Abstract

We describe and demonstrate the extension of permittivity mode expansion, which is also know as generalized normal mode expansion (GENOME), to open and lossy periodic structures. The resulting expansion gives a complete spatial characterization of any open periodic structure, via the quasi-periodic Green’s tensor, by a complete, discrete set of modes rather than a continuum. The method has been validated by comparing our expansion of an open waveguide array with a direct scattering calculation. Good agreement was obtained regardless of the source location or detuning from resonance.

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