High Frequency Electromagnetic Propagation/Scattering Codes
Abstract
Whenever band-limited signals are measured and generated, different distributions of a fixed number of receivers and transducers lead to very different resolutions. A closely related set of issues is encountered in the numerical solution of scattering problems; given a scatterer, one would like to find nodes on its surface leading to most efficient discretizations. During Phase 1 of the STTR project F49629-97-C-0052, we discovered (somewhat serendipitously) that whenever band-limited signals are to be discretized, measured, or generated, the construction of optimal (in a very strong sense) configurations of nodes is a tractable problem. When the nodes are to located on a line or an a disk in R2, the solution is a fairly straightforward consequence of classical results obtained by Slepian and his collaborators more than 30 years ago. The required numerical tools are quite efficient; the resulting discretizations are a dramatic improvement over the ones currently employed. Construction of optical discretizations of more complicated regions requires additional mathematical apparatus; such apparatus has been largely (though by no means completely) designed. Unfortunately, the numerical tools we have constructed are quite inefficient in this environment, which limits the size of regions on which were are currently able to treat effectively. We have applied for the Phase 2 of the STTR project to further develop such analytical and numerical tools, and to apply them both in the engineering and numerical environments.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 1998
- Accession Number
- ADA350408
Entities
People
- Paolo Barbano
- Vladimir Rokhlin