TY - JOUR
T1 - 2D Quaternionic Time-Harmonic Maxwell System in Elliptic Coordinates
AU - Abreu–Blaya, Ricardo
AU - Ávila–Ávila, Rafael
AU - Bory–Reyes, Juan
AU - Rodríguez–Dagnino, Ramón M.
N1 - Publisher Copyright:
© 2014, Springer Basel.
PY - 2015/6/28
Y1 - 2015/6/28
N2 - 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.
AB - 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.
KW - Maxwell equations
KW - Quaternionic analysis
KW - elliptic coordinates
UR - http://www.scopus.com/inward/record.url?scp=84929953771&partnerID=8YFLogxK
U2 - 10.1007/s00006-014-0485-x
DO - 10.1007/s00006-014-0485-x
M3 - Artículo
SN - 0188-7009
VL - 25
SP - 255
EP - 270
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 2
ER -