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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 15 — Jul. 18, 2011
  • pp: 14268–14276

Angular spectrum calculations for arbitrary focal length with a scaled convolution

Satoru Odate, Chiaki Koike, Hidemitsu Toba, Tetsuya Koike, Ayako Sugaya, Katsumi Sugisaki, Katsura Otaki, and Kiyoshi Uchikawa  »View Author Affiliations


Optics Express, Vol. 19, Issue 15, pp. 14268-14276 (2011)
http://dx.doi.org/10.1364/OE.19.014268


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Abstract

Nyquist sampling theorem in an image calculation with angular spectrum method restricts a propagation distance and a focal length of a lens. In order to avoid these restrictions, we studied suitable expressions for the image computations depending on their conditions. Additionally, a lateral scale in an observation plane can be magnified freely by using a scaled convolution in each expression.

© 2011 OSA

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods
(260.1960) Physical optics : Diffraction theory
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: May 27, 2011
Revised Manuscript: June 24, 2011
Manuscript Accepted: June 25, 2011
Published: July 11, 2011

Citation
Satoru Odate, Chiaki Koike, Hidemitsu Toba, Tetsuya Koike, Ayako Sugaya, Katsumi Sugisaki, Katsura Otaki, and Kiyoshi Uchikawa, "Angular spectrum calculations for arbitrary focal length with a scaled convolution," Opt. Express 19, 14268-14276 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-15-14268


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