OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 32 — Nov. 10, 2007
  • pp: 7906–7923

White-light interferometry using a channeled spectrum. 2. Calibration methods, numerical and experimental results

Chengxing Zhai, Mark H. Milman, Martin W. Regehr, and Paul K. Best  »View Author Affiliations

Applied Optics, Vol. 46, Issue 32, pp. 7906-7923 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (3446 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In the companion paper, [Appl. Opt. 46, 5853 (2007)] a highly accurate white light interference model was developed from just a few key parameters characterized in terms of various moments of the source and instrument transmission function. We develop and implement the end-to-endprocess of calibrating these moment parameters together with the differential dispersion of the instrument and applying them to the algorithms developed in the companion paper. The calibrationprocedure developed herein is based on first obtaining the standard monochromatic parameters at the pixel level: wavenumber, phase, intensity, and visibility parameters via a nonlinear least-squaresprocedure that exploits the structure of the model. The pixel level parameters are then combined to obtain the required “global” moment and dispersion parameters. Theprocess is applied to both simulated scenarios of astrometric observations and to data from the microarcsecond metrology testbed (MAM), an interferometer testbed that has played a prominent role in the development of this technology.

© 2007 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5060) Instrumentation, measurement, and metrology : Phase modulation

ToC Category:

Original Manuscript: March 9, 2007
Revised Manuscript: September 7, 2007
Manuscript Accepted: September 13, 2007
Published: November 9, 2007

Chengxing Zhai, Mark H. Milman, Martin W. Regehr, and Paul K. Best, "White-light interferometry using a channeled spectrum. 2. Calibration methods, numerical and experimental results," Appl. Opt. 46, 7906-7923 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. J. Marr, "Space Interferometry Mission(SIM) overview and current status," Proc. SPIE 4852, 1-15 (2003). [CrossRef]
  2. R. A. Laskin, "SIM technology development overview-light at the end of the tunnel," Proc. SPIE 4852, 16-32 (2003). [CrossRef]
  3. R. Goullioud and T. J. Shen, "MAM testbed detailed description and alignment," in Proceedings of IEEE Conference on Aerospace (IEEE, 2004), pp. 2191-2200.
  4. R. Goullioud and T. J. Shen, "SIM astrometric demonstration at 24 picometers on the MAM testbed," in Proceedings of IEEE Conference on Aerospace (IEEE, 2004), pp. 2179-2190.
  5. M. Milman, C. Zhai, and M. Regehr, "White-light interferometry using a channeled spectrum. 1. General models and fringe estimation algorithms," Appl. Opt. 46, 5853-5865 (2007). [CrossRef] [PubMed]
  6. X. Pan, F. Zhao, and M. Shao, "MAM testbed data analysis: cyclic averaging," Proc. SPIE 4852, 612-622 (2003). [CrossRef]
  7. R. C. M. Learner, A. P. Thorne, I. Wynee-Jones, J. W. Brault, and M. C. Abrams, "Phase correction of emission line Fourier transform spectra," J. Opt. Soc. Am. A 12, 2165-2171 (1995). [CrossRef]
  8. K. Rahmelow and W. Hubner, "Phase correction in Fourier transform spectroscopy," Appl. Opt. 36, 6678-6686 (1997). [CrossRef]
  9. C. D. Barnet, J. M. Blaisdell, and J. Susskind, "Practical method for rapid and accurate computation of interferometric spectra for remote sensing application," IEEE Trans. Geosci. Remote Sens 38, 169-183 (2000). [CrossRef]
  10. A. Ben-David and A. Ifarraguerri, "Computation of a spectrum from a single-beam Fourier-transform infrared interferogram," Appl. Opt. 41, 1181-1189 (2002). [CrossRef] [PubMed]
  11. M. Regehr and M. Milman, "Analysis and numerical modeling of error sources in SIM star light phase detection," in Proceedings of IEEE Conference on Aerospace (IEEE, 2005), pp. 1-8.
  12. M. Milman, "Accurately computing the optical pathlength difference for a Michelson interferometer with minimal knowledge of the source spectrum," J. Opt. Soc. Am. A 22, 2774-2785 (2005). [CrossRef]
  13. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989).
  14. P. R. Lawson, "Phase and group delay estimation," in Principles of Long Baseline Stellar Interferometry, P. R. Lawson, ed., Course Notes from the 1999 Michelson Interferometry Summer School (Jet Propulsion Laboratory, Calif., 1999).
  15. D. G. Luenberger, Optimization By Vector Space Methods (Wiley, 1969).
  16. G. Golub and V. Pereyra, "The differentiation of pseudoinverse and nonlinear least squares problems whose variable separate," SIAM (Soc. Ind. Appl. Math) J. Numer. Anal. 10, 413-432 (1973).
  17. R. Fletcher, Practical Methods for Optimization (Wiley, 1987).
  18. M. Milman and S. G. Turyshev, "Observational model for miscroarcsecond astrometry with the Space Interferometer Mission," Opt. Eng. 42, 1873-1883 (2003). [CrossRef]
  19. A. J. Pickles, "A stellar spectral flux library: 1150-25000 Å," Publ. Astron. Soc. Pac. 110, 863-878 (1998). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited