Novel Theoretical And Numerical Methods For The Computation Of Electromagnetic Fields Due To Current Sources

Abstract

In this dissertation, series expansions are developed for the Incomplete Lipschitz-Hankel integrals (ILHIs) Je₀(a,z) and Ye₀(a,z). These expansions are obtained using the Laplace transform technique together with the theory of contour integration. These special functions are encountered in the solutions for numerous problems in electromagnetics. For example, ILHIs are used in this dissertation to obtain exact, closed-form field expressions for a semi-infinite traveling wave current filament in homogeneous space. They are also used together with the steepest descent technique to obtain expressions for the electromagnetic fields due to a semi-infinite traveling wave current filament above a half space. Superposition of these fields are used to obtain the fields due to a finite length wire carrying a traveling wave current. In addition, the ILHIs are also encountered when Prony's method is used to obtain field expressions for a vertical electric dipole source over earth.