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

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3

Fourier Modal Method

In the previous chapter, the principle and mathematical framework of the S-matrix method was established by an analysis of 1D multiblock structures. The term 1D means that the structures have permittivity and permeability profiles that vary along the z-direction. The principle and mathematical framework of the Fourier modal method (FMM) is described in this chapter. We present FMM with a logical extension of the previous 1D structure analysis, keeping in mind that FMM is actually a mathematical generalization of the previous analysis on 1D structures to 2D/3D structures. In Section 3.1, the S-matrix analysis of a finite single-block structure with FMM is performed, through which the basis of FMM is constructed. The Fourier ...

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