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Optics Letters

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  • Vol. 36, Iss. 8 — Apr. 15, 2011
  • pp: 1341–1343

Direct calculation of a three-dimensional diffracted field

J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty  »View Author Affiliations


Optics Letters, Vol. 36, Issue 8, pp. 1341-1343 (2011)
http://dx.doi.org/10.1364/OL.36.001341


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Abstract

We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens–Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.

© 2011 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(220.2560) Optical design and fabrication : Propagating methods
(350.5500) Other areas of optics : Propagation
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: January 12, 2011
Revised Manuscript: March 7, 2011
Manuscript Accepted: March 10, 2011
Published: April 6, 2011

Citation
J. Lin, X.-C. Yuan, S. S. Kou, C. J. R. Sheppard, O. G. Rodríguez-Herrera, and J. C. Dainty, "Direct calculation of a three-dimensional diffracted field," Opt. Lett. 36, 1341-1343 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-8-1341


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