A lagrangian approach for the handling of curved boundaries in the finite-difference time-domain method

Johannes A. Russer, Prasad S. Sumant, Andreas C. Cangellaris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A methodology is proposed for the systematic and accurate modeling of electromagnetic field interactions in geometries with curved boundaries using the Finite-Difference Time-Domain method. The methodology utilizes a Lagrangian approach to solve a modified set of Maxwell's equations on a map of the physical domain, for which all boundaries are parallel to a Cartesian coordinate system. Hence, a rectangular Yee's lattice can be used for the spatial discretization of Maxwell's equations. The proposed scheme avoids the need for the staircase approximation of curved boundaries and provides for enhanced accuracy in a systematic manner. The proposed methodology is validated through its application to the modeling of wave propagation through the two-dimensional geometry of a non-uniform section of a parallel-plate waveguide formed by the cascading of two exponential tapers.

Original languageEnglish (US)
Title of host publication2007 IEEE MTT-S International Microwave Symposium Digest
Pages717-720
Number of pages4
DOIs
StatePublished - Oct 2 2007
Event2007 IEEE MTT-S International Microwave Symposium, IMS 2007 - Honolulu, HI, United States
Duration: Jun 3 2007Jun 8 2007

Publication series

NameIEEE MTT-S International Microwave Symposium Digest
ISSN (Print)0149-645X

Other

Other2007 IEEE MTT-S International Microwave Symposium, IMS 2007
Country/TerritoryUnited States
CityHonolulu, HI
Period6/3/076/8/07

Keywords

  • Electromagnetic analysis
  • FDTD
  • Modeling
  • Simulation

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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