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New High-Order High-Frequency Methods for Computational Electromagnetics

Award Information
Agency: Department of Defense
Branch: Air Force
Contract: F49620-03-C-0040
Agency Tracking Number: F013-0030
Amount: $500,000.00
Phase: Phase II
Program: STTR
Solicitation Topic Code: N/A
Solicitation Number: N/A
Timeline
Solicitation Year: N/A
Award Year: 2003
Award Start Date (Proposal Award Date): N/A
Award End Date (Contract End Date): N/A
Small Business Information
685 Busch Garden Dr.
Pasadena, CA 91105
United States
DUNS: 046409533
HUBZone Owned: No
Woman Owned: No
Socially and Economically Disadvantaged: No
Principal Investigator
 Oscar Bruno
 Vice-President
 (626) 441-2782
 oscar.bruno@mathsys.net
Business Contact
 Marta Kahl
Title: President
Phone: (626) 441-2782
Email: marta.kahl@mathsys.net
Research Institution
N/A
Abstract

The present text proposes development of a high-order, high-frequency simulation infrastructure for the evaluation of radar cross-sections in the high-frequency regime. Relying on newly developed high-frequency integral equation methods, the proposedapproach is entirely rigorous: it accounts fully for all scatterer complexities and all electromagnetic effects, including edges and corners, multiple-scattering, diffraction, caustics, creeping waves, shadowing, penumbrae, etc. Proof-of-conceptcalculations based on these ideas, produced under funding from the Phase I STTR contract F49620-02-C-0006 have demonstrated the feasibility of the proposed approach. For a given scattering configuration (scattering body and incident direction), thecomputation time required by our algorithms to solve the scattering problem at a given frequency and with a prescribed accuracy remains bounded as the frequency grows without bound. That is to say, the proposed methods run in O(1) operations, with aconstant independent of the scatterer size. The Phase II effort proposed in this text will result in efficient computational codes, based on the high-frequency methods described above, that remain applicable and accurate throughout the electromagneticspectrum. Such codes will give rise to significant improvements in the description of high-frequency scattering processes in science and engineering - and they thus carry a substantial potential for commercial impact. As indicated in the AF01T009 topicaldescription, the scattering attributes of actual-size inventory frequently needs to be obtained through high frequency approximations --- the previous versions of which suffer from various shortcomings. The proposed algorithms avoid such shortcomings -which arise from neglect of curvatures, shadow boundaries, diffraction effects, etc - by introducing a paradigm which deals explicitly with multiple scattering and shadow boundaries, and which produces rigorous (convergent) solutions for the integralequations of the problem. The applications of such algorithms are very numerous indeed: they range from remote sensing of vehicles to terrain mapping, antenna design, altimetry and communications. The successful completion of the proposed work will leadto significant improvements in the description of high-frequency scattering processes: an area of great importance for both national security and commercial concerns.

* Information listed above is at the time of submission. *

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