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Method for calculating the dynamic phase delay in holographic interferometry without phase unwrapping
A.V. Belashov, N.V. Petrov, I.V. Semenova

 

University ITMO (National Research University),
Ioffe Physical Technical Institute of the Russian Academy of Sciences

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Full text of article: Russian language.

DOI: 10.18287/0134-2452-2014-38-4-710-716

Pages: 710-716.

Abstract:
A method for calculating the difference between two arbitrary spatial phase distributions reconstructed from digital holograms is presented. The method is promising for application in double-exposure digital holographic interferometry, especially for the evaluation of phase variations in heavily noised or speckle-structure-modulated digital holograms, because it does not use the phase unwrapping procedure for each reconstructed spatial phase distribution. Instead, by analogy with classical double-exposure holographic interferometry, an interference pattern formed by two reconstructed object waves is calculated first. The interferogram thus obtained is then processed as a digital hologram by the same method that was used for reconstruction of physically recorded holograms. The advantages of the proposed method are demonstrated by both by the numerical computation of the difference of the phase distributions of speckle-structure-modulated wavefronts and the experimental observation of the laser-induced temperature gradients in an aqueous solution of a photosensitizer.

Key words:
digital holography, dynamic interferometry, phase retrieval, speckle structure, phase unwrapping.

Citation:
Belashov AV, Petrov NV, Semenova IV. Method for calculating the dynamic phase delay in holographic interferometry without phase unwrapping. Computer Optics 2014; 38(4): 704-709. DOI: 10.18287/0134-2452-2014-38-4-710-716.

References:

  1. Schedin, S. Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography / S. Schedin, G. Pedrini, H.J. Tiziani, F.M. Santoyo // Applied Optics. – 1999. – V. 38(34). – P. 7056-7062.
  2. Osten, W. Comparative digital holography / W. Osten, T. Ba­umbach, W. Jüptner // Optics Letters. – 2002. – Vol. 27(20). – P. 1764-1766.
  3. Pedrini, G. Pulsed digital holography for high-speed contouring that uses a two-wavelength method / G. Pedrini, P. Fröning, H.J. Tiziani, M.E. Gusev // Applied Optics. – 1999. – Vol. 38(16). – P. 3460-3467.
  4. Yu, L. Digital holographic microscopy for quantitative cell dynamic evaluation during laser microsurgery / L.Yu, S. Mohanty, J. Zhang, S. Genc, M.K. Kim, M.W. Berns, Z. Chen // Optics Express. – 2009. – Vol. 17(14). – P. 12031-12038.
  5. Ghiglia, D. Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software / D. Ghiglia, M. Pritt – New York: Wiley-Interscience. 1998. – 493 p.
  6. Desse, J.M. Digital three-color holographic interferometry for flow analysis / J.M. Desse, P. Picart, P. Tankam // Optics Express. – 2008. – Vol. 16(8). – P. 5471-5480.
  7. Yu, Q. Single-phase-step method with contoured correlation fringe patterns for ESPI / Q. Yu, S. Fu, X. Liu, Y. Xia, X. Sun // Optics Express. – 2004. – Vol. 12(20). – P. 4980-4985.
  8. Kerr, D. Extraction of phase data from electronic speckle pattern interferometric fringes using a single-phase-step method – a novelapproach / D. Kerr, F.M. Santoyo, J.R. Ty­rer // Journal of the Optical Society A. – 1990. – Vol. 7(5). – P. 820-826.
  9. Santoyo, F.M, Interferometric fringe analysis using a single phase step technique / F.M. Santoyo, D. Kerr, J.R. Tyrer. // Applied Optics. – 1988. – Vol. 27. – P. 4362-4364.
  10. Вест, Ч. Голографическая интерферометрия / Ч. Вест; пер. с англ. – М.: Мир, 1982. – 504 с. (Vest, C.M. Holographic Interferometry. – N.Y.: Wiley Interscience, 1979.)
  11. Baumbach, T. Remote metrology by comparative digital holography / T. Baumbach, W. Osten, C. Kopylow, W. Jüpt­ner // Applied Optics. – 2006. – Vol. 45(5). – P. 925-934.
  12. Liebling, M. Complex-wave retrieval from a single off-axis hologram / M. Liebling, T. Blu, M. Unser // Journal of the Optical Society A. – 2004. – Vol. 21(3). – P. 367-377.
  13. Almazan-Cuellar, S. Two-step phase-shifting algorithm / S. Almazan-Cuellar, D. Malacara-Hernandez // Optical Engineering. – 2003. – Vol. 42(12). – P. 3524-3531.
  14. Nalimov, A.G. Determination of surface roughness with field directions / A.G. Nalimov, V.V. Kotlyar, R.V. Skidanov // Computer Optics. – 2003. – Vol. 25. – P. 71-73 – (In Russian).
  15. Goldstein, R.M. Satellite radar interferometry: Two-dimensional phase unwrapping / R.M. Goldstein, H.A. Zeb­ken, C.L. Werner // Radio Science. – 1988. – Vol. 23(4). – P. 713-720.
  16. Fienup, J.R. Invariant error metrics for image reconstruction / J.R. Fienup // Applied Optics. – 1997. – Vol. 36(32). – P. 8352-8357.
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