2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates

Abstract:

In this paper we consider the 2D time–harmonic Maxwell equations in elliptic coordinates through certain quaternionic perturbed Dirac operator. The main goal is aimed to analyze an electromagnetic Dirichlet problem for a curvilinear polygon with rectifiable boundary in $${\mathbb{R}^2}$$R2. In addition, we provide an integral representation formula for electromagnetic fields that resembles the classical Stratton-Chu formula. The importance of the problem for applications makes it worthy of consideration.

Año de publicación:

2015

Keywords:

• elliptic coordinates
• Maxwell Equations
• Quaternionic analysis

Fuente:

scopus