Timedependent radiative transfer and pulse evolution
Abstract
The timedependent radiative transfer (TDRT) equation for an absorbing and scattering medium is recast as an evolution equation similar to the global formulation of Preisendorfer (1965), which can be written compactly in the Dirac operator notation. The global evolution operator formulation of TDRT is a convenient starting point for numerical schemes of solving the equation. Here, a realspace finitedifference algorithm is developed which is characterized by unconditional stability and flexibility in choosing a spatial interpolation algorithm that maintains consistency. The scheme is modified to account for sources of radiant energy located within the medium, and an algorithm is presented to include reflections from surfaces within the medium.
 Publication:

Journal of the Optical Society of America A
 Pub Date:
 February 1989
 DOI:
 10.1364/JOSAA.6.000280
 Bibcode:
 1989JOSAA...6..280T
 Keywords:

 Light Scattering;
 Pulsed Lasers;
 Radiative Transfer;
 Time Dependence;
 Algorithms;
 Finite Difference Theory;
 Interpolation;
 Maxwell Equation;
 Thermodynamics and Statistical Physics;
 PULSES;
 RADIATIVE TRANSFER