Multipole-Free Fast Inhomogeneous Plane Wave Algorithm
Article first published online: 14 SEP 2007
Copyright 2007 by the American Geophysical Union.
Volume 42, Issue 5, October 2007
How to Cite
2007), Multipole-Free Fast Inhomogeneous Plane Wave Algorithm, Radio Sci., 42, RS5002, doi:10.1029/2007RS003664., and (
- Issue published online: 14 SEP 2007
- Article first published online: 14 SEP 2007
- Manuscript Accepted: 30 JUL 2007
- Manuscript Revised: 9 JUL 2007
- Manuscript Received: 20 MAR 2007
- layered media;
- fast algorithm
 Solving radiation and scattering problems in the vicinity of a half-space or stratified medium with integral equation methods is complicated, and slowed by computation of expensive Sommerfeld integrals. In this paper, a new formulation of the spectral layered media Green's function is presented. It is demonstrated for a simple scattering problem in the new fast algorithm called the Multipole-Free Fast Inhomogeneous Plane Wave Algorithm (MF-FIPWA). MF-FIPWA is shown to scale as (N log N) in memory usage and processing time. Additional advantages include rigorous treatment of reflected contributions, simplicity in design, and mathematical insight into the fast algorithm.