MRTD: New time-domain schemes based on multiresolution analysis Academic Article

abstract

• The application of multiresolution analysis to Maxwell's equations results in new multiresolution time-domain (MRTD) schemes with unparalleled inherent properties. In particular, the approach allows the development of MRTD schemes which are based on scaling functions only or on a combination of scaling functions and wavelets leading to a variable mesh grading. The dispersion of the MRTD schemes compared to the conventional Yee finite-difference time-domain (FDTD) scheme shows an excellent capability to approximate the exact solution with negligible error for sampling rates approaching the Nyquist limit. Simple microwave structures including dielectric materials are analyzed in order to illustrate the application of the MRTD schemes and to demonstrate the advantages over Yee's FDTD scheme with respect to memory requirements and execution time.

authors

• Katehi, Linda

published proceedings

• IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

altmetric score

• 3

author list (cited authors)

• Krumpholz, M., & Katehi, L.

citation count

• 336

complete list of authors

• Krumpholz, M||Katehi, LPB

publication date

• April 1996

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Microwave Theory and Techniques  Journal

keywords

• Dielectric Materials
• Electromagnetic Fields
• Electromagnetic Modeling
• Finite Difference Methods
• Frequency Domain Analysis
• Integral Equations
• Maxwell Equations
• Maxwell's Equations
• Mesh Generation
• Microwave Devices
• Microwave Structures
• Moment Methods
• Mrtd
• Multiresolution Analysis
• Nyquist Limit
• Sampling Methods
• Sampling Rates
• Scaling Functions
• Time Domain Analysis
• Time-domain Analysis
• Time-domain Schemes
• Variable Mesh Grading
• Wavelet Transforms
• Wavelets

Digital Object Identifier (DOI)

• 10.1109/22.491023

start page

• 555

end page

• 571

volume

• 44

issue

• 4

URL

• http://dx.doi.org/10.1109/22.491023