Complex Coordinate Approaches with Applications to Perfectly Matched and Double Negative Layers

Author(s): 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.

Keywords: 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.



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Complex Coordinate Approaches with Applications to Perfectly Matched and Double Negative Layers







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