Stability and dispersion analysis of Battle-Lemarie-based MRTD schemes

Author

Tentzeris, Emmanouil M. ; Robertson, Robert L. ; Harvey, James F. ; Katehi, Linda P B

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

47

Issue

7

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

1004

Lastpage

1013

Abstract

The stability and dispersion performance of the recently developed Battle-Lemarie multiresolution time-domain schemes is investigated for different stencil sizes. The contribution of wavelets is enhanced and analytical expressions for the maximum allowable time step are derived. It is observed that larger stencils decrease the numerical phase error, making it significantly lower than finite-difference time domain for low and medium discretizations. The addition of wavelets further improves the dispersion performance for discretizations close to the Nyquist limit, though it decreases the value of the maximum time step, guaranteeing the stability of the scheme

Keywords

dispersion relations; electromagnetic wave propagation; numerical stability; time-domain analysis; wavelet transforms; Battle-Lemarie-based MRTD schemes; dispersion analysis; maximum time step; multiresolution time-domain schemes; numerical phase error; stability performance; stencil sizes; wavelets; Eigenvalues and eigenfunctions; Electromagnetic propagation; Equations; Finite difference methods; Microwave propagation; Optical propagation; Performance analysis; Stability analysis; Time domain analysis; Wavelet analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.775432

Filename

775432