Premium
The current source‐function technique solution of electromagnetic scattering from a half plane
Author(s) -
Hanson Donald F.,
Mayes Paul E.
Publication year - 1978
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs013i001p00049
Subject(s) - integral equation , electric field integral equation , mathematical analysis , integro differential equation , green's function for the three variable laplace equation , mathematics , plane wave , scattering , current (fluid) , scalar (mathematics) , plane (geometry) , scalar field , electromagnetic field , summation equation , differential equation , field (mathematics) , physics , laplace's equation , classical mechanics , first order partial differential equation , optics , geometry , quantum mechanics , thermodynamics , pure mathematics
Integral equations for electromagnetic scattering problems have usually been based on procedures attributed to Pocklington or Hallén. Integral equations for the unknown induced sources are obtained after utilizing the vector and scalar potentials as an intermediary to relate the fields and currents. This paper utilizes an alternative field‐source relationship to obtain an integral equation which retains the integral operator with the simple kernel of Hallén's equation as well as the simple forcing function of Pocklington's equation. Further benefits of this formulation are yet to be determined. The unknown function in the integral equation is called the current source‐function since it is the forcing function in an inhomogeneous differential equation for the current induced on the scatterer. The purpose of the work presented here is to develop further this new technique by applying it to a classical problem. Hence, the solution for the current induced on a perfectly conducting half‐plane by a plane‐wave H ‐polarized incident field is developed.