Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section |
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| Institution: | 1. INRIA Rocquencourt, POems, domaine de Voluceau, 78153 Le Chesnay, France;2. CEA, LIST, 91191 Gif-sur-Yvette cedex, France;1. Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen, 518055, PR China;2. College of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, PR China;3. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China;1. Department of Electronic Engineering, Universidad de Sevilla, Descubrimientos s/n, 41092 Sevilla, Spain;2. Department of Electrical Engineering, Universidad de Sevilla, Descubrimientos s/n, 41092 Sevilla, Spain;1. School of Science, Northwestern Polytechnical University, Xi''an, Shaanxi 710072, PR China;2. College of Science, Chang''an University, Xi''an, Shaanxi 710064, PR China;1. Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266580, PR China;2. Department of Mathematics, East China Normal University, Shanghai 200062, PR China;3. Laboratório Nacional de Computação Científica, MCTI Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil |
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| Abstract: | In this work, we focus on the time-domain simulation of the propagation of electromagnetic waves in non-homogeneous lossy coaxial cables. The full 3D Maxwell equations, that described the propagation of current and electric potential in such cables, are classically not tackled directly, but instead a 1D scalar model known as the telegraphist's model is used. We aim at justifying, by means of asymptotic analysis, a time-domain “homogenized” telegraphist's model. This model, which includes a nonlocal in time operator, is obtained via asymptotic analysis, for a lossy coaxial cable whose cross section is not homogeneous. |
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| Keywords: | Coaxial cables Telegraphist's model Asymptotic analysis Maxwell equations |
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