Numerical Implementation of Huygens Principle for Scattering from a Smooth Ideal Surface

Abstract

In 1678 Huygens formulated a principle postulating that each point on a wave front acts as a point source emitting a spherical wave which travels with a local velocity. The field at a given point some time later is then the sum of the fields of each of these point sources [1]. In this article a numerical method is presented for 2D problems of sound propagation and scattering, conforming that physical assumptions.