Analysis of Random Nonuniform Transmission Line Response under Plane-Wave Illumination with a Perturbation Decomposition-Polynomial Chaos Perturbation Decomposition-Polynomial Chaos Expansion Method

Authors

  • Jinpeng Yang College of Communication Engineering Jilin University, Chang Chun, 130012, China
  • Xiaoying Sun College of Communication Engineering Jilin University, Chang Chun, 130012, China
  • Yu Zhao College of Communication Engineering Jilin University, Chang Chun, 130012, China
  • Jian Chen College of Communication Engineering Jilin University, Chang Chun, 130012, China
  • Hanqing Wang College of Communication Engineering Jilin University, Chang Chun, 130012, China

Keywords:

Deterministic nonuniform transmission line, parameter uncertainty, perturbation decomposition, plane-wave illumination, polynomial chaos expansion, random nonuniform transmission line

Abstract

A perturbation decomposition-polynomial chaos expansion method is presented to evaluate the electromagnetic effects of random nonuniform transmission line under plane-wave illumination. The nonuniformity is represented as perturbation with respect to the reference uniform transmission line. Moreover, by expanding the unknown random parameters in terms of orthogonal polynomials, the stochastic transmission line equation is projected into a set of deterministic transmission line equations. Numerical simulations are presented for several typical deterministic and random nonuniform transmission lines above an ideal ground. The results show that the proposed perturbation decomposition-polynomial chaos expansion method is accurate and computationally efficient compared with the traditional uniform cascaded section method and Monte Carlo method.

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Published

2021-07-16

How to Cite

[1]
Jinpeng Yang, Xiaoying Sun, Yu Zhao, Jian Chen, and Hanqing Wang, “Analysis of Random Nonuniform Transmission Line Response under Plane-Wave Illumination with a Perturbation Decomposition-Polynomial Chaos Perturbation Decomposition-Polynomial Chaos Expansion Method”, ACES Journal, vol. 34, no. 01, pp. 64–74, Jul. 2021.

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