On a new form of the transfer equation with applications to multiple scattering of polarized light

Physics

Scientific paper

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Light Scattering, Optical Transfer Function, Polarized Light, Green'S Functions, Radiation Distribution, Radiative Transfer

Scientific paper

A new equivalent Q-form of the stationary transfer equation for polarized light in a plane-parallel medium is introduced, in which the intensity vector of the radiation field is equated to an angular integral of its spatial derivative. Explicit expressions for the integral kernel are derived, which diverge in the case of conservative scattering. Consideration is given to the use of the Q-form equation in radiative transfer problems in atmospheres with internal sources proportional to integer powers of the optical depth is demonstrated. The Q-form transfer equations are used to derive a set of nonlinear integral relations for Green's function matrices, including a new nonlinear equation which relates the Green's function matrix of a finite homogeneous medium to its surface values.

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