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. © 1989 SPIE.
R. A. Anderson, "The Matrix Description Of Radiometric Quantities," Proceedings of SPIE - The International Society for Optical Engineering, vol. 1166, pp. 143 - 153, Society of Photo-optical Instrumentation Engineers, Jan 1990.
The definitive version is available at https://doi.org/10.1117/12.962886
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25 Jan 1990