New electrodynamic and electrostatic models with applications to antenna theory, superconductor slots, and lasers
Abstract
The common set of functions used as a basis for the solution to Helmholtz and Laplace's equations is expanded to include solutions which are not found in the handbooks. With this complete set of basis functions of integer indexes a multicentered model is developed using Debyelike potentials for electrodynamics and standard potentials for electrostatics. The resonant modes of the model are the exact solution to a wide variety of thin linear antennas and antennalike structures, narrow linear gaps in superconductors, microscopic linear lasers, and arbitrary linear charge distributions. The model is applied to a linear antenna of largediameter, via Pocklington's and Hallen's integral equation. The nonsinusoidal current of this linear antenna of largediameter is decomposed into idealized components using equal and unequal spacing, and single and many centered linear antennas. Babinet's principal is brought into play to apply the model to gaps in superconductors. The model of a laser is in the microscopic domain, a domain that was not previously explored. The electrostatic model allows the modeling of an arbitrary linear charge distribution between two points.
 Publication:

Ph.D. Thesis
 Pub Date:
 1988
 Bibcode:
 1988PhDT........17E
 Keywords:

 Antenna Design;
 Electrodynamics;
 Electrostatics;
 Laser Applications;
 Mathematical Models;
 Superconductors;
 Charge Distribution;
 Helmholtz Vorticity Equation;
 Laplace Equation;
 Resonance;
 Communications and Radar