Statistics – Applications
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phdt........13s&link_type=abstract
Ph.D. Thesis California Inst. of Tech., Pasadena.
Statistics
Applications
1
Formalism, Integral Equations, Radiative Transfer, Wave Scattering, Laser Applications, Wave Equations
Scientific paper
A new formalism for partially coherent wave scattering in a random medium is developed. In this formalism the coherent wave is the solution of a phenomenological wave equation, and the mutual coherence function of the wave field satisfies a simple integral equation. Using this formalism, the Peierls equations can be readily derived. A simple problem is solved to find the mutual coherence function produced by a laser beam in the atmosphere. The problem of multiple scattering of nonpolarized light in a planetary body of arbitrary shape illuminated by a parallel beam is formulated using the integral equation approach. The analysis reveals a direct ralation between the microscopic symmetry of the phase function for each scattering event and for the entire planet body, and the intimate connection between these symmetry relationships and the variational principle.
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