## Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one- and two-dimensional photonic crystals

JOSA B, Vol. 23, Issue 10, pp. 2249-2256 (2006)

http://dx.doi.org/10.1364/JOSAB.23.002249

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### Abstract

We propose a method for the determination of the band structure, reflectance, and transmittance of one- and two-dimensional photonic crystals that is based on the solution of integral equations. The results of this method are compared with those obtained by other well-known algorithms, and good agreement between them is found. The method is also tested by considering systems that possess a complex structure in their unit cell such as fractal geometries.

© 2006 Optical Society of America

**OCIS Codes**

(290.0290) Scattering : Scattering

**ToC Category:**

Photonic Crystals

**History**

Original Manuscript: February 15, 2006

Revised Manuscript: May 9, 2006

Manuscript Accepted: June 2, 2006

**Citation**

Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta, "Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one- and two-dimensional photonic crystals," J. Opt. Soc. Am. B **23**, 2249-2256 (2006)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-10-2249

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