The (quasi)normal natural mode description of the scattering process by dispersive photonic crystals

Bernhard J. Hoenders; Mario Bertolotti

doi:10.1117/12.663720

18 April 2006 The (quasi)normal natural mode description of the scattering process by dispersive photonic crystals

Proceedings Volume 6182, Photonic Crystal Materials and Devices III (i.e. V); 61821F (2006) https://doi.org/10.1117/12.663720
Event: SPIE Photonics Europe, 2006, Strasbourg, France

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.

Citation Download Citation

Bernhard J. Hoenders and 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); https://doi.org/10.1117/12.663720

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