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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 17 — Aug. 15, 2011
  • pp: 15976–15981

Reconstructing the phase distribution of two Interfering wavefronts by analysis of their nonlocalized fringes with an iterative method

Ehsan A. Akhlaghi, Ahmad Darudi, and M. Taghi Tavassoly  »View Author Affiliations


Optics Express, Vol. 19, Issue 17, pp. 15976-15981 (2011)
http://dx.doi.org/10.1364/OE.19.015976


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Abstract

This paper presents a technique for reconstructing two interfering wavefronts by analyzing their 3D interference field pattern. The method is based on the numerical inverse problem and will present a robust algorithm for reconstructing of wavefronts. Several simulations are done to validate the proposed method.

© 2011 OSA

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 9, 2011
Revised Manuscript: April 19, 2011
Manuscript Accepted: April 25, 2011
Published: August 5, 2011

Citation
Ehsan A. Akhlaghi, Ahmad Darudi, and M. Taghi Tavassoly, "Reconstructing the phase distribution of two Interfering wavefronts by analysis of their nonlocalized fringes with an iterative method," Opt. Express 19, 15976-15981 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-17-15976


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References

  1. D. Malacara, M. Servin, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).
  2. D. Malacara, Optical Shop Testing (John Wiley & Sons, 1998).
  3. R. Tyson, Principles of Adaptive Optics (CRC Press, 2010).
  4. J. M. Geary, Introduction to Wavefront Sensors (SPIE Press, 1995).
  5. R. V. Shack and B. C. Platt, “Production and use of a lenticular Hartmann screen,” J. Opt. Soc. Am. 61, 656 (1971).
  6. M. R. Teague, “Deterministic phase retrieval: a Green’s function solution,” J. Opt. Soc. Am. A 73(11), 1434–1441 (1983). [CrossRef]
  7. N. Streibl, “Phase imaging by the transport equation of intensity,” Opt. Commun. 49(1), 6–10 (1984). [CrossRef]
  8. J. Ragazzoni, “Pupil plane wavefront sensing with an oscillating prism,” J. Mod. Opt. 43(2), 289–293 (1996). [CrossRef]
  9. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
  10. Z. Zalevsky, D. Mendlovic, and R. G. Dorsch, “Gerchberg-Saxton algorithm applied in the fractional Fourier or the Fresnel domain,” Opt. Lett. 21(12), 842–844 (1996). [CrossRef] [PubMed]
  11. K. R. Freischlad, “Absolute interferometric testing based on reconstruction of rotational shear,” Appl. Opt. 40(10), 1637–1648 (2001). [CrossRef] [PubMed]
  12. R. Kowarschik, L. Wenke, T. Baade, M. Esselbach, A. Kiessling, G. Notni, and K. Uhlendorf, “Optical measurements with phase-conjugate mirrors,” Appl. Phys. B 69(5-6), 435–443 (1999). [CrossRef]
  13. C. Ai and J. C. Wyant, “Absolute testing of flats by using even and odd functions,” Appl. Opt. 32(25), 4698–4705 (1993). [CrossRef] [PubMed]
  14. U. Griesmann, “Three-flat test solutions based on simple mirror symmetry,” Appl. Opt. 45(23), 5856–5865 (2006). [CrossRef] [PubMed]
  15. R. de la Fuente and E. López Lago, “Mach-Zehnder diffracted beam interferometer,” Opt. Express 15(7), 3876–3887 (2007). [CrossRef] [PubMed]
  16. M. T. Tavassoly and A. Darudi, “Reconstruction of interfering wavefronts by analyzing their interference pattern in three dimensions,” Opt. Commun. 175(1-3), 43–50 (2000). [CrossRef]
  17. A. Darudi and M. T. Tavassoly, “Interferometric specification of lens (single and doublet) parameters,” Opt. Lasers Eng. 35(2), 79–90 (2001). [CrossRef]
  18. A. Darudi, “Interferometry without reference wave,” (PhD Thesis, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran, 2001).
  19. M. Born, and E. Wolf, Principles of Optics (Cambridge University Press, 2003).
  20. F. Shen and A. Wang, “Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula,” Appl. Opt. 45(6), 1102–1110 (2006). [CrossRef] [PubMed]
  21. D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, and F. Marinho, “Fast algorithms for free-space diffraction patterns calculation,” Opt. Commun. 164(4-6), 233–245 (1999). [CrossRef]
  22. M. Bass, Handbook of Optics (McGraw-Hill, 1995), Vol. I.
  23. http://www.zemax.com

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