Authors: Ozlem Ozgun and Mustafa Kuzuoglu
Source: FERMAT, Volume 18, Article 2, Nov.-Dec., 2016
Abstract: This paper presents a review of complex coordinate approaches used in electromagnetics, which are based on extending the real coordinate space to a complex coordinate space. After a general discussion of methods used in the literature, two special problems are discussed in detail: non-Maxwellian perfectly matched layer (PML) designs in the context of finite element method, and perfectly matched double negative (DNG) layer design. These are supported by some numerical simulations.
Index Terms: Complex coordinate, complex space, complex transformation, complex stretching, complex point-source, complex beam, complex ray, perfectly matched layer, double negative layer, metamaterial, transformation electromagnetics, transformation optics, anisotropic medium, transformation medium, electromagnetic scattering and radiation, computational magnetics, finite element method.
View PDF
Complex Coordinate Approaches with Applications to Perfectly Matched and Double Negative Layers