Equivalent layers of surface charge, current sheet, and polarization in the eigenfunction expansions of Green's functions in electromagnetic theory
Abstract
The concept of equivalent layers of surface charges, surface current, and surface polarization associated with the discontinuous behavior of the eigenfunction expansion of various Green's functions in electromagnetic theory is discussed. Green's function pertaining to the potential function in electrostatics is considered first; a detailed analysis is then presented of an eigenfunction representation of a typical dyadic Green's function for timevarying harmonic fields. An eigenfunction expansion of a Green's function requires that a point singularity be replaced by an equivalent layer of surface singularity. Since this layered source is not present in the original Green's function, care must be taken when interpreting the results.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 September 1981
 DOI:
 10.1109/TAP.1981.1142660
 Bibcode:
 1981ITAP...29..733T
 Keywords:

 Current Sheets;
 Eigenvalues;
 Electromagnetism;
 Green'S Functions;
 Polarization (Charge Separation);
 Surface Layers;
 Charge Distribution;
 Fourier Series;
 Potential Theory;
 Series Expansion;
 Physics (General)