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Fourier Modal Method and Its Applications in Computational Nanophotonics by Byoungho Lee, Junghyun Park, Hwi Kim

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2

Scattering Matrix Method for Multiblock Structures

In this chapter, a scattering matrix (S-matrix) method is used to investigate optical wave propagation through a one-dimensional (1D) multiblock structure. The optical wave propagation algorithm for the classical transfer matrix method (TMM) suffers from numerical divergence when lossy dielectric or metallic materials are contained in the multiblock structure. Enhanced TMM (ETMM) is a refined algorithm of TMM that successfully overcomes this instability problem [13]. The S-matrix method has the same numerical stability as ETMM and additional advantages of computational parallelism and the fact that it can be extended to a more general mathematical framework that will be discussed in this ...

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