Numerical study of signal propagation in corrugated coaxial cables

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• 作者：Jichun Li^a ; ^{jichun.li@unlv.edu" class="auth_mail" title="E-mail the corresponding author} ; Eric A. Machorro^b ; ^{MachorEA@nv.doe.gov" class="auth_mail" title="E-mail the corresponding author} ; Sidney Shields^a ; ^{shields3@unlv.nevada.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Maxwell&rsquo ; s equations ; FDTD method ; Discontinuous Galerkin method ; Coaxial cable
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：230-243
• 全文大小：3427 K

文摘

This paper is concerned with high-fidelity modeling of signal propagation in corrugated coaxial cables. Taking advantage of the axisymmetry, we reduce the 3-D problem to a 2-D problem by solving a time dependent Maxwell’s equations in cylindrical coordinates. We develop a nodal discontinuous Galerkin method for solving our model equations. Stability and error analysis are proved for the semi-discrete scheme. Extensive numerical results are provided to demonstrate that our algorithm not only converges as our theoretical analysis predicts, but also is very effective in solving various signal propagation problems in practical corrugated coaxial cables.