PDE techniques for solving the problem of radar scattering by a body of revolution

Author

Gordon, Richard K. ; Mittra, Raj

Author_Institution

Dept. of Electr. Eng., Mississippi Univ., MS, USA

Volume

79

Issue

10

fYear

1991

fDate

10/1/1991 12:00:00 AM

Firstpage

1449

Lastpage

1458

Abstract

The authors discuss two partial differential equation (PDE) techniques, namely the finite difference (FD) method and the finite element method (FEM), for solving the problem of radar scattering by a body of revolution (BOR). The formulation of the BOR problem is based upon the use of the coupled azimuthal potentials (CAPs), introduced by M.A. Morgan et al. (1977), that allow one to reduce the vector field problem to the solution of two coupled scalar wave equations. An approach to FD/FEM mesh truncation is developed on the basis of a multipole representation for the CAPs in the asymptotic region. Numerical results are presented for some representative geometries to illustrate the application of the PDE methods and some observations regarding the comparative performance of the two methods are included

Keywords

difference equations; electromagnetic wave scattering; finite element analysis; radar theory; PDE techniques; asymptotic region; body of revolution; coupled azimuthal potentials; coupled scalar wave equations; finite difference method; finite element method; mesh truncation; multipole representation; partial differential equation; radar scattering; vector field problem; Boundary conditions; Differential equations; Electromagnetic scattering; Finite difference methods; Finite element methods; Integral equations; Partial differential equations; Radar scattering; Shape; Sparse matrices;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.104220

Filename

104220