17 - Interface Response Function in Layered Photonic Materials

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Akjouj, Abdellatif | Dobrzynski, L. | Lévêque, Gaëtan | El Boudouti, El Houssaine

Edité par HAL CCSD ; Elsevier

International audience. The interface response theory was presented for any composite material in discrete, continuous, and mixed (partly discrete \textendash partly continuous) spaces (see Chapter 1 of Phononics in Interface Transmission Tutorial Book Series). The aim of this chapter is to show how this theory can be used for solving the Maxwell equations in any composite dielectric material. General expressions for the corresponding response functions are given. These results are illustrated by a general application to layered isotropic dielectrics and in particular simple derivations of the response functions for two media separated by an interface, for one dielectric slab sandwiched between two different semiinfinite dielectrics and for an infinite and a semiinfinite layered photonic crystals. The knowledge of the response functions enables us to study all the electromagnetic properties of these different systems. Some applications are given here for the sandwich photons (localized photons within the slab), bulk electromagnetic band for the infinite layered photonic crystal, and localized modes in semiinfinite layered photonic crystal.

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