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

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.

authors

• Katehi, Linda

published proceedings

• IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

altmetric score

• 3

author list (cited authors)

• Tentzeris, E. M., Robertson, R. L., Harvey, J. F., & Katehi, L.

citation count

• 56

complete list of authors

• Tentzeris, EM||Robertson, RL||Harvey, JF||Katehi, LPB

publication date

• July 1999

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Microwave Theory and Techniques  Journal

keywords

• Battle-lemarie-based Mrtd Schemes
• Dispersion Analysis
• Dispersion Relations
• Eigenvalues And Eigenfunctions
• Electromagnetic Propagation
• Electromagnetic Wave Propagation
• Equations
• Finite Difference Methods
• Maximum Time Step
• Microwave Propagation
• Multiresolution Time-domain Schemes
• Numerical Phase Error
• Numerical Stability
• Optical Propagation
• Performance Analysis
• Stability Analysis
• Stability Performance
• Stencil Sizes
• Time Domain Analysis
• Time-domain Analysis
• Wavelet Analysis
• Wavelet Transforms
• Wavelets

Digital Object Identifier (DOI)

• 10.1109/22.775432

start page

• 1004

end page

• 1013

volume

• 47

issue

• 7

URL

• http://dx.doi.org/10.1109/22.775432