## Two-dimensional scattering from a multilayered periodic structure of arbitrary shapes

Applied Optics, Vol. 49, Issue 33, pp. 6537-6545 (2010)

http://dx.doi.org/10.1364/AO.49.006537

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### Abstract

A numerical approach is presented to analyze the two-dimensional scattering properties from a multilayered periodic dielectric structure of an arbitrary number of arbitrarily shaped unit cells. The approach is enhanced by the periodic moment method, the lattice sums technique, and the Poisson summation formula. The matrix element’s evaluation accounts for the overall coupling between layers. The choosing of lattice parameters allows designs for a wide range of applications, including the electromagnetic bandgap filtering of an *E*-polarized wave, which is simulated and reported here.

© 2010 Optical Society of America

**OCIS Codes**

(050.1950) Diffraction and gratings : Diffraction gratings

(290.5850) Scattering : Scattering, particles

(050.1755) Diffraction and gratings : Computational electromagnetic methods

(230.5298) Optical devices : Photonic crystals

(230.7408) Optical devices : Wavelength filtering devices

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: June 9, 2010

Revised Manuscript: September 18, 2010

Manuscript Accepted: October 19, 2010

Published: November 19, 2010

**Citation**

Maurice Sesay and Mitsuhiro Yokota, "Two-dimensional scattering from a multilayered periodic structure of arbitrary shapes," Appl. Opt. **49**, 6537-6545 (2010)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-33-6537

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