Abstract

Modification of the phase gradient formulation is proposed in order to make phase retrieval less susceptible to noise. The modified formulation is derived from separation of the phase terms and the intensity modulation terms of interferograms, and subsequent differentiation to reduce the noise-induced error of the phase gradient vector. Its performance is evaluated and compared to that of the conventional formulation, and noise-robust nature is confirmed.

© 2010 Optical Society of Korea

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2009

2008

D. Kim and Y. J. Cho, “3-D surface profile measurement using an acousto-optic tunable filter based spectral phase shifting technique,” J. Opt. Soc. Korea 12, 281-287 (2008).
[CrossRef]

T. M. Jeong, C. M. Kim, D. K. Ko, and J. Lee, “Reconstruction of wavefront aberration of 100-TW Ti:sapphire laser pulse using phase retrieval method,” J. Opt. Soc. Korea 12, 186-191 (2008).
[CrossRef]

D. S. Park, Y. S. Lee, D. C. Kim, B. H. O, S. G. Park, E. H. Lee, and S. G. Lee, “Modified formulation of phase gradient for noise-immune phase retrieval in phase-shifting interferometry,” in Proc. Optical Fabrication and Testing (Rochester, NY, USA, Oct. 2008), CD, paper JWD4.

2006

2005

W. S. Ji, D. C. Kim, H. J. Kim, B. H. O, S. G. Park, E. H. Lee, and S. G. Lee, “NSOM-based characterization method applicable to optical channel waveguide with a solid-state cladding,” IEEE Photon. Technol. Lett. 17, 846-848(2005).
[CrossRef]

R. L. Burden and J. D. Faires, Numerical Analysis (Thomson Books/Cole Publishing Company, Australia, 2005), Chapter 4.

2000

1999

G. Paez and M. Strojnik, “Phase-shifted interferometry without phase unwrapping: reconstruction of a decentered wave front,” J. Opt. Soc. Am. A 16, 475-480 (1999).
[CrossRef]

G. Paez and M. Strojnik, “Analysis and minimization of noise effects in phase shifting interferometry,” Proc. SPIE 3744, 295-305 (1999).
[CrossRef]

1997

1996

D. Malacara, M. Servin, and A. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker Inc., New York, USA, 1996).

1992

D. Malacara, Optical Shop Testing (John Wiley & Sons Inc., New Jersey, USA, 1992).

1985

Appl. Opt.

IEEE Photon. Technol. Lett.

W. S. Ji, D. C. Kim, H. J. Kim, B. H. O, S. G. Park, E. H. Lee, and S. G. Lee, “NSOM-based characterization method applicable to optical channel waveguide with a solid-state cladding,” IEEE Photon. Technol. Lett. 17, 846-848(2005).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Korea

Journal of the Optical Society of Korea

D. Kim and Y. J. Cho, “3-D surface profile measurement using an acousto-optic tunable filter based spectral phase shifting technique,” J. Opt. Soc. Korea 12, 281-287 (2008).
[CrossRef]

T. M. Jeong, C. M. Kim, D. K. Ko, and J. Lee, “Reconstruction of wavefront aberration of 100-TW Ti:sapphire laser pulse using phase retrieval method,” J. Opt. Soc. Korea 12, 186-191 (2008).
[CrossRef]

Opt. Exp.

M. Servin, J. C. Estrada, J. A. Quiroga, J. F. Mosino, and M. Cywiak, “Noise in phase shifting interferometry,” Opt. Exp. 17, 8789-8794 (2009).
[CrossRef]

F. Bai and C. Rao, “Phase-shifts n<TEX>$\pi$</TEX>/2 calibration method for phase-stepping interferometry,” Opt. Exp. 17, 16861-16868 (2009).
[CrossRef]

Opt. Lett.

Proc. Optical Fabrication and Testing

D. S. Park, Y. S. Lee, D. C. Kim, B. H. O, S. G. Park, E. H. Lee, and S. G. Lee, “Modified formulation of phase gradient for noise-immune phase retrieval in phase-shifting interferometry,” in Proc. Optical Fabrication and Testing (Rochester, NY, USA, Oct. 2008), CD, paper JWD4.

Proc. SPIE

G. Paez and M. Strojnik, “Analysis and minimization of noise effects in phase shifting interferometry,” Proc. SPIE 3744, 295-305 (1999).
[CrossRef]

Other

R. L. Burden and J. D. Faires, Numerical Analysis (Thomson Books/Cole Publishing Company, Australia, 2005), Chapter 4.

D. Malacara, Optical Shop Testing (John Wiley & Sons Inc., New Jersey, USA, 1992).

D. Malacara, M. Servin, and A. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker Inc., New York, USA, 1996).

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