Iterative full-vectorial "finite differences - variational principle" approach for the determination of the modal spectrum of photonic waveguides

Sumichrast, Lubomir (1997) Iterative full-vectorial "finite differences - variational principle" approach for the determination of the modal spectrum of photonic waveguides. In: Gallium Arsenide Applications Symposium. GAAS 1997, 3-5 September 1997, Bologna, Italy.
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Abstract

There are several methods to determine numerically modal spectrum of photonic waveguides. The problem itself can be formulated using appropriate discretisation scheme as a well-known algebraic problem of eigenvalues and eigenvectors. The difficulty consists in the large matrix dimensions which requires special approach to the determination of the eigenvalues and eigenvectors of the sparse matrices and complicates effective calculation due to immense demands on the computer memory. Recently proposed iterative method [1] modified for the use in full vectorial formulation can be efficiently employed. The feasibility of the method together with some improvements will be presented.

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Conference or Workshop Item (Paper)
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Sumichrast, Lubomir
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Deposit date
01 Dec 2005
Last modified
17 Feb 2016 14:24
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