The Algorithms for the Ray Tracing Based on the Analytical Solutions

Abstract

We consider the problems of ray tracing faced when calculating the parameters electromagnetic field in ray approximation. The Shooting and Bouncing Rays (SBR) model is characterized briefly and the disadvantages of its software implementations are specified. The alternative model for ray tracing at flat obstructions is presented using the analytical solutions obtained by means of analytic geometry. The introduced model allows us to avoid the redundant computations that the SBR method requires and, therefore, we can reduce time needed for the tracing tasks solution. The new algorithms for ray tracing after reflection and diffraction are stated and the possibility of their software support studied.