A finite-difference method for the third-order simplified wave equation: assessment and application

Author

Lu, Zhang-Ning ; Bansal, Rajeev

Author_Institution

Dept. of Electr. & Syst. Eng., Connecticut Univ., Storrs, CT, USA

Volume

42

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

132

Lastpage

136

Abstract

A finite-difference method for coding the third-order simplified one-way wave equation is analyzed and assessed for application to two-dimensional waveguide structures. The general formulation for the simplified one-way wave equations based on the expansion of the eigenvalue equation is briefly discussed. The stability criteria of the finite-difference schemes are analyzed by applying the von Neumann method. Numerical dissipation is studied by calculating the power attenuation along the propagation direction. Finally, the EM wave propagation and scattering in the small and medium size open-ended parallel-plate waveguide cavities are calculated by using the method, and are compared with modal solutions

Keywords

eigenvalues and eigenfunctions; electromagnetic wave propagation; electromagnetic wave scattering; finite difference methods; stability criteria; wave equations; waveguide theory; 2D waveguide structures; EM wave propagation; coding; eigenvalue equation; finite-difference method; one-way wave equation; open-ended parallel-plate waveguide cavities; power attenuation; scattering; stability criteria; third-order simplified wave equation; two-dimensional waveguide structures; von Neumann method; Eigenvalues and eigenfunctions; Finite difference methods; Microwave propagation; Optical propagation; Optical refraction; Optical scattering; Optical waveguides; Partial differential equations; Ray tracing; Stability analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.265540

Filename

265540