Fourier Modal Method

A photonic-crystal selective filter

A highly selective filter is designed, working at 1.55 ?m and having a 3-dB bandwidth narrower than 0.4 nm, as is required in Dense Wavelength Division Multiplexed systems. Different solutions are proposed, involving photonic crystals made rectangular- or circular-section dielectric rods, or else of holes drilled in a dielectric bulk. The polarization and frequency selective properties are achieved by introducing a defect in the periodic structure. The device is studied by us- ing in-house codes implementing the full-wave Fourier Modal Method.

The Fourier modal method for plasmonics

The FMM is characterized by expanding the EM field into Floquet-Fourier series and the medium into
Fourier series. Solve the Maxwell as equations as a matrix eigenvalue problem.
Advantage : Easy to write code and
For history reasons, There are lots of names to describe the FMM, such as RCWA, plane wave method,
different Method, and so on.
TWO breakthrough:
1. R-matrix or S-matrix
2. The convergence in TM polarization
Plasmonics is a branch of optical condensed matter science devoted to optical phenomenon on the

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