Computational methods based on partial
differential equations have recently been applied to
geometrical optics problems instead of the
traditional ray tracing.
These new methods have a number
of advantages but typically exhibit difficulties with linear superposition of
waves. In this talk we introduce a new partial differential
technique based on the segment projection method in phase space.
The superposition problem is perfectly resolved and so is the approximation
of amplitudes in the neighborhood of caustics. The computational complexity
is of the same order as that of ray tracing. The new algorithm is
described and a number of computational examples are given including a
simulation of wave guides.
Copyright. All Rights Reserved.