Abstract
One-dimensional (ID) gratings have proven to be key elements in fibre-based (eg. filters and dispersion compensaters) and semiconductor waveguide-based (eg. DFB lasers) optoelectronic devices. By extrapolating front work done on photonic bandgap materials,1 there are several new opportunities that might arise by developing waveguides textured with 2D periodic gratings.2 However, the well-known scalar-coupled mode theory, which successfully describes the 1D structures, does not apply in 2D.3 To address this, we have developed a self-consistent Green’s function formalism that quantitatively describes the dispersion and lifetimes of the photonic eigenstates of 2D textured waveguides. A 2D, vector coupled mode theory results by applying a simple approximation to our more general model.
© 1999 Optical Society of America
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