Roundtrip matrix method for calculating the leaky resonant modes of open nanophotonic structures. de Lasson, J., R.; Kristensen, P., T.; Mørk, J.; and Gregersen, N. J. Opt. Soc. Am. A, 31(10):2142-2151, OSA, 2014.
abstract   bibtex   
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 we show that the scattering spectrum of these types of cavities can be reconstructed from the complex quasi-normal mode frequency.
@article{
 title = {Roundtrip matrix method for calculating the leaky resonant modes of open nanophotonic structures},
 type = {article},
 year = {2014},
 identifiers = {[object Object]},
 keywords = {Mathematical methods in physics; Numerical approxi},
 pages = {2142-2151},
 volume = {31},
 websites = {http://josaa.osa.org/abstract.cfm?URI=josaa-31-10-2142},
 publisher = {OSA},
 id = {bab6abdf-50af-31fc-9532-1a159b893ae4},
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 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 we show that
the scattering spectrum of these types of cavities can be reconstructed
from the complex quasi-normal mode frequency.},
 bibtype = {article},
 author = {de Lasson, Jakob Rosenkrantz and Kristensen, Philip Trøst and Mørk, Jesper and Gregersen, Niels},
 journal = {J. Opt. Soc. Am. A},
 number = {10}
}
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