Sensitivity of multiple-scattering inverse transport methods to measurement errors

Inverse multiple-scattering transport methods, derived from the linear Boltzmann equation, are potentially suitable for remote-sensing studies because they do not require measurements within the scattering medium. The methods investigated yield the single-frequency angular redistribution function for a homogeneous one-dimensional slab medium that is uniformly illuminated. Illustrative numerical results for a monodirectional incident beam show that the methods are ill conditioned with respect to simulated measurement errors, with the severity depending strongly on the direction of the incident beam.

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