International Symposium on Antennas and Propagation
Fast Multipole Method for Periodic Scattering Problems
Yoshihiro Otani, Naoshi Nishimura,
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This presentation discusses an FMM for isotropic and anisotropic periodic boundary value problems for Maxwell’s equations in 3D. The periodic Green function and its derivatives, which are essential to the present method, are derived with Fourier analysis. We then apply the proposed method to scattering problems for two dimensional array of spheres and silicon woodpile structures, which are standard models in the field of photonic crystals. For the silicon woodpile structures, we compare the obtained energy transmittances with those in the previous studies. We observe good agreements.