Modeling of Curved Boundaries in the Finite-Difference Time-Domain Method using a Lagrangian Approach

  • Johannes A. Russer
  • Prasad S. Sumant
  • Andreas C. Cangellaris
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 121)

Abstract

We present a Lagrangian approach for increasing the accuracy of the Finite-Difference Time-Domain method in modeling electromagnetic wave interactions in geometries involving curved boundaries. The methodology provides for a mapping of the physical computational domain onto a reference domain with all its boundaries parallel to a Cartesian coordinate system. The Lagrangian formulation offers a convenient way to define a modified set of Maxwell’s equations on the reference domain. This modified set of equations is then discretized using the staggered Cartesian grids of the Yee’s lattice. The attributes of the method are demonstrated through its application to the calculation of the eigenfrequencies of a two-dimensional metallic resonator and the transmission properties of a two-dimensional periodic structure.

Keywords

Curve Boundary Lagrangian Approach FDTD Method Perfect Electric Conductor Reference Domain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Johannes A. Russer
    • 1
  • Prasad S. Sumant
    • 1
  • Andreas C. Cangellaris
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of Illinois at Urbana-ChampaignUSA

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