. Space Interferometry Mission: Taking the Measure of the Universe, , 1999. (Jet Propulsion Laboratory, 4800 Oak Grove Drive, Pasadena, Calif., 91109).
  2. M. M. Colavita, M. Shao, M. D. Rayman, “Orbiting stellar interferometer for astrometry and imaging,” Appl. Opt. 32, 1789–1797 (1993). [CrossRef] [PubMed]
  3. R. D. Reasenberg, R. W. Babcock, J. F. Chandler, M. V. Gorenstein, J. P. Huchra, M. R. Pearlman, I. I. Shapiro, R. S. Taylor, P. Bender, A. Buffington, B. Carney, J. A. Hughes, K. J. Johnston, B. F. Jones, L. E. Matson, “Microarcsecond optical astrometry: an instrument and its astrophysical applications,” Astron. J. 96, 1731–1745 (1988). [CrossRef]
  4. M. Shao, M. M. Colavita, B. E. Hines, D. H. Staelin, D. J. Hutter, K. J. Johnston, D. Mozurkewich, R. S. Simon, J. L. Hershey, J. A. Hughes, G. H. Kaplan, “The Mark III stellar interferometer,” Astron. Astrophys. 193, 357–371 (1988).
  5. H. Cramer, Mathematical Methods of Statistics (Princeton U. Press, Princeton, N. J., 1946).
  6. C. E. Padilla, V. I. Karlov, J. Li, H. M. Chun, J. N. Tsitsiklis, R. D. Reasenberg, “A study of fringe tracking for high precision space-based interferometers,” in Spaceborne Interferometry, R. D. Reasenberg, ed., Proc. SPIE2477, 63–76 (1995). [CrossRef]
  7. C. E. Padilla, V. I. Karlov, Starlight Fringe Detection and Tracking Algorithms for Long-Baseline Space-Based Interferometers, , 1998. (Moldyn, Inc., 955 Massachusetts Avenue, Suite 501, Cambridge, Mass. 02139).
  8. A. Gelb, ed., Applied Optimal Estimation (MIT Press, Cambridge, Mass., 1989).

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