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Title: Numerical study of signal propagation in corrugated coaxial cables

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:
 [1] ;  [2] ;  [2]
  1. Univ. of Nevada, Las Vegas, NV (United States). Dept.of Mathematical Sciences
  2. National Security Technologies, LLC. (NSTec), Las Vegas, NV (United States)
Publication Date:
Report Number(s):
DOE/NV/25946-2731
Journal ID: ISSN 0377-0427; TRN: US1601857
Grant/Contract Number:
AC52-06NA25946; DMS-1416742
Type:
Accepted Manuscript
Journal Name:
Journal of Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 309; Journal Issue: C; Journal ID: ISSN 0377-0427
Publisher:
Elsevier
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 (NA-20); National Science Foundation (NSF)
Country of Publication:
United States
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
OSTI Identifier:
1329716
Alternate Identifier(s):
OSTI ID: 1358865

Li, Jichun, Machorro, Eric A., and Shields, Sidney. Numerical study of signal propagation in corrugated coaxial cables. United States: N. p., Web. doi:10.1016/j.cam.2016.07.003.
Li, Jichun, Machorro, Eric A., & Shields, Sidney. Numerical study of signal propagation in corrugated coaxial cables. United States. doi:10.1016/j.cam.2016.07.003.
Li, Jichun, Machorro, Eric A., and Shields, Sidney. 2017. "Numerical study of signal propagation in corrugated coaxial cables". United States. doi:10.1016/j.cam.2016.07.003. https://www.osti.gov/servlets/purl/1329716.
@article{osti_1329716,
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 = {United States},
year = {2017},
month = {1}
}