Numerical Comparison of Exact, Uniform, and Non-Uniform Asymptotic Solution of the Reduced Wave Equation Near a Caustic

摘要

A numerical comparison of the exact solution, the uniform asymptotic solution, and the non-uniform asymptotic solution of a field that produces a circular caustic is performed. It is seen that the uniform asymptotic solution is accurate even at the caustic for moderate values of ka. Curves and data are given as a function of Ka and distances from the caustic. The asymptotic expressions are derived both from the exact solution and from the physics of the circular caustic. (Author)