Abstract

We consider the problem of obtaining, from monostatic lidar measurements, the concentration profile for a medium of known scattering properties. Invariant imbedding methods are applied to the two-stream approximation to the radiative transfer equation in one dimension, to obtain a nonlinear integrodifferential equation that takes account of multiple scattering events, and whose solution yields the desired profile. A discretization scheme for this equation is presented, along with results from using it to solve two sample problems. The stability of this inversion scheme in the face of noisy signals is also explored.

© 1989 Optical Society of America

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