Ill-conditioning of the finite-difference beam-propagation-method for the numerical modeling of photonic structures

Lubomir Sumichrast; Marcel Mican

doi:10.1117/12.525563

19 November 2003 Ill-conditioning of the finite-difference beam-propagation-method for the numerical modeling of photonic structures

Lubomir Sumichrast, Marcel Mican

Author Affiliations +

Proceedings Volume 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life; (2003) https://doi.org/10.1117/12.525563
Event: 19th Congress of the International Commission for Optics: Optics for the Quality of Life, 2002, Florence, Italy

Abstract

The conditioning of the matrix to be inverted in the Crank-Nicholson implementation of the FD-BPM is investigated. It is shown that in spite of a common belief that the Crank-Nicholson method is power conserving, due to the ill-conditioned matrix the results may be deteriorated completely. The critera for an assessment of this effect are given.

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Lubomir Sumichrast and Marcel Mican "Ill-conditioning of the finite-difference beam-propagation-method for the numerical modeling of photonic structures", Proc. SPIE 4829, 19th Congress of the International Commission for Optics: Optics for the Quality of Life, (19 November 2003); https://doi.org/10.1117/12.525563

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