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Optical response of a thin film of spherical particles upon a dielectric substrate: retarded multipolar treatment including multiple reflections

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Abstract

Multipolar expansions were recently used to calculate the optical behavior of a square network of metal spheres sitting upon an infinitely thick dielectric substrate. Here a more realistic substrate of finite thickness is treated, and multiple reflections are taken into account. Retarded field forms are consistently used throughout the treatment for calculating multipole-multipole interactions and scattered fields. Transmission and reflection properties are fully described by 2 × 2 matrices, whose elements provide the optical response as a function of the polarization state. Numerical results are presented in graphic form: They apply to a particular sample consisting of gold particles upon a sapphire substrate.

© 1996 Optical Society of America

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