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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1354–1364

Polynomial fixed-point algorithm applied to the electromagnetic analysis of one-dimensional continuous structures

M. Perez-Molina and Luis Carretero-Lopez  »View Author Affiliations


JOSA B, Vol. 24, Issue 6, pp. 1354-1364 (2007)
http://dx.doi.org/10.1364/JOSAB.24.001354


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Abstract

We develop a general procedure that allows the determination of the spectral transmittance and reflectance at normal incidence for arbitrary one-dimensional continuous materials as well as the analysis of the time-domain propagation of pulses through them. This procedure consists of a generalization of Fresnel equations, and it is supported by an iterative algorithm also developed here: the polynomial fixed-point algorithm (PFPA). We apply these theoretical results to some concrete examples, such as determining the transmittance and reflectance for an absorptionless photonic crystal, an optical rugate filter, and a photonic crystal with periodic absorption. We also analyze the time-domain propagation of ultrashort Gaussian pulses through different structures.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: September 22, 2006
Manuscript Accepted: January 21, 2007
Published: May 17, 2007

Citation
M. Perez-Molina and Luis Carretero-Lopez, "Polynomial fixed-point algorithm applied to the electromagnetic analysis of one-dimensional continuous structures," J. Opt. Soc. Am. B 24, 1354-1364 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-6-1354

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