NDLI: Numerical Methods for Calculating Poles of the Scattering Matrix With Applications in Grating Theory

Content Provider	IEEE Xplore Digital Library
Author	Bykov, D.A. Doskolovich, L.L.
Copyright Year	1983
Abstract	Waveguide and resonant properties of diffractive structures are often explained through the complex poles of their scattering matrices. Numerical methods for calculating poles of the scattering matrix with applications in grating theory are discussed and analyzed. A new iterative method for computing the scattering matrix poles is proposed. The method takes account of the scattering matrix form in the pole vicinity and relies upon solving matrix equations with use of matrix decompositions. Using the same mathematical approach, we also describe a Cauchy-integral-based method that allows all of the poles in a specified domain to be calculated. Calculation of the modes of a metal-dielectric diffraction grating shows that the iterative method proposed has the high rate of convergence and is numerically stable for large-dimension scattering matrices. An important advantage of the proposed method is that it usually converges to the nearest pole.
Sponsorship	IEEE Lasers and Electro-Optics Society Optical Society of America
Starting Page	793
Ending Page	801
Page Count	9
File Size	1324001
File Format	PDF
ISSN	07338724
Volume Number	31
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Scattering Transmission line matrix methods Matrix decomposition Iterative methods Diffraction Diffraction gratings Eigenvalues and eigenfunctions scattering matrix pole Diffraction grating optical resonance quasi-guided eigenmode
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics

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