Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2005-01-25
2005-01-25
Frejd, Russell (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C703S013000
Reexamination Certificate
active
06847925
ABSTRACT:
A computer program product, an apparatus, and a method for modeling equivalent surface sources on a closed, arbitrarily shaped object that result from the imposition of an arbitrary time-harmonic incident field (e.g., a radar wave) are provided. An object divided into by a plurality of patches302and parameters for the incident field and the properties of the object304are provided to the system. Next, the system produces a discretized representation of a well-conditioned boundary integral equation in the form of a well-conditioned matrix equation, modeling the interaction between the incident field and the object306. The well-conditioned linear system is solved numerically to determine equivalent surface sources on the object308. The equivalent sources may then be used to determine electromagnetic fields resulting therefrom310. The invention provides improved computational efficiency as well as increased modeling accuracy by effectively reducing the numerical precision necessary.
REFERENCES:
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Michielssen E, et al., “Recent developments in fast-multipole based frequency and time domain solvers” MMET Conference Proc. 1998 Intern'l Conference on Mathematical Methods in Electromagnetic Theory. MMET 98 (Cat No. 98EX114), pp. 92-97, vol. 1, XP002216591.
Song, J.M. et al., “Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering” Microwave and Optical Technology Letters, Sep. 1995, USA, vol. 10, No. 1, pp. 14-19, XP008009276.
Contopanagos Harry F.
Ottusch John Jacob
Rokhlin Vladimir
Visher John F.
Wandzura Stephen M.
Frejd Russell
HRL Laboratories LLC
Tope-McKay & Associates
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