Solution of wave diffraction problems by the method of continued boundary conditions

Abstract

Numerical solution of three-dimensional diffraction problems by the method of continued boundary conditions, which is known to be effective in the case of two-dimensional problems, is discussed. The basic idea of the method is that the boundary condition is imposed at a certain sufficiently small distance from the impedance surface that produces the diffraction field. This procedure reduces the boundary-value problem to the Fredholm integral equation of the first or second kind with a smooth kernel. Results are reported that show how to apply the MCBC most efficiently, depending on particular requirements regarding the accuracy of the solution and number of calculations. Examples illustrating the high efficiency of the approach are presented.