Coupling and Scattering from Axisymmetric Bodies, Open and Closed: Regularisation Methods

Abstract

An accurate and numerically efficient solution is developed for the scalar wave diffraction problem from an arbitrary shaped body of revolution, either closed or having an aperture. The Dirichlet boundary condition is considered. Based on analytical regularization, the method transforms the standard surface integral equation to an algebraic system that may be truncated to well-conditioned system that produces solutions of prescribed and guaranteed accuracy.