Degree Type


Date of Award


Degree Name

Master of Science


Electrical and Computer Engineering


Electrical Engineering

First Advisor

Nicola Bowler


In this paper, an analysis is carried out concerning the behavior of the electric field when a line current is

extracted/injected perpendicularly into a uniaxially anisotropic half-space. Such a solution enables characterization of uniaxially anisotropic materials using alternating current methods. This problem has previously

been solved for the case of an isotropic half space. This paper follows a parallel development to that presented

by Bowler [J. Appl. Phys., 96, 4607-4613, 2004] in which a transverse magnetic potential formulation was

employed to derive an analytic solution for the electric field and alternating current potential drop measured

by a four-point probe in contact with an isotropic half-space conductor. Here, the case when conductivity is

given by a diagonal matrix quantity is treated. This is done by first solving for the electric field in the case of

a single wire, and then using superposition to obtain the electric field on the conductor surface with two wires

representing the current injection/extraction seen in a four-point probe. Finally, an analytical expression for

the potential drop measured between the pick-up pins of the probe is given.


Copyright Owner

Tyler Douglas Antony



File Format


File Size

35 pages