Title :
Reduction of surface integrals to contour integrals
Author :
Gordon, William B. ; Bilow, Henry J.
Author_Institution :
SFA, Inc, Rockville, MD, USA
fDate :
3/1/2002 12:00:00 AM
Abstract :
The closed-form reduction of surface integrals to contour integrals has potential applications to the numerical solution of scattering problems. The standard mathematical technique for the reduction of a general surface integral requires the solution of a partial differential equation of the Poisson type. In this paper, we show how the reduction can be accomplished by calculating an indefinite integral of type ∫ f (t) dt, where f = f (t) is a known function in a single variable t
Keywords :
Poisson equation; electromagnetic wave scattering; integral equations; partial differential equations; EM scattering problems solution; Poisson type partial differential equation; closed-form reduction; computational efficiency; contour integrals; general surface integral; indefinite integral; moment method; numerical solution; surface scattering integrals; vector decomposition; Closed-form solution; Integral equations; Laboratories; Mathematics; Moment methods; Numerical analysis; Optical scattering; Partial differential equations; Physical optics; Radar scattering;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
