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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2165–2176

Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method

Lindsay C. Botten, Nicolae-Alexandru P. Nicorovici, Ara A. Asatryan, Ross C. McPhedran, C. Martijn de Sterke, and Peter A. Robinson  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2165-2176 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002165


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Abstract

We present a formulation for wave propagation and scattering through stacked gratings comprising metallic and dielectric cylinders. By modeling a photonic crystal as a grating stack of this type, we thus formulate an efficient and accurate method for photonic crystal calculations that allows us to calculate reflection and transmission matrices. The stack may contain an arbitrary number of gratings, provided that each has a common period. The formulation uses a Green’s function approach based on lattice sums to obtain the scattering matrices of each layer, and it couples these layers through recurrence relations. In a companion paper [J. Opt. Soc. Am. A 17, 2177 (2000)] we discuss the numerical implementation of the method and give a comprehensive treatment of its conservation properties.

© 2000 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1960) Diffraction and gratings : Diffraction theory
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: December 10, 1999
Revised Manuscript: July 12, 2000
Manuscript Accepted: July 14, 2000
Published: December 1, 2000

Citation
Lindsay C. Botten, Nicolae-Alexandru P. Nicorovici, Ara A. Asatryan, Ross C. McPhedran, C. Martijn de Sterke, and Peter A. Robinson, "Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method," J. Opt. Soc. Am. A 17, 2165-2176 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2165


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