Multiresolution time-domain (MRTD) adaptive schemes using arbitrary resolutions of wavelets

Author

Tentzeris, Emmanouil M. ; Cangellaris, Andreas ; Katehi, Linda P B ; Harvey, James

Author_Institution

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

Volume

50

Issue

2

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

501

Lastpage

516

Abstract

A space- and time-adaptive two-dimensional multiresolution time-domain (MRTD) algorithm based on arbitrary resolutions of Battle-Lemarie wavelets is proposed. Analytic expressions for the finite-summation coefficients are derived and details concerning the modeling of hard boundaries, excitation, and field reconstruction are extensively discussed. Through the use of a combination of absolute and relative thresholding, a dynamically changing grid is developed with minimal computational requirements in comparison to the finite-difference time-domain technique. After the validation process, MRTD is used for the first time for the numerical optimization of complex RF structures such as evanescent-mode filters

Keywords

electromagnetic field theory; finite difference time-domain analysis; microwave filters; optimisation; waveguide theory; wavelet transforms; Battle-Lemarie wavelets; MRTD adaptive schemes; RF structures; absolute thresholding; arbitrary wavelet resolutions; computational requirements; dynamically changing grid; evanescent-mode filters; excitation modeling; field reconstruction; finite-difference time-domain technique; finite-summation coefficients; hard boundaries; microwave applications; modeling; multiresolution time-domain adaptive schemes; nonhomogeneous waveguide geometries; numerical optimization; relative thresholding; space/time-adaptive 2D multiresolution time-domain algorithm; validation process; Finite difference methods; Grid computing; MMICs; Microwave theory and techniques; Military computing; Multiresolution analysis; Packaging; Signal representations; Time domain analysis; Wavelet analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.982230

Filename

982230