OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 1 — Jan. 3, 2011
  • pp: 32–39

Reference calculation of light propagation between parallel planes of different sizes and sampling rates

Petr Lobaz  »View Author Affiliations


Optics Express, Vol. 19, Issue 1, pp. 32-39 (2011)
http://dx.doi.org/10.1364/OE.19.000032


View Full Text Article

Enhanced HTML    Acrobat PDF (1631 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The article deals with a method of calculation of off-axis light propagation between parallel planes using discretization of the Rayleigh-Sommerfeld integral and its implementation by fast convolution. It analyses zero-padding in case of different plane sizes. In case of memory restrictions, it suggests splitting the calculation into tiles and shows that splitting leads to a faster calculation when plane sizes are a lot different. Next, it suggests how to calculate propagation in case of different sampling rates by splitting planes into interleaved tiles and shows this to be faster than zero-padding and direct calculation. Neither the speedup nor memory-saving method decreases accuracy; the aim of the proposed method is to provide reference data that can be compared to the results of faster and less precise methods.

© 2010 OSA

OCIS Codes
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: November 2, 2010
Revised Manuscript: December 10, 2010
Manuscript Accepted: December 12, 2010
Published: December 20, 2010

Citation
Petr Lobaz, "Reference calculation of light propagation between parallel planes of different sizes and sampling rates," Opt. Express 19, 32-39 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-1-32


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, 2004), 3rd ed.
  2. E. Lalor, “Conditions for the validity of the angular spectrum of plane waves,” J. Opt. Soc. Am. 58(9), 1235–1237 (1968). [CrossRef]
  3. L. Onural, “Exact analysis of the effects of sampling of the scalar diffraction field,” J. Opt. Soc. Am. A 24(2), 359–367 (2007). [CrossRef]
  4. L. Onural, A. Gotchev, H. Ozaktas, and E. Stoykova, “A survey of signal processing problems and tools in holographic three-dimensional television,” IEEE Trans. Circ. Syst. Video Tech. 17(11), 1631–1646 (2007). [CrossRef]
  5. V. Katkovnik, J. Astola, and K. Egiazarian, “Discrete diffraction transform for propagation, reconstruction, and design of wavefield distributions,” Appl. Opt. 47(19), 3481–3493 (2008). [CrossRef] [PubMed]
  6. N. Delen and B. Hooker, “Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach,” J. Opt. Soc. Am. A 15(4), 857–867 (1998). [CrossRef]
  7. J.-L. Kaiser, E. Quertemont, and R. Chevallier, “Light propagation in the pseudo-paraxial fresnel approximation,” Opt. Commun. 233(4-6), 261–269 (2004). [CrossRef]
  8. E. Sziklas and A. Siegman, “Diffraction calculations using fast Fourier transform methods,” Proc. IEEE 62(3), 410–412 (1974). [CrossRef]
  9. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15(9), 5631–5640 (2007). [CrossRef] [PubMed]
  10. F. Zhang, G. Pedrini, and W. Osten, “Reconstruction algorithm for high-numerical-aperture holograms with diffraction-limited resolution,” Opt. Lett. 31(11), 1633–1635 (2006). [CrossRef] [PubMed]
  11. K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [CrossRef] [PubMed]
  12. M. Frigo and S. G. Johnson, “The design and implementation of FFTW3,” Proc. IEEE 93(2), 216–231 (2005) (Special issue on “Program Generation, Optimization, and Platform Adaptation”). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited