Total-and scattered-field decomposition technique for the finite-element time-domain method

Douglas J. Riley, Jian Ming Jin, Zheng Lou, L. E.Rickard Petersson

Research output: Contribution to journalArticlepeer-review


A new finite-element time-domain (FETD) volumetric plane-wave excitation method for use with a total- and scattered-field decomposition (TSFD) is rigorously described. This method provides an alternative to the traditional Huygens' surface approaches commonly used to impress the incident field into the total-field region. Although both the volumetric and Huygens' surface formulations theoretically provide for zero leakage of the impressed wave into the scattered-field region, the volumetric method provides a simple path to numerically realize this. In practice, the level of leakage for the volumetric scheme is determined by available computer precision, as well as the residual of the matrix solution. In addition, the volumetric method exhibits nearly zero dispersion error with regard to the discrete incident field.

Original languageEnglish (US)
Pages (from-to)35-41
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Issue number1
StatePublished - 2006


  • Finite-element method (FEM)
  • Scattered-held formulation
  • Time-domain methods
  • Total-field formulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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