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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 20 — Jul. 10, 2014
  • pp: 4524–4531

Exact analytic solutions of Maxwell’s equations describing propagating nonparaxial electromagnetic beams

Roger L. Garay-Avendaño and Michel Zamboni-Rached  »View Author Affiliations


Applied Optics, Vol. 53, Issue 20, pp. 4524-4531 (2014)
http://dx.doi.org/10.1364/AO.53.004524


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Abstract

In this paper, we propose a method that is capable of describing in exact and analytic form the propagation of nonparaxial scalar and electromagnetic beams. The main features of the method presented here are its mathematical simplicity and the fast convergence in the cases of highly nonparaxial electromagnetic beams, enabling us to obtain high-precision results without the necessity of lengthy numerical simulations or other more complex analytical calculations. The method can be used in electromagnetism (optics, microwaves) as well as in acoustics.

© 2014 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.0260) Physical optics : Physical optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation
(350.7420) Other areas of optics : Waves
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: March 26, 2014
Revised Manuscript: May 15, 2014
Manuscript Accepted: May 22, 2014
Published: July 9, 2014

Citation
Roger L. Garay-Avendaño and Michel Zamboni-Rached, "Exact analytic solutions of Maxwell’s equations describing propagating nonparaxial electromagnetic beams," Appl. Opt. 53, 4524-4531 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-20-4524

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