Abstract
A set of localized basis orbitals are presented to locally represent electromagnetic field in photonic crystals. These orbitals are different from the optical Wannier functions. They are the optical parallelism of quasiatomic orbitals in the context of electronic problems. We demonstrate the utility of these localized optical orbitals by recapturing eigenmodes in defected structures. Calculations for cavity modes and dispersion relations of waveguides agree well with the results from plane-wave expansion calculations. This approach also offers interesting physical insight to understand the state of light in ideal photonic crystals as well as defected structures.
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