Abstract
A phase demodulation scheme using a discrete Hilbert transform that can change the interferometric phase by π/2 has been investigated. In-quadrature components of a fringe pattern are obtained from one captured interferogram using a one-dimensional (1-D) discrete Hilbert transform and a 1-D discrete high-pass filtering that are based on a digital signal processing technique. The phase distribution in the range of 15π (rad) can be demodulated with the proposed method. The 1-D discrete Hilbert transform can be extended to two-dimensional calculation with a raster scanning procedure. © 2005 The Optical Society of Japan
Similar content being viewed by others
References
N. A. Massie, R. D. Nelson and S. Holly: Appl. Opt. 18 (1979) 1797.
F. M. Mottier: Opt. Eng. 18 (1979) 464.
G. E. Sommargren: Appl. Opt. 20 (1981) 610.
K. Creath: Progress in Optics, ed. E. Wolf (Elsevier, Amsterdam, 1988) Vol. 26, p. 349.
J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White and D. J. Brangaccio: Appl. Opt. 13 (1974) 2693.
Y. Ishii: Progress in Optics, ed. E. Wolf (Elsevier, Amsterdam, 2004) Vol. 46, p. 243.
M. Takeda, H. Ina and S. Kobayashi: J. Opt. Soc. Am. 72 (1982) 156.
M. Sticker, C. K. Hitzenberger, R. Leitgeb and A. F. Fercher: Opt. Lett. 26 (2001) 518.
K. G. Larkin, D. J. Bone and M. A. Oldfield: J. Opt. Soc. Am. A 18 (2001) 1862.
Y. Watanabe and I. Yamaguchi: Appl. Opt. 41 (2002) 4497.
Y. Zhao, Z. Chen, C. Saxer, S. Xiang, J. F. de Boer and J. S. Nelson: Opt. Lett. 25 (2000) 114.
C. K. Hitzenberger, M. Sticker, R. Leitgeb and A. F. Fercher: Opt. Lett. 26 (2001) 1864.
S. S. C. Chim and G. S. Kino: Appl. Opt. 31 (1992) 2550.
R. N. Bracewell: The Fourier Transform and Its Applications (Mcgraw-hill, New York, 1986) p. 267.
S. D. Stearns and R. A. David: Signal Processing Algorithms (Prentice hall, New Jersey, 1988) p. 297.
N. Mikami: Introduction to Digital Signal Processing by C Language (CQ Publishing Company, Tokyo, 2002) p. 185 [in Japanese].
J. E. Greivenkamp and J. H. Bruning: Optical Shop Testing, ed. D. Malacara (Wiley-Interscience, New York, 1992) p. 514.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Onodera, R., Watanabe, H. & Ishii, Y. Interferometric Phase-Measurement Using a One-Dimensional Discrete Hilbert Transform. OPT REV 12, 29–36 (2005). https://doi.org/10.1007/s10043-005-0029-7
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10043-005-0029-7