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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 8 — Apr. 15, 2014
  • pp: 2338–2341

Diffraction algorithm suitable for both near and far field with shifted destination window and oblique illumination

Cheng-Shan Guo, Yi-Yan Xie, and Bei Sha  »View Author Affiliations


Optics Letters, Vol. 39, Issue 8, pp. 2338-2341 (2014)
http://dx.doi.org/10.1364/OL.39.002338


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Abstract

We propose a method for diffraction simulation with both shifted destination window and a large oblique illumination. Based on the angular spectrum theory, we first derive a generalized transfer function (GTF) and a generalized point-spread function (GSPF) suitable for free-space diffraction simulation when both a shifted destination window and a large oblique illumination are taken into account. Then we analyze the sampling error caused by sampling of the GTF and the GSPF for numerical simulation based on fast Fourier transform (FFT), and find out an analytical formula for determining a criteria distance of Zc. Theoretical analysis and simulation results prove that the FFT-based GTF sampling algorithm is valid for diffraction simulation with a diffraction distance less than or equal to Zc, while the FFT-based GSPF sampling is only suitable for the simulation with a distance larger than or equal to Zc. Based on theoretical analysis, we propose the hybrid GTF-GSPF algorithm suitable for simulation of both near- and far-field diffractions with shifted destination window and large oblique source illumination at the same time. Finally, some simulation results are given to verify the feasibility of the algorithm.

© 2014 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(090.1970) Holography : Diffractive optics
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: February 10, 2014
Manuscript Accepted: March 12, 2014
Published: April 8, 2014

Citation
Cheng-Shan Guo, Yi-Yan Xie, and Bei Sha, "Diffraction algorithm suitable for both near and far field with shifted destination window and oblique illumination," Opt. Lett. 39, 2338-2341 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-8-2338


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References

  1. G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, Phys. Rev. Lett. 97, 025506 (2006). [CrossRef]
  2. T. Shimobaba, M. Makowski, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, Opt. Express 21, 25285 (2013). [CrossRef]
  3. W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, Opt. Express 18, 11181 (2010). [CrossRef]
  4. D. W. E. Noom, K. S. E. Eikema, and S. Witte, Opt. Lett. 39, 193 (2014). [CrossRef]
  5. N. Okada, T. Shimobaba, Y. Ichihashi, R. Oi, K. Yamamoto, M. Oikawa, T. Kakue, N. Masuda, and T. Ito, Opt. Express 21, 9192 (2013). [CrossRef]
  6. L. Yaroslavsky, Proc. SPIE 6252, 625216 (2006). [CrossRef]
  7. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, Opt. Express 15, 5631 (2007). [CrossRef]
  8. J. F. Restrepo and J. G. Sucerquia, Appl. Opt. 49, 6430 (2010). [CrossRef]
  9. J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty, Opt. Lett. 36, 1341 (2011). [CrossRef]
  10. G. Bora Esmer, Appl. Opt. 52, A18 (2013). [CrossRef]
  11. P. Lobaz, Opt. Express 21, 2795 (2013). [CrossRef]
  12. S. De Nicola, A. Finizio, G. Pierattini, P. Ferraro, and D. Alfieri, Opt. Express 13, 9935 (2005). [CrossRef]
  13. K. Falaggis, T. Kozacki, and M. Kujawinska, Appl. Opt. 52, 3288 (2013). [CrossRef]
  14. K. Matsushima and T. Shimobaba, Opt. Express 17, 19662 (2009). [CrossRef]
  15. K. Matsushima, Opt. Express 18, 18453 (2010). [CrossRef]
  16. S. Odate, C. Koike, H. Toba, T. Koike, A. Sugaya, K. Sugisaki, K. Otaki, and K. Uchikawa, Opt. Express 19, 14268 (2011). [CrossRef]
  17. P. Lobaz, Opt. Express 19, 32 (2011). [CrossRef]
  18. T. Shimobaba, K. Matsushima, T. Kakue, N. Masuda, and T. Ito, Opt. Lett. 37, 4128 (2012). [CrossRef]
  19. T. Kozacki, K. Falaggis, and M. Kujawinska, Appl. Opt. 51, 7080 (2012). [CrossRef]
  20. Y. Xiao, X. Tang, Y. Qin, H. Peng, and W. Wang, Opt. Lett. 37, 4943 (2012). [CrossRef]
  21. K. Yamamoto, Y. Ichihashi, T. Senoh, R. Oi, and T. Kurita, Opt. Express 20, 12949 (2012). [CrossRef]
  22. T. Shimobaba, T. Kakue, M. Oikawa, N. Okada, Y. Endo, R. Hirayama, and T. Ito, Opt. Lett. 38, 5130 (2013). [CrossRef]
  23. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, 2005).

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