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Roundtrip matrix method for calculating the leaky resonant modes of open nanophotonic structures

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Authors:
  • de Lasson, Jakob Rosenkrantz ;
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    Department of Photonics Engineering, Technical University of Denmark
  • Kristensen, Philip Trøst ;
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    Department of Photonics Engineering, Technical University of Denmark
  • Mørk, Jesper ;
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    Department of Photonics Engineering, Technical University of Denmark
  • Gregersen, Niels
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    Orcid logo0000-0002-8252-8989
    Department of Photonics Engineering, Technical University of Denmark
DOI:
10.1364/JOSAA.31.002142
Abstract:
We present a numerical method for calculating quasi-normal modes of open nanophotonic structures. The method is based on scattering matrices and a unity eigenvalue of the roundtrip matrix of an internal cavity, and we develop it in detail with electromagnetic fields expanded on Bloch modes of periodic structures. This procedure is simpler to implement numerically and more intuitive than previous scattering matrix methods, and any routine based on scattering matrices can benefit from the method. We demonstrate the calculation of quasi-normal modes for two-dimensional photonic crystals where cavities are side-coupled and in-line-coupled to an infinite W1 waveguide and show that the scattering spectrum of these types of cavities can be reconstructed from the complex quasi-normal mode frequency.
Type:
Journal article
Language:
English
Published in:
Journal of the Optical Society of America a, 2014, Vol 31, Issue 10, p. 2142-51
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
2014
Scientific Level:
Scientific
ID:
270718597

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