Computational Electromagnetics
Abstract
Significant progress has been attained in this area: we have developed an algorithm for automatic ansatz generation, and have demonstrated our overall algorithm by obtaining solutions involving tens of ansatz. An addition of Pade approximation has lead to results of machine precision in short computational times. In the last year's work, in particular, multiple scattering algorithms were developed which can compute high-order high frequency solution in 0 (1) operations for configurations giving rise to (a) multiple scattering of fields diffracted at shadow boundaries, as well as (b) multiple scattering withing single non-convex bodies. Very recent results include 0 (1) solvers for (c) three-dimensional problems which can evaluate in a couple of hours, and in single processors, scattering by objects much larger than the largest that could be tackled by other methods, even by means of large supercomputers. In detail, using our high-frequency method we have produced preliminary three-dimensional results for a spherical scatterer of radius $a$. In these preliminary examples we have demonstrated computational times that do not change significantly, with essential fixed accuracies, when the frequency increases.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 2005
- Accession Number
- ADA434075
Entities
People
- Oscar Bruno
Organizations
- California Institute of Technology