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
(290.0290) Scattering : Scattering
Original Manuscript: February 15, 2006
Revised Manuscript: May 9, 2006
Manuscript Accepted: June 2, 2006
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)