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Two Dimensional Photonic Crystal Modes and Resonances in Three-dimensional Structures

Published online by Cambridge University Press:  17 March 2011

Shanhui Fan  and
J. D. Joannopoulos
Shanhui Fan
Affiliation:
Department of Electrical Engineering, Stanford University, Stanford, CA 94305, U. S. A
J. D. Joannopoulos
Affiliation:
Department of Physics and Center for Material Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, U. S. A
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Abstract

We present three-dimensional analysis of two-dimensional guided resonances in photonic crystalslab structures. This analysis leads to a new understanding of the complex spectral properties of such systems. Specifically, we calculate the dispersion diagrams, the modal patterns, and transmission and reflection spectra of these resonances. From these calculations, a key observation emerges involving the presence of two temporal pathways for transmission and eflection processes. Using this insight, we introduce a general physical model that explains the essential features of complex spectral properties. Finally, we show that the quality factors of these resonances are strongly influenced by the symmetry of the modes, and the strength ofthe index modulation.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 694: Symposium K – Microphotonics 2001–Materials, Physics and Applications , 2001 , K8.5
Copyright
Copyright © Materials Research Society 2002

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