18 April 2006 The (quasi)normal natural mode description of the scattering process by dispersive photonic crystals
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Abstract
A scattering theory for finite photonic crystals in terms of the natural modes of the scatterer is developed. This theory generalizes the classical Hilbert-Schmidt type of bilinear expansions of the propagator to a bilinear expansion into natural modes. It is shown that the Sturm-Liouville type of expansions for dispersive media differs considerably from those for non-dispersive media, they are e.g. overcomplete.
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Bernhard J. Hoenders, Bernhard J. Hoenders, Mario Bertolotti, Mario Bertolotti, } "The (quasi)normal natural mode description of the scattering process by dispersive photonic crystals", Proc. SPIE 6182, Photonic Crystal Materials and Devices III (i.e. V), 61821F (18 April 2006); doi: 10.1117/12.663720; https://doi.org/10.1117/12.663720
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