Efficient adaptive numerical integration algorithms for the evaluation of surface radiation integrals in the high-frequency regime

Abstract

The possibility of reducing the sampling point density in the numerical evaluation of radiation integrals is discussed by resorting to asymptotic high-frequency technique concepts. It is shown that the numerical evaluation of the radiation integrals becomes computationally more efficient by introducing an adaptive sampling. Using this approach, the number of sampling points is found to be drastically smaller than that resulting from a standard Nyquist sampling rate. Copyright 2011 by the American Geophysical Union.