Abstract
Three-dimensional photonic crystals with face-centered cubic lattice structure, whose top plane is (111) plane, were fabricated by triple exposure of two-beam interference fringes. The transmittance of photonic crystals with face-centered cubic lattice structure fabricated by the holographic lithography mentioned above is analyzed by reducing the threedimensional structure into multilayer thin films employing the effective medium theory (EMT) and matrix method. The remarkable stop bands appeared at the Bragg wavelength calculated from the average of effective index. Relationships between stop bands and effective refractive index on the reduced film or filling factor of photonic atoms for a facecentered cubic lattice structure simulated by holographic lithography are shown. The validity of EMT result is also discussed in comparison with that of plane wave expansion method for a face-centered cubic lattice structure with sphere shape atoms. The stop bands were calculated by using the zero-th order, the second order and higher order EMT. The stop bands calculated using higher order and second order EMT fairly well agreed with that of plane wave expansion method, while the zero-th order result roughly agreed with that.
Published Version
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