Cm. Lam et A. Ishimaru, CALCULATION OF MUELLER MATRICES AND POLARIZATION SIGNATURES FOR A SLAB OF RANDOM MEDIUM USING VECTOR RADIATIVE-TRANSFER, IEEE transactions on antennas and propagation, 41(7), 1993, pp. 851-862
The Mueller matrix which characterizes a slab of random medium contain
ing spherical particles is calculated by using the vector radiative tr
ansfer theory. The vector radiative transfer equation is solved for ar
bitrarily polarized incident waves. The background refractive index of
the slab is allowed to be different from the surrounding media. The s
cattering specific intensities for four independent polarized incident
waves are calculated and used to construct the Mueller matrix. The Mu
eller matrix contains multiple scattering due to the randomly distribu
ted particles governed by the vector radiative transfer theory. The ca
lculated Mueller matrices are found to have symmetrical property and t
here are eight nonvanishing matrix elements. Polarization signatures a
re obtained at the backscattering direction from the Mueller matrix of
the reflection side.