OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 5 — Feb. 10, 2009
  • pp: 847–861

SIM PlanetQuest white-light fringe modeling: picometer accuracy calibration and estimation algorithms

Chengxing Zhai, Jeffrey Yu, Mike Shao, Renaud Goullioud, Mark Milman, and Tsae-Pyng Shen  »View Author Affiliations

Applied Optics, Vol. 48, Issue 5, pp. 847-861 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (1774 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



SIM PlanetQuest will perform narrow-angle astrometry with microarcsecond accuracy using starlight interferometry requiring tens of picometers accuracy in estimating the optical path difference change between observing two stars. One challenge is to accurately model the white-light fringes and calibrate the required model parameters. Previous studies have developed algorithms based on a CCD-pixel-level calibration scheme assuming slowly varying phase-dispersion functions. However, recent measurements from the SIM PlanetQuest Spectral Calibration Development Unit (SCDU) showed that wavefront aberrations caused the phase-dispersion functions to vary by tens of nanometers across the bandwidth of a CCD pixel, making the previous CCD-pixel-based calibration scheme inadequate. We present a white-light fringe model including the extra phase dispersions caused by the wavefront aberrations together with a calibration and estimation scheme using long-stroke fringe measurements to resolve the bandwidth of pixels. Using simulated data, we show that the total systematic errors in the calibration and estimation scheme are less than a picometer. With SCDU experimental data, we demonstrate that the end-to-end accuracy of the calibration and estimation algorithm is better than 20 pm , achieving the SIM PlanetQuest Engineering Milestone 4.

© 2009 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(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:
Instrumentation, Measurement, and Metrology

Original Manuscript: September 4, 2008
Revised Manuscript: December 11, 2008
Manuscript Accepted: December 15, 2008
Published: February 2, 2009

Chengxing Zhai, Jeffrey Yu, Mike Shao, Renaud Goullioud, Mark Milman, and Tsae-Pyng Shen, "SIM PlanetQuest white-light fringe modeling: picometer accuracy calibration and estimation algorithms," Appl. Opt. 48, 847-861 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Tang, “SIM-PlanetQuest: progress report,” Proc. SPIE 6268, 626822 (2006). [CrossRef]
  2. R. A. Laskin, “Successful completion of SIM-PlanetQuest technology,” Proc. SPIE 6268, 626823 (2006). [CrossRef]
  3. S. C. Unwin, M. Shao, A. M. Tanner, R. J. Allen, C. A. Beichman, D. Bobolz, J. H. Catanzarite, B. C. Chaboyer, D. R. Ciardi, S. J. Edberg, A. L. Fey, D. A. Fischer, C. R. Gelino, A. P. Gould, C. Grillmair, T. J. Henry, K. V. Johnson, K. J. Johnston, D. L. Jones, S. R. Kulkarni, N. M. Law, S. R. Majewski, V. V. Makarov, G. W. Marcy, D. L. Meier, R. P. Olling, X. Pan, R. J. Patterson, J. E. Pitesky, A. Quirrenbach, S. B. Shaklan, E. J. Shaya, L. E. Strigari, J. A. Tomsick, A. E. Wehrle, and G. Worthey, “Taking the measure of the Universe: precision astrometry with SIM PlanetQuest,” Publ. Astron. Soc. Pac. 120, 38-88 (2008). [CrossRef]
  4. 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]
  5. R. Demers, X. An, A. Azizi, G. Brack, O. Lay, D. Ryan, T. Shen, G. Sun, H. Tang, and C. Zhai, “Spectral calibration at the picometer level on SCDU (Spectral Calibration Development Unit),” Proc. SPIE 7013, 70132H (2008). [CrossRef]
  6. M. Milman, C. Zhai, and M. Regehr, “White light interferometry using a channel spectrum part 1: model, algorithm,” Appl. Opt. 46, 5853-5865 (2007). [CrossRef] [PubMed]
  7. C. Zhai, M. Milman, and M. Regehr, “White light interferometry using a channel spectrum part 2: calibration methods, numerical and experimental results,” Appl. Opt. 46, 7906-7923(2007). [CrossRef] [PubMed]
  8. M. C. Noecker, “Systematic errors in high-precision optical interferometric astrometry,” Proc. SPIE 2477, 188-208(1995). [CrossRef]
  9. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989).
  10. 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, 1999).
  11. T. Hong, “SIM PlanetQuest Spectral Calibration Development Unit beam combiner,” Proc. SPIE 7013, 70134Y(2008).
  12. C. E. Shannon, “Communication in the presence of noise,” Proc. IRE 37, 10-21 (1949). [CrossRef]
  13. C. Zhai, “Highly accurate reconstruction algorithm for bandwidth-limited signals and application to fringe recovery,” J. Opt. Soc. Am. A 26, 43-58 (2009). [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