A Bloch modal approach for engineering waveguide and cavity modes in two-dimensional photonic crystals

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In open nanophotonic structures, the natural modes are so-called quasi-normal modes satisfying an outgoing wave boundary condition. We present a new scheme based on a modal expansion technique, a scattering matrix approach and Bloch modes of periodic structures for determining these quasi-normal modes. As opposed to spatial discretization methods like the nite-dierence time-domain method and the nite element method, the present approach satises automatically the outgoing wave boundary condition in the propagation direction which
represents a signicant advantage of our new method. The scheme uses no external excitation and determines the quasi-normal modes as unity eigenvalues of the cavity roundtrip matrix. We demonstrate the method and the quasi-normal modes for two types of two-dimensional photonic crystal structures, and discuss the quasi-normal mode eld distributions and Q-factors in relation to the transmission spectra of these structures.
Original languageEnglish
Title of host publicationProceedings of SPIE
Number of pages6
PublisherSPIE - International Society for Optical Engineering
Publication date2014
ISBN (Electronic)9781628410754
Publication statusPublished - 2014
EventPhotonic Crystal Materials and Devices XI: SPIE 9127 - Brussels, Belgium
Duration: 15 Apr 201417 Apr 2014


ConferencePhotonic Crystal Materials and Devices XI


  • Bloch modes
  • Quasi-normal modes
  • Photonic crystals
  • Waveguides
  • cavities
  • Modal expansion techniques

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