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 journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)501-516
Number of pages16
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number2
StatePublished - Feb 2002


  • Adaptive gridding
  • FDTD
  • MRTD
  • Time-domain techniques
  • Wavelets

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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