Research Seminar in

continues to meet in G5 (Rolla Building)

on Tuesday, March 6, 2001, 3:30 pm.

All interested faculty and students are invited to attend.

Don Mueller (UMR, Mechanical Engineering Department)
will talk on  
The Integral Transform Method applied to
Multidimensional Radiative Transfer.

This talk will consider the physical situation of three-dimensional radiative transfer in a multiple-scattering medium exposed to spatially varying radiation. The solution procedure used is the integral transform method. The first step in this process is the application of an integral transform to reduce the three-dimensional transport equation to a one-dimensional form. Next, a procedure developed by V.A. Ambarzumian is applied to convert a Fredholm integral equation of the second kind for the source function to a nonlinear integral equation for the reflection function. The nonlinear integral equation is more suitable for numerical evaluation. The resulting equation requires integration over the polar and azimuthal angles; hence, the equation is said to be in a double-integral form. Finally, spatially varying results are constructed with an inverse transform and a procedure to obtain asymptotic solutions is outlined.