Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere

Details Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere Fundamental relationships relevant to the transfer of polarized light in a scattering atmosphere

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...128....1h&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 128, no. 1, Nov. 1983, p. 1-16.

Physics

Optics

137

Atmospheric Optics, Atmospheric Scattering, Planetary Atmospheres, Polarized Light, Radiative Transfer, Elliptical Polarization, Fourier Analysis, Polarization Characteristics, S Matrix Theory

Scientific paper

Exact relationships are established between Stokes parameters and several complex parameters which can be used to describe polarized light. A detailed study is made of the phase matrix, which plays a key role in multiple scattering theories and occurs, for example, as the kernel of the radiative transfer equation for a plane-parallel atmosphere. For various representations of polarized light the nature of the transport equation and several properties of the phase matrix are discussed. Analytical expressions are obtained for the phase matrix and all of its Fourier components by using the so-called addition theorem of generalized spherical functions, which is derived from a similar expression in angular momentum theory.

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