Radiance backscattered by a strongly scattering medium in the high spatial frequency limit
Abstract
We study the radiative transfer of a spatially modulated plane wave incident on a half-space composed of a uniformly scattering and absorbing medium. For spatial frequencies that are large compared to the scattering coefficient, we find that first-order scattering governs the leading behavior of the radiance backscattered by the medium. The first-order scattering approximation reveals a specific curve on the backscattered hemisphere where the radiance is concentrated. Along this curve, the radiance assumes a particularly simple expression that is directly proportional to the phase function. These results are inherent to the radiative transfer equation at large spatial frequency and do not have a strong dependence on any particular optical property. Consequently, these results provide the means by which spatial frequency domain imaging technologies can directly measure the phase function of a sample. Numerical simulations using the discrete ordinate method along with the source integration interpolation method validate these theoretical findings.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 13, 2022
- Source ID
- 10.1364/josaa.462683
Entities
People
- Arnold D. Kim
- Boaz Ilan
- Vasan Venugopalan
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- University of California
- University of California, Irvine