Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations

Details Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..30..251f&link_type=abstract

Astrophysics and Space Science, vol. 30, Oct. 1974, p. 251-273.

Physics

Optics

1

Atmospheric Scattering, Invariance, Light Scattering, Polarized Light, Radiative Transfer, S Matrix Theory, Anisotropy, Atmospheric Optics, Inhomogeneity, Light Transmission, Mie Scattering, Planetary Atmospheres, Reciprocal Theorems, Symmetry

Scientific paper

Reciprocity and symmetry relationships, representing local invariants for the scattering phase-matrix, are derived for twelve cases of particle assemblies studied by van de Huist (1957) in- cluding situations of scattering in an arbitrary direction, in the near forward and near backward directions. These relations are used to generate corresponding relations representing global invariants for the scattering and transmission matrices of atmospheres consisting of such assemblies. The latter relations are obtained from the matrix integro-differential equations for scattering and transmission; they apply to single scattering, any finite order of scattering, and after an arbitrary cumulation of scattering orders (finite or infinite). Our results are summarized in Tables I and II for general inhomo- geneous atmospheres and for particular inhomogeneous atmospheres that are symmetrical with respect to their central level. The latter case includes homogeneous atmospheres as a special case. The largest set of local relations obtained contains three independent relations (called universal, reversal, exchange) which can further be combined to yield four additional dependent relations. This circumstance hap- pens in three out of the above twelve cases. In the remaining cases fewer relations (both independent and dependent) remain valid. Likewise, a maximal set of three independent global relations is obtained for general inhomogeneous atmospheres; they too can be linearly combined to yield seven other de- pendent relations. For the symmetrically inhomogeneous atmospheres, three independent and seven dependent additional relations are obtained. On the basis of these tables, it becomes a trivial matter to provide the local and global invariants (both the independent and the dependent relations) for any assembly of particles and atmospheric inhomogeneity. A mixture of Rayleigh-Cabannes scattering by anisotropic molecules or extremely small particles and Mie scattering by large isotropic particles is considered for illustration. Lastly, the group properties of these invariants are studied

Affiliated with

Also associated with

No associations

Rating

Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Order-of-scattering of partially polarized radiation in inhomogeneous, anisotropically scattering atmospheres. II - Reciprocity and symmetry relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-791443