Material Realizations of Perfect Electric Conductor Objects
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Material Realizations of Perfect Electric Conductor ObjectsAbstract
This article discusses the distinction between interfaces and boundaries in electromagnetics. Boundary conditions can be used to narrow down the computation domain of complex problems. However, terminating the space by a boundary condition is an approximation in real-world situations where fields penetrate across interfaces. To make this approximation accurate, the material parameters need to have a very strong contrast between the materials on the adjacent sides of the interface. In this article, the question is addressed how extreme the permittivity and permeability have to be in order to reasonably model a surface as a perfect electric conductor (PEC) boundary. It is argued that in addition to the large value of the permittivity, also a very small magnitude of the permeability is necessary in order to speed up the convergence of a material response towards the ideal PEC case.
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