Title :
Comparison of Lorentz and Coulomb gauge formulations for transverse-electric wave scattering by two-dimensional surfaces of arbitrary shape in the presence of a circular cylinder
Author :
Michalski, Krzysztof A. ; Nevels, Robert D. ; Zheng, Dalian
Author_Institution :
Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA
fDate :
5/1/1990 12:00:00 AM
Abstract :
Two forms of the so-called mixed-potential electric field integral equation (MPIE) are developed for two-dimensional perfectly conducting (PC) surfaces of arbitrary shape in the presence of an infinite PC cylinder of circular cross section subject to transverse-electric (TE) excitation. One of the MPIEs is based on the Coulomb gauge; the other uses the Lorentz gauge. In either case, the effect of the cylinder is incorporated in the integral equation by means of the appropriate Green´s functions, leaving the current distribution on the arbitrary surface as the only unknown. The Green´s functions are derived by the eigenfunction expansion technique. An existing well-established moment method procedure is adapted to solve both forms of the MPIE numerically. Computed results are presented for several cases of interest, and the relative merits of the Coulomb and Lorentz gauge MPIEs are discussed
Keywords :
Green´s function methods; eigenvalues and eigenfunctions; electromagnetic wave scattering; integral equations; Coulomb gauge; Green´s functions; Lorentz gauge; MPIE; TE excitation; arbitrary shape; circular cylinder; current distribution; eigenfunction expansion technique; mixed-potential electric field integral equation; moment method; perfectly conducting surfaces; transverse-electric wave scattering; two-dimensional surfaces; Current distribution; Eigenvalues and eigenfunctions; Electromagnetics; Engine cylinders; Integral equations; Moment methods; Scattering; Shape; Surface waves; Tellurium;
Journal_Title :
Antennas and Propagation, IEEE Transactions on