Abstract

A passive ir detection method based on the monochromatic radiative transfer equation is proposed to probe both a homogeneous and a nonhomogeneous medium for the simultaneous determination of temperature and species concentrations. The problem of determining these thermodynamic variables and their sensitivities is solved by a ratio technique for a homogeneous medium. The solution requires inversion of a linear matrix equation when there are more than one absorbing species at the observing frequencies. A generalized Abel inversion method utilizing multifrequency multiangle scannings is developed to solve for the non-homogeneous 2-D distribution of these parameters. Two special cases which assume combinations of axisymmetric and asymmetric distributions of the unknown parameters are also treated.

© 1977 Optical Society of America

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