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Thermal microwave emission from a random inhomogeneous layer over a homogeneous medium using the method of invariant imbedding
Author(s) -
Tsang L.,
Kong J. A.
Publication year - 1977
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs012i002p00185
Subject(s) - radiative transfer , scattering , slab , boundary value problem , physics , mathematical analysis , microwave , polarization (electrochemistry) , ordinary differential equation , computational physics , differential equation , mathematics , optics , quantum mechanics , chemistry , geophysics
The radiative transfer approach is used to study the thermal microwave emission from an inhomogeneous slab of random medium bounded by different dielectrics on both sides. The random medium can have nonuniform absorption, scattering and temperature profiles. With the method of invariant imbedding, the boundary value problem of the radiative transfer equations is cast into an initial value problem starting at zero slab thickness. The invariant imbedding equations so obtained are in the form of first‐order ordinary differential equations and incorporate the boundary conditions. Random fluctuations of a structure both laminar and with three‐dimensional variations are considered and illustrated. The frequency, angular, and polarization dependences of brightness temperatures are discussed.