A triangular-grid finite-difference time-domain method for electromagnetic scattering problems

A two-dimensional (2-D) finite-difference time-domain (FDTD) method using a triangular grid is introduced for solving electromagnetic scattering problems. The 2-D FDTD method is based on a control region approximation, which is defined by the Dirichlet tessellation of the triangular grid. In general...

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Bibliographic Details
Published in:Journal of electromagnetic waves and applications Vol. 8; no. 4; pp. 449 - 470
Main Authors: Lee, C.F., Mccartin, B.J., Shin, R.T., Kong, J.A.
Format: Journal Article
Language:English
Published: Zeist Taylor & Francis Group 01.01.1994
VSP
Subjects:
Computational techniques
Exact sciences and technology
Finite-difference methods
Mathematical methods in physics
Physics
Analysis method
Time domain method
Wave propagation
Wave scattering
Modeling
Electromagnetic wave
Calculation methods
Finite difference method
ISSN:0920-5071, 1569-3937
Online Access:Get full text
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Summary:A two-dimensional (2-D) finite-difference time-domain (FDTD) method using a triangular grid is introduced for solving electromagnetic scattering problems. The 2-D FDTD method is based on a control region approximation, which is defined by the Dirichlet tessellation of the triangular grid. In general, this discretization scheme is accurate to second-order in time, to first-order in space for non-uniform grids, and to second-order in space for uniform grids. Using triangular grids, arbitrary geometries can be represented by piecewise linear models . In addition, an absorbing boundary condition on a smooth outer boundary, such as a circular boundary, can be implemented. This method is illustrated and verified by calculating scattering from perfectly conducting and coated objects. It is shown that geometrical modeling using a triangular grid is more accurate for electromagnetic scattering problems than those using a rectangular grid, especially when the surface wave is significant.
ISSN:0920-5071
1569-3937
DOI:10.1163/156939394X00128