Multiple scattering of polarized light in anisotropic plane-parallel media

Transfer of polarized infrared radiation in optically anisotropic media: application to horizontally oriented ice crystals: comment

“…1 Correspondingly, the main equations of the radiative transfer theory, such as the adding/doubling and invariant embedding equations, are substantially modified, as discussed in detail in Ref. 11.…”

Calculation of the amplitude matrix for a nonspherical particle in a fixed orientation

“…1 However, it is often necessary to use a fixed laboratory coordinate system to specify both the directions of the incident and scattered beams and the particle orientation, for example, for solving the vector radiative transfer equation for preferentially oriented nonspherical particles such as hydrometeors and interstellar dust grains. [2][3][4] In this case one has first to determine the illumination and scattering directions with respect to the particle reference frame for a given orientation of the particle relative to the laboratory reference frame, then solve the scattering problem in the particle reference frame, and finally perform the backward transition to the laboratory reference frame. In this paper we shall derive general formulas that describe this procedure and use them along with the T-matrix method to provide benchmark results that could be useful for testing purposes.…”

Vector radiative transfer equation for arbitrarily shaped and arbitrarily oriented particles: a microphysical derivation from statistical electromagnetics

“…Methods for solving the general VRTE are discussed in Ref. 30. Equations ͑101͒ and ͑124͒ become much simpler for macroscopically isotropic and mirror-symmetric scattering media, 23 especially when one resorts to the scalar approximation, 2,6 and have been solved by use of various analytical and numerical techniques.…”