Separation of Variables in Electromagnetic Theory
- 1 April 1951
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 22 (4) , 386-389
- https://doi.org/10.1063/1.1699969
Abstract
Separability conditions are obtained for the partial differential equations of electromagnetic theory. Wave guide and antenna problems are expressed in terms of the vector Helmholtz equation, and solutions are indicated by use of the simple method of separation of variables without recourse to Green's functions. It is shown that complete separation occurs only in rectangular coordinates, but that separation of the equation for one component of the vector field occurs in two coordinate systems. With cylindrical or rotational symmetry, separation is possible in eight coordinate systems.This publication has 2 references indexed in Scilit:
- Separable Systems of StackelAnnals of Mathematics, 1934
- Bemerkung über separierbare Systeme in der WellenmechanikMathematische Annalen, 1928