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

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Abstract

We present three-dimensional analysis of two-dimensional guided resonances in photonic crystal slab 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 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.

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Authors and Affiliations

  1. Department of Electrical Engineering, Stanford University, Stanford, CA, 94305, USA

    Shanhui Fan

  2. Department of Physics and Center for Material Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    J. D. Joannopoulos

Authors
  1. Shanhui Fan
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  2. J. D. Joannopoulos
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Fan, S., Joannopoulos, J.D. Two Dimensional Photonic Crystal Modes and Resonances in Three-dimensional Structures. MRS Online Proceedings Library 692, 851 (2001). https://doi.org/10.1557/PROC-692-K8.5.1

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  • DOI: https://doi.org/10.1557/PROC-692-K8.5.1

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