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The Matrix Description Of Radiometric Quantities

The impetus for this paper was to assist investigators not familiar with radiometry theory. Many times they apply a scalar theory to scattering of polarized light from non-depolarizing targets. Also some investigators erroneously apply a combined scalar-vector theory since the correct vector-matrix approach has not been developed in the literature. The classical theory used by many investigators was given by Nicodemus, et al. and this theory will be modified in this paper. When incident polarized radiation is incident upon a target it is represented by a Stoke's vector and the interaction with the non-depolarizing surface is given by the (4x4) reflectance Mueller matrix, the scattered light is polarized and is a Stoke's vector. The vector-matrix theory is applied to the various geometries given by Nicodemus and the various types of reflectance matrices are defined in terms of the bidirectional reflectance matrix and the BRDF matrix. These results are presented in a tabular form.