Methods of choosing sample rays in raytracing computations
Abstract
Raytracing computations for calculating the fraction of radiant energy (intercept factor I) transmitted by an optical system are often performed by using the Monte Carlo method, i.e., selection of sample rays at random. However, this is not economical regarding computing time since the error E in I is proportional to N exp 1/2, where N is the number of rays traced. It is found that, in example computations, the selection of sample rays according to a regular grid gives better results. An equation for estimating E in this case is derived on a theoretical basis and agrees with the computations. This predicts E alpha N exp 3/4 for systems where three ray coordinates are needed and E alpha N exp 5/8 where four are required, which is the general case.
 Publication:

Applied Optics
 Pub Date:
 December 1992
 DOI:
 10.1364/AO.31.007277
 Bibcode:
 1992ApOpt..31.7277D
 Keywords:

 Radiation Measurement;
 Ray Tracing;
 Sampling;
 Monte Carlo Method;
 Solar Energy;
 Optics