Extended boundary condition integral equations for perfectly conducting and dielectric bodies  Formulation and uniqueness
Abstract
The equivalence theorem is used to derive novel generalized boundary condition (GBC) integral equations for the tangential components of the electric and magnetic fields on the interfaces of a finite number of dielectric or conducting scatterers. Closed surface, plane, and line extended boundary conditions (EBC) equivalent to the GBC are introduced. The GBC integral equations can now be replaced by any of these EBC integral equations whose solutions are unique and easy to obtain numerically using the moment method. A perfectly conducting sphere and a dielectric sphere in the electrostatic field of two equal and opposite point charges are presented as simple examples of the general procedure.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 July 1975
 DOI:
 10.1109/TAP.1975.1141100
 Bibcode:
 1975ITAP...23..546A
 Keywords:

 Boundary Conditions;
 Boundary Value Problems;
 Dielectrics;
 Electric Conductors;
 Electromagnetic Fields;
 Electromagnetic Scattering;
 Integral Equations;
 Electrostatics;
 Helmholtz Equations;
 Poynting Theorem;
 SolidSolid Interfaces;
 Spheres;
 Uniqueness Theorem;
 Communications and Radar