Accurate evaluation of Sommerfeld integrals using the fast Fourier transform
- 1 March 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 37 (3) , 403-406
- https://doi.org/10.1109/8.18740
Abstract
It is shown that the fast Fourier transform (FFT) combines naturally with Simpson's rule for Sommerfeld-type integral computation. The principal advantage of using the FFT is that a single subroutine call yields a set of sample values of an integral (i.e. the integral for various values of an integrand parameter). Such samples could be useful in themselves. In other applications Sommerfeld integrals represent Green's functions nested within other spatial integrals, so samples from the FFT might be useful in approximating the outernested integral. Several examples are provided to illustrate the process.Keywords
This publication has 1 reference indexed in Scilit:
- An algorithm for the machine calculation of complex Fourier seriesMathematics of Computation, 1965