Abstract

A photoconductor's mobility is a measure of the speed at which electrons migrate through the material under the influence of an electric field. The mobility determines how long a packet of charge takes to go through the photoconductor. It also determines how much and in what manner the E-field changes during the packet transit. The problem in which we are interested is inferring the mobility of a photoconductor from time-of-f light measurements, that is, from measurements of the current produced per unit time by a known charge packet. Mathematically, the problem is an initial-boundary value problem for a nonlinear, non-local, hyperbolic conservation law that characterizes the E-field in the photoconductor. In this paper, we discuss the mathematical formulation of this problem, its solution using the method of characteristics, and the application of the solution to the problem of inferring mobilities.

Library of Congress Subject Headings

Photoconductivity--Mathematical models; Electron transport--Mathematical models; Electric conductors--Mathematical models

Publication Date

8-12-2005

Document Type

Thesis

Department, Program, or Center

School of Mathematical Sciences (COS)

Advisor

Bautista, Maurino

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QC612.P5 P36 2005

Campus

RIT – Main Campus

Download

Share

COinS