Resonances of a finite one-dimensional photonic crystal with a defect

Junshan Lin, Fadil Santosa

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

This paper is concerned with the scattering resonances of a layered dielectric medium of finite extent. The photonic structure consists of a finite number of periodic layers and some defect embedded in the interior. It is proved that there exist resonances that are close to the point spectrum of an infinite layered structure. Moreover, the distance between such near bound-state resonances and the point spectrum decays exponentially as a function of the number of the periodic layers. A simple numerical method is also presented to calculate the near bound-state resonances accurately.

Original languageEnglish (US)
Pages (from-to)1002-1019
Number of pages18
JournalSIAM Journal on Applied Mathematics
Volume73
Issue number2
DOIs
StatePublished - 2013

Keywords

  • Helmholtz equation
  • Photonic crystal
  • Scattering resonances

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