TITLE:
Theoretical Study of Electromagnetic Wave Propagation: Gaussian Bean Method
AUTHORS:
E. I. Ugwu, J. E. Ekpe, E. Nnaji, E. H. Uguru
KEYWORDS:
Electromagnetic Wave; Wave Equation; Dielectric Medium; Distribution; Gaussian Function; Intensity; Electric Field; Beam Waist; Wave Propagation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10,
October
14,
2013
ABSTRACT: In this work, we present the study of electromagnetic
wave propagation through a medium with a variable dielectric function using the
concept of Gaussian Beam. First of all, we start with wave equation with which we obtain
the solution in terms of the electric field and intensity distributions
approximate to Gaussian Function, . With this, we analyze the dependency of r on Gaussian beam distribution spread, the
distant from the axis at which the intensity of the beam distribution begins to
fall at a given estimate of its peak value. The
influence of the optimum beam waist wo and the beam spread on the intensity distribution will also be analyzed.