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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 18453–18463

Shifted angular spectrum method for off-axis numerical propagation

Kyoji Matsushima  »View Author Affiliations


Optics Express, Vol. 18, Issue 17, pp. 18453-18463 (2010)
http://dx.doi.org/10.1364/OE.18.018453


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Abstract

A novel method is proposed for simulating free-space propagation from an input source field to a destination sampling window laterally shifted from that in the source field. This off-axis type numerical propagation is realized using the shifted-Fresnel method (Shift-FR) and is very useful for calculating non-paraxial and large-scale fields. However, the Shift-FR is prone to a serious problem, in that it causes strong aliasing errors in short distance propagation. The proposed method, based on the angular spectrum method, resolves this problem. Numerical examples as well as the formulation are presented.

© 2010 OSA

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(090.1760) Holography : Computer holography

ToC Category:
Physical Optics

History
Original Manuscript: July 12, 2010
Manuscript Accepted: August 8, 2010
Published: August 13, 2010

Citation
Kyoji Matsushima, "Shifted angular spectrum method for off-axis numerical propagation," Opt. Express 18, 18453-18463 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-17-18453


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References

  1. T. M. Kreis, M. Adams, and W. P. O. Jüptner, “Methods of digital holography: A comparison,” Proc. SPIE 3098, 224–233 (1997). [CrossRef]
  2. F. Zhang, I. Yamaguchi, and L. P. Yaroslavsky, “Algorithm for reconstruction of digital holograms with adjustable magnification,” Opt. Lett. 29(14), 1668–1670 (2004). [CrossRef] [PubMed]
  3. L. Yu and M. K. Kim, “Pixel resolution control in numerical reconstruction of digital holography,” Opt. Lett. 31(7), 897–899 (2006). [CrossRef] [PubMed]
  4. D. Wang, J. Zhao, F. Zhang, G. Pedrini, and W. Osten, “High-fidelity numerical realization of multiple-step Fresnel propagation for the reconstruction of digital holograms,” Appl. Opt. 47(19), D12–D20 (2008). [CrossRef] [PubMed]
  5. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15(9), 5631–5640 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-9-5631 . [CrossRef] [PubMed]
  6. M. Sypek, “Light propagation in the Fresnel region. New numerical approach,” Opt. Commun. 116(1-3), 43–48 (1995). [CrossRef]
  7. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), chap. 3.10.
  8. K. Matsushima and T. Shimobaba, “Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields,” Opt. Express 17(22), 19662–19673 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-22-19662 . [CrossRef] [PubMed]
  9. K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. Am. A 20(9), 1755–1762 (2003), http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-9-1755 . [CrossRef]
  10. K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47(19), D110–D116 (2008), http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-19-D110 . [CrossRef] [PubMed]
  11. 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]
  12. S. J. Jeong and C. K. Hong, “Pixel-size-maintained image reconstruction of digital holograms on arbitrarily tilted planes by the angular spectrum method,” Appl. Opt. 47(16), 3064–3071 (2008). [CrossRef] [PubMed]
  13. S. De Nicola, A. Finizio, G. Pierattini, P. Ferraro, and D. Alfieri, “Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes,” Opt. Express 13(24), 9935–9940 (2005). [CrossRef] [PubMed]
  14. K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt. 44(22), 4607–4614 (2005), http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-22-4607 . [CrossRef] [PubMed]
  15. 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), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-22-19662 . [CrossRef] [PubMed]
  16. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), chap. 2.2.

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