Optimization approach to the suppression of vibration errors in phase-shifting interferometry

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 19, Issue 5, 2002, Pages 992-1004

  Milman, Mark ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ERROR ANALYSIS; OPTIMIZATION; PHASE SHIFT; VIBRATION CONTROL;

TIME-AVERAGED PHASE ESTIMATE;

INTERFEROMETRY;

EID: 0010027332     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.000992     Document Type: Article

References (12)

1. R. Danner and S. Unwin, "Space interferometry mission, taking the measure of the universe," JPL Pub. 400-811 (Jet Propulsion Laboratory, Pasadena, Calif., 1999).
2. P. J. de Groot, "Vibration in phase-shifting interferometry," J. Opt. Soc. Am. A 12, 354-365 (1995).
3. P. D. Ruiz, J. M. Huntley, Y. Shen, C. R. Coggrave, and G. H. Kaufmann, "Vibration-induced phase errors in high-speed phase-shifting speckle-pattern interferometry," Appl. Opt. 40, 2117-2125 (2001).
4. P. J. de Groot, "Derivation of algorithms for phase-shifting interferometry using the concept of a data-sampling window," Appl. Opt. 34, 4723-4730 (1995).
5. J. Schwider, R. Burrow, K.-E. Elsner, J. Grzana, R. Spolaczyk, and K. Merkel, "Digital wave-front measuring interferometry: some systematic error sources," Appl. Opt. 22, 3421-3432 (1983).
6. B. Zhao and Y. Surrel, "Phase shifting; six-sample selfcalibrating algorithm insensitive to the second harmonic in the fringe signal," Opt. Eng. 84, 2821-2822 (1995).
7. K. G. Larkin and B. F. Oreb, "Design and assessment of symmetrical phase shifting-algorithms," J. Opt. Soc. Am. A 9, 1740-1748 (1992).
8. Y. Surrel, "Phase-stepping: a new self-calibrating algorithm," Appl. Opt. 32, 3598-3600 (1993).
9. M. Milman and S. Basinger, "White light fringe estimation: algorithms, error sources and mitigation strategies," in Proceedings of the 2001 IEEE Aerospace Conference (Institute of Electrical and Electronics Engineers, New York, 2001), Paper 6.0811.
10. W. Rudin, Real and Complex Analysis, McGraw-Hill, New York (1974).
11. K. L. Chung, A Course in Probability Theory, 2nd ed. (Academic, New York, 1974).
12. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, New York, 1955).