Analysis of guided resonances in photonic crystal slabs

Shanhui Fan and J. D. Joannopoulos
Phys. Rev. B 65, 235112 – Published 7 June 2002
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Abstract

We present a three-dimensional analysis of guided resonances in photonic crystal slab structures that 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 reflection 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 of the index modulation.

  • Received 7 August 2001

DOI:https://doi.org/10.1103/PhysRevB.65.235112

©2002 American Physical Society

Authors & Affiliations

Shanhui Fan

  • Department of Electrical Engineering, Stanford University, Stanford, California 94305

J. D. Joannopoulos

  • Center for Materials Science and Engineering, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Vol. 65, Iss. 23 — 15 June 2002

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