TITLE:

LIGHT PROPAGATION IN BIOLOGICAL TISSUE (No. 1)

DATE:

Friday, March 21st, 2003

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Arnold D. Kim, Department of Mathematics, Stanford University

ABSTRACT:

Understanding laser light propagation in biological tissue has practical applications to medical imaging, diagnosis and monitoring. The radiative transport equation governs light propagation, scattering and absorption in biological tissue and other random media. In this talk, we discuss a method to solve this equation in a uniformly scattering and absorbing half space containing an absorbing anomoly. This basic problem contains several mathematical challenges also present in practical medical optics problems. To solve it we make use of the general representation formula to derive an integral equation governing the solution. Since the kernel of the integral operator is the half space Green’s function, an intermediate step in our solution is solving the radiative transport equation for the half space Green’s function.

HOST:

Peter Blomgren

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