Electromagnetic wave propagation through inhomogeneous material layers

Abstract

We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\mu (\mathbf{r})$ and permittivity to study the wave propagation. The general form of the wave equation is derived and by virtue of some physical assumptions, including $\mu$ and $\epsilon$ as functions of $z,$ the equation has been simplified. Finally by introducing a smooth step dielectric variable we solve the wave equation in the corresponding medium which is in conform with the well known results. Exact double-layer solution in analytic form has been given in terms of the Heun functions.

8 pages, 2 figures, final version, accepted for publication in Journal of Electromagnetic Waves and Applications

References in corpus (1)

• Continuous dielectric permittivity I: Specific features of the dielectric continuum solvation model with a position-dependent permittivity function

Cited by in corpus (6)

• Quantum harmonic oscillator with time dependent mass
• Sequences of Exact Analytical Solutions for Plane-Waves in Graded Media
• Optical solitons in curved spacetime
• Optical properties of inhomogeneous metallic hydrogen plasmas
• Multipurpose S-shaped solvable profiles of the refractive index: application to modeling of antireflection layers and quasi-crystals
• A new matrix representation of the Maxwell equations based on the Riemann-Silberstein-Weber vector for a linear inhomogeneous medium