Abstract

This paper provides a new practical approximate solution to the radiative transfer equation under a narrow angle approximation with an anisotropic phase function. This assumption is useful for the case of optical and acoustic beam propagation in the ocean and the atmosphere, where particles sizes are much larger than wavelength. The two-scale expansion method that was found useful for statistical moments of wave propagating in continuum is extended to handle a general scattering kernel. Our procedure is applicable to other transport equations encountered in mathematical physics. Possible applications useful for remote sensing are briefly mentioned, and the complexity of computation is discussed.

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