Open Access

ARTICLE

Analysis of Metallic Waveguides by Using Least Square-Based Finite Difference Method

C. Shu^1,2, W. X. Wu², C. M. Wang³

1 Corresponding author, Fax: +65-67791459, mpeshuc@nus.edu.sg
2 Department of Mechanical Engineering, National University of Singapore
3 Department of Civil Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 117576

Computers, Materials & Continua 2005, 2(3), 189-200. https://doi.org/10.3970/cmc.2005.002.189

Abstract

This paper demonstrates the application of a meshfree least square-based finite difference (LSFD) method for analysis of metallic waveguides. The waveguide problem is an eigenvalue problem that is governed by the Helmholtz equation. The second order derivatives in the Helmholtz equation are explicitly approximated by the LSFD formulations. TM modes and TE modes are calculated for some metallic waveguides with different cross-sectional shapes. Numerical examples show that the LSFD method is a very efficient meshfree method for waveguide analysis with complex domains.

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Keywords

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