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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 18 — Aug. 30, 2010
  • pp: 19141–19155

A technique for calculating the amplitude distribution of propagated fields by Gaussian sampling

Moisés Cywiak, Arquímedes Morales, Manuel Servín, and Rafael Gómez-Medina  »View Author Affiliations


Optics Express, Vol. 18, Issue 18, pp. 19141-19155 (2010)
http://dx.doi.org/10.1364/OE.18.019141


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Abstract

We present a technique to solve numerically the Fresnel diffraction integral by representing a given complex function as a finite superposition of complex Gaussians. Once an accurate representation of these functions is attained, it is possible to find analytically its diffraction pattern. There are two useful consequences of this representation: first, the analytical results may be used for further theoretical studies and second, it may be used as a versatile and accurate numerical diffraction technique. The use of the technique is illustrated by calculating the intensity distribution in a vicinity of the focal region of an aberrated converging spherical wave emerging from a circular aperture.

© 2010 OSA

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(080.1010) Geometric optics : Aberrations (global)
(080.1510) Geometric optics : Propagation methods
(080.1753) Geometric optics : Computation methods
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: June 7, 2010
Revised Manuscript: July 21, 2010
Manuscript Accepted: August 4, 2010
Published: August 25, 2010

Citation
Moisés Cywiak, Arquímedes Morales, Manuel Servín, and Rafael Gómez-Medina, "A technique for calculating the amplitude distribution of propagated fields by Gaussian sampling," Opt. Express 18, 19141-19155 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-18-19141


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References

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