Dispersion curves and transmission spectra of a two-dimensional photonic band-gap crystal: Theory and experiment

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Abstract
An on‐shell method that combines plane‐wave and finite‐difference techniques for the calculation of dispersion curves and transmission spectra for electromagnetic fields in photonic band‐gap crystals is presented. The overall problem is decomposed into a field problem of determining the plane‐wave scattering from an individual crystalline layer and a conventional one‐dimensional network problem of combining this scattering to obtain the band structure of the entire crystal or the scattering properties of a crystal with a finite thickness. Results of the calculation are compared with experimental data measured using ultrawideband microwave pulses for a two‐dimensional photonic band‐gap crystal.

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