Numerical study of signal propagation in corrugated coaxial cables

Li, Jichun; Machorro, Eric A.; Shields, Sidney

doi:10.1016/j.cam.2016.07.003

Title: Numerical study of signal propagation in corrugated coaxial cables

Abstract

Our article focuses on high-fidelity modeling of signal propagation in corrugated coaxial cables. Taking advantage of the axisymmetry, the authors reduce the 3-D problem to a 2-D problem by solving time-dependent Maxwell's equations in cylindrical coordinates.They then develop a nodal discontinuous Galerkin method for solving their model equations. We prove stability and error analysis for the semi-discrete scheme. We we present our numerical results, we demonstrate that our algorithm not only converges as our theoretical analysis predicts, but it is also very effective in solving a variety of signal propagation problems in practical corrugated coaxial cables.

Authors:: Li, Jichun; Machorro, Eric A.; Shields, Sidney

Publication Date:: Sun Jan 01 00:00:00 EST 2017

Research Org.:: National Security Technologies, LLC. (NSTec), Las Vegas, NV (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation; National Science Foundation (NSF)

OSTI Identifier:: 1755280

Alternate Identifier(s):: OSTI ID: 1329716; OSTI ID: 1358865

Report Number(s):: DOE/NV/25946-2731
Journal ID: ISSN 0377-0427; S0377042716303156; PII: S0377042716303156

Grant/Contract Number:: AC52-06NA25946; DMS-1416742

Resource Type:: Published Article

Journal Name:: Journal of Computational and Applied Mathematics

Additional Journal Information:: Journal Name: Journal of Computational and Applied Mathematics Journal Volume: 309 Journal Issue: C; Journal ID: ISSN 0377-0427

Publisher:: Elsevier

Country of Publication:: Belgium

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; Maxwell's equations; FDTD method; nodal discontinuous Galerkin method; coaxial cable; high-fidelity; axisymmetry; cylindrical coordinates; signal propagation

Citation Formats


                    Li, Jichun, Machorro, Eric A., and Shields, Sidney. Numerical study of signal propagation in corrugated coaxial cables.  Belgium: N. p., 2017. 
Web.  doi:10.1016/j.cam.2016.07.003.

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                    Li, Jichun, Machorro, Eric A., & Shields, Sidney. Numerical study of signal propagation in corrugated coaxial cables.  Belgium.  https://doi.org/10.1016/j.cam.2016.07.003

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                    Li, Jichun, Machorro, Eric A., and Shields, Sidney. Sun .  
"Numerical study of signal propagation in corrugated coaxial cables".  Belgium.  https://doi.org/10.1016/j.cam.2016.07.003.

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@article{osti_1755280,

  title        = {Numerical study of signal propagation in corrugated coaxial cables},

  author       = {Li, Jichun and Machorro, Eric A. and Shields, Sidney},

  abstractNote = {Our article focuses on high-fidelity modeling of signal propagation in corrugated coaxial cables. Taking advantage of the axisymmetry, the authors reduce the 3-D problem to a 2-D problem by solving time-dependent Maxwell's equations in cylindrical coordinates.They then develop a nodal discontinuous Galerkin method for solving their model equations. We prove stability and error analysis for the semi-discrete scheme. We we present our numerical results, we demonstrate that our algorithm not only converges as our theoretical analysis predicts, but it is also very effective in solving a variety of signal propagation problems in practical corrugated coaxial cables.},

  doi          = {10.1016/j.cam.2016.07.003},

  journal      = {Journal of Computational and Applied Mathematics},

  number       = C,

  volume       = 309,

  place        = {Belgium},

  year         = {Sun Jan 01 00:00:00 EST 2017},

  month        = {Sun Jan 01 00:00:00 EST 2017}

}

Copy to clipboard

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Works referenced in this record:

Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section
journal, May 2014

Imperiale, Sébastien; Joly, Patrick
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Bermúdez, Alfredo; Gómez, Dolores; Rodríguez, Rodolfo
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An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials
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Li, Jichun; Waters, Jiajia Wang; Machorro, Eric A.
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Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation
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Works referencing / citing this record:

Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs
journal, March 2019

Fang, Zhiwei; Li, Jichun; Tang, Tao
Journal of Scientific Computing, Vol. 80, Issue 1
DOI: 10.1007/s10915-019-00936-z

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Similar Records

Title: Numerical study of signal propagation in corrugated coaxial cables

Abstract

Citation Formats

Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section journal, May 2014

Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique journal, August 2000

Theoretical tools to solve the axisymmetric Maxwell equations journal, January 2001

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journal, January 2006

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Multigrid in a weighted space arising from axisymmetric electromagnetics
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Numerical analysis of a transient non-linear axisymmetric eddy current model
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Numerical analysis of a finite-element method for the axisymmetric eddy current model of an induction furnace
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