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

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

doi:10.1109/22.982230

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

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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	501-516
Number of pages	16
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	50
Issue number	2
DOIs	https://doi.org/10.1109/22.982230
State	Published - Feb 2002

Keywords

Adaptive gridding
FDTD
MRTD
Time-domain techniques
Wavelets

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

Online availability

10.1109/22.982230

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title = "Multiresolution time-domain (MRTD) adaptive schemes using arbitrary resolutions of wavelets",

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 = "Adaptive gridding, FDTD, MRTD, Time-domain techniques, Wavelets",

author = "Tentzeris, {Emmanouil M.} and Andreas Cangellaris and Katehi, {Linda P.B.} and James Harvey",

note = "Funding Information: Manuscript received April 5, 2001. This work was supported by the National Science Foundation under the CAREER Award 9984761, by the State of Georgia under the Yamacraw Research Initiative, and by the Georgia Institute of Technology Packaging Research Center.",

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AU - Cangellaris, Andreas

AU - Katehi, Linda P.B.

AU - Harvey, James

N1 - Funding Information: Manuscript received April 5, 2001. This work was supported by the National Science Foundation under the CAREER Award 9984761, by the State of Georgia under the Yamacraw Research Initiative, and by the Georgia Institute of Technology Packaging Research Center.

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N2 - 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.

AB - 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.

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

Abstract

Keywords

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