New method for the calculation of light-scattering intensities; application to depolarized scattering from simple fluids

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Abstract
A new method is developed for calculating light-scattering intensities. It is shown how the dielectric constant, and the concept of a ‘primary variable’, whose fluctuations cause the scattering of light, may be built into formal scattering theory. An approximation, the resumed fluctuation expansion, which has some extremely desirable and previously unattainable attributes, is proposed. Using this approximation, an integral equation is derived, through which the light-scattering source may be iterated in powers of a ‘generalized Einstein-Smoluchowski’ source, which is proportional to a non-equilibrium dielectric tensor. To linear order, the theory reproduces the theory of Keyes, Kivelson, and McTague. The theory is analysed to second order, and the intensity of depolarized light scattered from simple fluids, due to non-uniform density fluctuations, is calculated. The calculated intensity is a function of the true dielectric constant, and contains the effect of short-ranged fluid structure on closely spaced multiple-scattering events.