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Optical and Quantum Electronics

, Volume 37, Issue 1–3, pp 133–147 | Cite as

Analysis and design of efficient coupling in photonic crystal circuits

  • P. SanchisEmail author
  • J. Martí
  • B. Luyssaert
  • P. Dumon
  • P. Bienstman
  • R. Baets
Article

Abstract

A rigorous analysis and design of efficient coupling from photonic crystal (PhC) waveguides into conventional dielectric waveguides is reported. Closed-form expressions for the reflection and transmission matrices that completely characterize the scattering that occurs at the interface are derived based on an eigenmode expansion technique and a Bloch basis. Analytic expressions are used to analyze the reflection into PhC waveguides. We obtain that negligible reflection can be achieved by choosing a certain interface within a PhC unit cell. Furthermore, analytic expressions are used to design a novel and compact coupler structure in order to achieve high coupling efficiency when broad dielectric waveguides are considered. Thereby, transmission efficiencies near 100 from the fundamental guided Bloch mode into the fundamental waveguide mode are achieved.

Keywords

eigenmode expansion electromagnetic scattering by periodic structures mode-matching photonic crystals 

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Copyright information

© Springer 2005

Authors and Affiliations

  • P. Sanchis
    • 1
    Email author
  • J. Martí
    • 1
  • B. Luyssaert
    • 2
  • P. Dumon
    • 2
  • P. Bienstman
    • 2
  • R. Baets
    • 2
  1. 1.Valencia Nanophotonics Technology CenterUniversidad Politécnica de ValenciaValenciaSpain
  2. 2.Department of Information TechnologyGhent University-IMECGhentBelgium

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