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Resonance and Bound States in Photonic Crystal Slabs
2003
SIAM Journal on Applied Mathematics
Using boundary-integral methods for time-harmonic electromagnetic (EM) fields, and their numerical implementation, we analyze EM resonance in slabs of two-phase dielectric photonic crystal materials. We characterize resonant frequencies by a complex Floquet-Bloch dispersion relation ω = W (β) defined by the existence of a nontrivial nullspace of a pair of boundary-integral projections parameterized by the wave number β and the time-frequency ω. At resonant frequencies, the crystal slab supports
doi:10.1137/s0036139902411120
fatcat:pfqmglxg7jclpmxtk2komk5oau