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Scattering problems are important in describing light propagation in wideranging media such as the atmosphere, colloidal solutions, metamaterials, glassceramic composites, transparent polycrystalline ceramics, and surfaces. TheRayleigh Gans Debye (RGD) approximation has enjoyed great success in describinga wide range of scattering phenomena. We derive a generalized RGD formulationfrom the perturbation of Maxwell equations. In contrast to most treatments ofRGD scattering, our formulation can model any soft scattering phenomena inlinear media, including scattering by stochastic process, lossy media, and byanisotropic inhomogeneities occurring at multiple length scales. Ourfirst-principles derivation makes explicit underlying assumptions and providesjumping off points for more general treatments. The derivation also facilitatesa deeper understanding of soft scattering. It is demonstrated that sources ofscattering are not interfaces as is often presumed, but excess acceleratingcharges emitting uncompensated radiation. Approximations to the equations arealso presented and discussed. For example, the scattering coefficient in thelarge size RGD limit is shown to be proportional to the correlation length andthe variance of a projected phase shift.

First principles derivation of a Rayleigh Gans Debye model for scattering from anisotropic inhomogeneities