We consider the problem of imaging the optical properties of a highly scattering medium probed by diffuse light. An analytic solution to this problem is derived from the singular value decomposition of the forward-scattering operator, which leads to explicit inversion formulas for the inverse scattering problem with diffusing waves. Computer simulations are used to illustrate these results in model systems.
© 2001 Optical Society of America
(290.0290) Scattering : Scattering
Original Manuscript: June 22, 2000
Revised Manuscript: April 13, 2001
Manuscript Accepted: April 26, 2001
Published: November 1, 2001
John C. Schotland and Vadim A. Markel, "Inverse scattering with diffusing waves," J. Opt. Soc. Am. A 18, 2767-2777 (2001)