Title :
Mellin transform solution for the static line-source excitation of a dielectric wedge
Author :
Scharstein, Robert W.
Author_Institution :
Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA
fDate :
12/1/1993 12:00:00 AM
Abstract :
An integral transform analysis of the static scattering of the two-dimensional potential radiated by a line source in the vicinity of a penetrable wedge is presented. The Mellin transform is used to derive the exact static solution to Laplace´s equation for the dielectric wedge, in the form of a modal series. The important dielectric edge condition behavior is explicitly contained in this analytic solution
Keywords :
boundary-value problems; electromagnetic wave scattering; transforms; Laplace´s equation; Mellin transform; dielectric edge condition behavior; dielectric wedge; electromagnetic scattering; integral transform analysis; modal series; penetrable wedge; static line-source excitation; static scattering; two-dimensional potential; Boundary conditions; Dielectrics; Electrostatics; Geometry; Helium; Laplace equations; Mathematical analysis; Permittivity; Scattering; Transforms;
Journal_Title :
Antennas and Propagation, IEEE Transactions on