A novel multilevel algorithm to analyze scattering from dielectric random rough surfaces is presented. This technique, termed the steepest-descent fast-multipole method, exploits the quasi-planar nature of dielectric rough surfaces to expedite the iterative solution of the pertinent integral equation. A combination of the fast-multipole method and Sommerfeld steepest-descent-path integral representations is used to efficiently compute electric and magnetic fields that are due to source distributions residing on the rough surface. The CPU time and memory requirements of the technique scale linearly with problem size, thereby permitting the rapid analysis of scattering by large dielectric surfaces and permitting Monte Carlo simulations with realistic computing resources. Numerical results are presented to demonstrate the efficacy of the steepest-decent fast-multipole method.
© 1998 Optical Society of America
Original Manuscript: July 11, 1997
Revised Manuscript: January 5, 1998
Manuscript Accepted: February 19, 1998
Published: July 1, 1998
Vikram Jandhyala, Balasubramaniam Shanker, Eric Michielssen, and Weng C. Chew, "Fast algorithm for the analysis of scattering by dielectric rough surfaces," J. Opt. Soc. Am. A 15, 1877-1885 (1998)