Study of the impact of dielectric constant perturbation on electromagnetic wave propagation through material medium: MathCAD solution

Abstract

We present the study of dielectric constant and its influence on wave propagation through an inhomogeneous material medium via mathcard approach. Mathcard was used to solve numerically the wave equation involving a perturbation in term of dielectric constant  imposed on scalar wave equation.  The equation was reduced to a form suitable for numerical solution using mathcard on which we applied various values of dielectric constant perturbation for three regions or electromagnetic spectrum VIS UV, optical near infrared region. The correlation between the field profile and the propagation was analyzed.

Keyword: dielectric constant, perturbation, numerical solution, mathcard, scalar wave equation, electromagnetic spectrum, correlation, propagation distant, material medium.