Discreteness of optical media and generalized method of integral equations in molecular optics

Gregory I. Surdutovich; Alexandre V. Ghiner

doi:10.1117/12.328286

21 October 1998 Discreteness of optical media and generalized method of integral equations in molecular optics

Gregory I. Surdutovich, Alexandre V. Ghiner

Proceedings Volume 3485, 11th International Vavilov Conference on Nonlinear Optics; (1998) https://doi.org/10.1117/12.328286
Event: Eleventh International Vavilov Conference on Nonlinear Optics, 1997, Novosibirsk, Russian Federation

Abstract

Microscopic symmetry of ordered media (crystals) manifests itself in an anisotropy of the refractive index. Whereas the internal structure of radiators is taken into account by multipolar expansion, neither radiator size nor lattice grain size ever enters into formulas for the refractive index n of a medium. In optics such an approach is usually well-grounded because of the smallness of these sizes compared with the wavelength (lambda) . Thus, according to the classical Lorentz- Lorenz (LL) formula, the optical properties of an isotropic medium depend merely on the product of a density N of the radiators and the polarizability (alpha) of an isolated radiator. Under derivation of LL formula one assumes the well- known generally accepted connection between a local field vector E' which acts on a separate radiator and mean macroscopic (Maxwell) field vector E:vector E' equals vector E + 4(pi) /3 vector P, where vector P is the mean polarization of a medium. We will show that this relation holds true only for a linear isotropic medium in zeroth (in the medium's discrete parameter) approximation and will derive general relation for arbitrary nonlinear and anisotropic medium with account of its discreetness. It quite naturally leads to modification of LL relation as well.

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Gregory I. Surdutovich and Alexandre V. Ghiner "Discreteness of optical media and generalized method of integral equations in molecular optics", Proc. SPIE 3485, 11th International Vavilov Conference on Nonlinear Optics, (21 October 1998); https://doi.org/10.1117/12.328286

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KEYWORDS

Polarizability

Dielectrics

Oscillators

Polarization

Particles

Refractive index

Crystals

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