Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique

Applied Optics

Volumn 36, Issue 19, 1997, Pages 4540-4548

  Servin, M ^a   Marroquin, J L ^b   Cuevas, F J ^a  

^a CENTRO DE INVESTIGACIONES EN ÓPTICA   (Mexico)

^b CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

Fringe analysis; Interferometry; Phase measurement

Indexed keywords

EID: 0001169561     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.004540     Document Type: Article

References (22)

1. K. J. Gasvik, Optical Metrology (Wiley, New York, 1987).
2. D. Malacara, ed., Optical Shop Testing (Wiley, New York, 1992).
3. J. H. Bruninig, D. R. Herriott, J. E. Gallager, D. P. Rosenfel, A. D. White, and D. J. Brangaccio, “Digital wavefront measuring interferometer for testing optical surfaces and lenses,” Appl. Opt. 13, 2693-2703 (1974).
4. J. E. Greivenkamp and J. H. Bruning, “Phase shifting inter-ferometry,” Optical Shop Testing (Wiley, New York, 1992), pp. 501-598.
5. M. Takeda, H. Ina, and S. Kobayashi, “Fourier transform methods of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156-160 (1982).
6. Y. Ichioka and M. Inuiya, “Direct phase detecting system,” Appl. Opt. 11, 1507-1514 (1972).
7. K. H. Womack, “Interferometric phase measurement using spatial synchronous detection,” Opt. Eng. 23, 391-395 (1984).
8. L. Mertz, “Real time fringe pattern analysis,” Appl. Opt. 22, 1535-1539 (1983).
9. P. L. Ransom and J. V. Kokal, “Interferogram analysis by a modified sinusoidal fitting technique,” Appl. Opt. 25, 4199-4204 (1986).
10. D. W. Shough, O. Y. Kwon, and D. F. Leavy, “High speed interferometric measurements of aerodynamic phenomena,” in Propagation of High-Energy Laser Beams through the Earth’s Atmosphere, P. B. Ulrich and E. Wilson, ed., Proc. SPIE 1221, 394-403 (1990).
11. M. Servin and F. J. Cuevas, “A novel technique for spatial phase-shifting interferometry,” J. Mod. Opt. 42, 1853-1862 (1995).
12. M. Servin and R. Rodriguez-Vera, “Two dimensional phase locked loop demodulation of carrier frequency interferograms,” J. Mod. Opt. 40, 2087-2094 (1993).
13. M. Servin, D. Malacara, and F. J. Cuevas, “Direct phase detection of modulated Ronchi rulings using a phase locked loop,” Opt. Eng. 33, 1193-1199 (1994).
14. T. Kreis, “Digital holographic interference-phase measurement using the Fourier transform method,” J. Opt. Soc. Am. A 3, 847-855 (1986).
15. A. Spik and D. W. Robinson, “Investigation of the cellular automata method for phase unwrapping and its implementation on an array processor,” Opt. Laser Eng. 14, 25-37 (1991).
16. D. C. Ghiglia, G. A. Mastin, and L. A. Romero, “Cellular automata method for phase unwrapping,” J. Opt. Soc. Am. 4, 267-280 (1987).
17. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107-117 (1994).
18. J. L. Marroquin, R. Rodriguez-Vera, M. Servin, and M. Tapia, “Parallel phase-unwrapping algorithms based on Markov random field models,” J. Opt. Soc. Am. A 12, 2578-2585 (1995).
19. J. L. Marroquin and M. Rivera, “Quadratic regularization functionals for phase unwrapping,” J. Opt. Soc. Am. A 12, 2393-2400 (1995).
20. J. L. Marroquin and M. Servin, “Adaptive quadrature filters and the recovery of phase from fringe pattern images,” J. Opt. Soc. Am.
21. J. Besag, “On the statistical analysis of dirty pictures,” J. R. Stat. Soc. B 48, 259-302 (1986).
22. R. Jaffe and E. Rechtin, “Design and performance of phase-lock circuits capable of near-optimum performance over a wide range of input signal and noise levels,” in Phase Locked Loops and Their Applications, C. W. Lindsey and K. M. Simon, eds. (IEEE, New York, 1978), pp. 20-30.