Monte Carlo Simulation of Emission Frequencies from Partial Frequency Redistribution Functions

Simple and efficient algorithms are presented for randomly selecting photon emission frequencies from a class of partial redistribution functions. These formulae are developed by applying some basic rules of probability theory in particular, Bayes's rule. Theoretical proofs of these formulae are given, and numerical values of the generated frequency distributions are presented to validate the algorithms. These algorithms are intended for Monte Carlo studies of photon diffusion problems. Subject headings: line formation - radiative transfer