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We consider the inverse scattering problem for the radiative transport equation. We show that the linearized form of this problem can be formulated in terms of the inversion of a suitably definedâ€¦ (More)

Abstract We report a numerical investigation of surface plasmon (SP) propagation in ordered and disordered linear chains of metal nanospheres. In our simulations, SPs are excited at one end of aâ€¦ (More)

- Vadim A. Markel, John C. Schotland
- Journal of the Optical Society of America. Aâ€¦
- 2002

We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. The role of boundary conditions inâ€¦ (More)

A novel method for solving the linear radiative transport equation (RTE) in a three-dimensional homogeneous medium is proposed and illustrated with numerical examples. The method can be used with anâ€¦ (More)

- Vadim A. Markel, J C Schotland
- Journal of the Optical Society of America. Aâ€¦
- 2001

We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. Inversion formulas based on theâ€¦ (More)

- Vadim A. Markel, Joseph A. O'Sullivan, John C. Schotland
- Journal of the Optical Society of America. Aâ€¦
- 2003

We continue our study of the inverse scattering problem for diffuse light. In contrast to our earlier work, in which we considered the linear inverse problem, we now consider the nonlinear problem.â€¦ (More)

- Vadim A. Markel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

When new composite optical materials are developed experimentally or studied in numerical simulations, it is essential to have a set of fundamental constraints that the optical constants of suchâ€¦ (More)

- Lucia Florescu, John C. Schotland, Vadim A. Markel
- CLEO/Europe - EQEC 2009 - European Conference onâ€¦
- 2007

We address the problem of three-dimensional optical imaging of mesoscopic systems. These are systems of intermediate optical thickness, where the photon mean free path is of the order of the systemâ€¦ (More)

- P. S. Carney, Vadim A. Markel, J C Schotland
- Physical review letters
- 2001

We investigate the near-field inverse scattering problem with evanescent waves. An analytic solution to this problem within the weak-scattering approximation is used to show that the usual Rayleighâ€¦ (More)

- Vadim A. Markel
- 1995

The general properties of antisymmetrical solutions of the coupled-dipole equation are studied. This equation is used to describe the interaction of a cluster of small particles acting as elementaryâ€¦ (More)