Representation of TEM feidls in gyrotropic media by scalar Hertz potentials
Abstract
In isotopic media every two solutions of the Helmholtz equation are scalar Hertz potentials for an electromagnetic field. The field is found by applying to the potentials the well known differential formulae. The homogeneous Maxwell equations are satisfied. In short, given two scalar Hertz potentials, the corresponding electromagnetic field is determined. Every TEM field in a domain D of a gyrotropic medium is expressed in terms of four analytic functions defined in D (sub zero), which is the projection of D onto the xy plane. The correspondence between a TEM field and the appropriate four analytic functions is unique. However, the scalar Hertz potentials are defined nonuniquely: there exist more than one pair of Hertz potentials corresponding to a given TEM field.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1984
 Bibcode:
 1984STIN...8429034L
 Keywords:

 Electromagnetic Fields;
 KelvinHelmholtz Instability;
 Maxwell Equation;
 Scalars;
 Circular Cylinders;
 Gyrotropism;
 Matrices (Mathematics);
 Permittivity;
 Riemann Manifold;
 Tensors;
 Communications and Radar