Multilevel fast multipole algorithm for general dielectric targets in the presence of a lossy half-space
Article first published online: 7 DEC 2012
Copyright 2001 by the American Geophysical Union.
Volume 36, Issue 6, pages 1271–1285, November-December 2001
How to Cite
2001), Multilevel fast multipole algorithm for general dielectric targets in the presence of a lossy half-space, Radio Sci., 36(6), 1271–1285, doi:10.1029/2000RS002548., , and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 13 JUN 2001
- Manuscript Received: 29 AUG 2000
The multilevel fast multipole algorithm (MLFMA) is extended to the problem of an arbitrarily shaped dielectric target in the presence of a lossy, dispersive half-space. The near MLFMA terms are treated rigorously, via a complex-image-technique-based evaluation of the Sommerfeld integrals inherent to the half-space Green's function. The Green's function components for the far MLFMA terms are evaluated approximately, but accurately, via an asymptotic analysis. In this paper, we detail the scattering formulation and perform a comparison of MLFMA-generated results with those from other, simpler (and less general) models.