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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 24 — Dec. 15, 2013
  • pp: 5296–5298

Calculation of the volumetric diffracted field with a three-dimensional convolution: the three-dimensional angular spectrum method

Shan Shan Kou, Colin J. R. Sheppard, and Jiao Lin  »View Author Affiliations


Optics Letters, Vol. 38, Issue 24, pp. 5296-5298 (2013)
http://dx.doi.org/10.1364/OL.38.005296


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Abstract

The first Rayleigh–Sommerfeld diffraction formula is treated in an exact form as a three-dimensional (3D) convolution in the spatial domain. Therefore, a 3D Fourier transform can be employed to convert the 3D diffracted electromagnetic field to the reciprocal space without approximations, which we call the 3D angular spectrum (3D-AS) method. It is also demonstrated that if evanescent waves are neglected, the 3D-AS method can be readily implemented numerically, with the results in good agreement with theoretical predictions.

© 2013 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(180.6900) Microscopy : Three-dimensional microscopy
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Microscopy

History
Original Manuscript: September 25, 2013
Manuscript Accepted: November 6, 2013
Published: December 5, 2013

Virtual Issues
Vol. 9, Iss. 2 Virtual Journal for Biomedical Optics

Citation
Shan Shan Kou, Colin J. R. Sheppard, and Jiao Lin, "Calculation of the volumetric diffracted field with a three-dimensional convolution: the three-dimensional angular spectrum method," Opt. Lett. 38, 5296-5298 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-24-5296


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