Application of Generalized Finite Difference Method in Analysis of Transmission Characteristics of Waveguide

Xu, Hui; Mei, Yuchao; Bao, Yang

doi:10.1109/apmc47863.2020.9331709

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our previous work [17], GFDM was effectively used to analyze the propagation characteristics of the waveguide. However, when solving the TE mode problem, it relied on the second set of node distribution schemes, that is, an additional layer of discrete points needs to be arranged outside the boundary.…”

Section: Introductionmentioning

confidence: 99%

Generalized Finite Difference Method for Solving Waveguide Eigenvalue Problems

Bao

2022

ACES Journal

Self Cite

View full text Add to dashboard Cite

The generalized finite difference method (GFDM) is a meshless method that has become popular in recent years. The basic theory underlying GFDM is to expand the point cluster function value at the center node by Taylor’s formula and then obtain the best linear combinations of these function values to represent the derivative at the central node by the least square fitting technique. Subsequently, the minimized weighted error between the approximated value and the accurate value is obtained. This paper establishes the general steps for solving waveguide eigenvalue problems with GFDM. Excellent performance is shown by comparing the proposed method and other common solutions. The robustness of the proposed method is verified by calculating the cutoff wavenumbers of typical waveguides and the eccentric circular waveguide in different modes.

show abstract

Section: Introductionmentioning

confidence: 99%