Publication detail

Full-Wave Finite-Element Analysis of General Microwave Waveguides

RAIDA, Z.

Original Title

Full-Wave Finite-Element Analysis of General Microwave Waveguides

English Title

Full-Wave Finite-Element Analysis of General Microwave Waveguides

Type

book

Language

en

Original Abstract

Thesis brings a critical overview of so-far existing numerical methods based on finite elements and serving for the analysis of microwave transmission lines. On the basis of revealed problems, existing methods are originally modified. Attention is turned the the generality of developed approaches. The initial method is based on a functional of I. Huynen and A. Vander Vorst describing the distribution of EM field in a transmission line. Components of EM field are approximated by nodal-edge finite elementsand the functional is minimized with respect to unknown approximation coefficients. That way, a matrix equation is obtained, which is identical with the result of Galerkin method. Since accuracy of the finite-element method is crucially influenced by the quality of the discretization mesh, a detailed discussion is devoted even to this topic. Several meshes were proposed and their quality is tested using the reaction concept. Then an optimization method based on linear random search is proposed and the error of the solution is minimized. Since most CPU time is consumed by the solution of the general eigenvalue problem, efficiency of the method is increased using the complex hopping concept. Accuracy of the method is slightly lower. Since the classical finite-element method can be used for the analysis of closed structures only, a special spatial transformation was used to convert open structures to closed ones. Moreover, the transform is shown to behave the same way as perfectly matched layers.

English abstract

Thesis brings a critical overview of so-far existing numerical methods based on finite elements and serving for the analysis of microwave transmission lines. On the basis of revealed problems, existing methods are originally modified. Attention is turned the the generality of developed approaches. The initial method is based on a functional of I. Huynen and A. Vander Vorst describing the distribution of EM field in a transmission line. Components of EM field are approximated by nodal-edge finite elementsand the functional is minimized with respect to unknown approximation coefficients. That way, a matrix equation is obtained, which is identical with the result of Galerkin method. Since accuracy of the finite-element method is crucially influenced by the quality of the discretization mesh, a detailed discussion is devoted even to this topic. Several meshes were proposed and their quality is tested using the reaction concept. Then an optimization method based on linear random search is proposed and the error of the solution is minimized. Since most CPU time is consumed by the solution of the general eigenvalue problem, efficiency of the method is increased using the complex hopping concept. Accuracy of the method is slightly lower. Since the classical finite-element method can be used for the analysis of closed structures only, a special spatial transformation was used to convert open structures to closed ones. Moreover, the transform is shown to behave the same way as perfectly matched layers.

RIV year

1998

Released

30.10.1998

Publisher

TU Brno

Location

Brno, Česká republika

ISBN

80-214-1165-1

Book

Habilitation Thesis of VUT Brno

Edition

2

Pages count

20

BibTex


@book{BUT61164,
  author="Zbyněk {Raida}",
  title="Full-Wave Finite-Element Analysis of General Microwave Waveguides",
  annote="Thesis brings a critical overview of so-far existing numerical methods based on finite elements and serving for the analysis of microwave transmission lines. On the basis of revealed problems, existing methods are originally modified. Attention is turned the the generality of developed approaches. The initial method is based on a functional of I. Huynen and A. Vander Vorst describing the distribution of EM field in a transmission line. Components of EM field are approximated by nodal-edge finite elementsand the functional is minimized with respect to unknown approximation coefficients. That way, a matrix equation is obtained, which is identical with the result of Galerkin method. Since accuracy of the finite-element method is crucially influenced by the quality of the discretization mesh, a detailed discussion is devoted even to this topic. Several meshes were proposed and their quality is tested using the reaction concept. Then an optimization method based on linear random search is proposed and the error of the solution is minimized. Since most CPU time is consumed by the solution of the general eigenvalue problem, efficiency of the method is increased using the complex hopping concept. Accuracy of the method is slightly lower. Since the classical finite-element method can be used for the analysis of closed structures only, a special spatial transformation was used to convert open structures to closed ones. Moreover, the transform is shown to behave the same way as perfectly matched layers.",
  address="TU Brno",
  booktitle="Habilitation Thesis of VUT Brno",
  chapter="61164",
  edition="2",
  institution="TU Brno",
  year="1998",
  month="october",
  publisher="TU Brno",
  type="book"
}