2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids

George Pan, D. H. Cheng, B. K. Gilbert

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

An FDTD algorithm was developed using an embedded boundary orthogonal grid system. The algorithmes based on the complex Laplace equation to implement conformai mapping that minimises the magnitudes of the mesh gradients and therefore leads to the smoothest coordinate line distribution over the solution domain. In conjunction with the global rectangular meshes, the local non-orthogonal grids provide versatility of geometry. There is no need to perform interpolation on the boundaries between the local and global grids. As a result, computational time and memory requirements are substantially reduced. The field solution to the unbounded Laplace equation in nonorthogonal coordinates is obtained, and is used as the exciting source to expedite the convergence of the FDTD computations. Numerical examples show good agreement with the results presented in previous publications, both guided wave and scattering problems.

Original languageEnglish (US)
Title of host publicationIEE Proceedings: Microwaves, Antennas and Propagation
Pages399-405
Number of pages7
Volume147
Edition5
DOIs
StatePublished - Oct 2000

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Laplace equation
Guided electromagnetic wave propagation
Interpolation
Scattering
Data storage equipment
Geometry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

Cite this

Pan, G., Cheng, D. H., & Gilbert, B. K. (2000). 2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids. In IEE Proceedings: Microwaves, Antennas and Propagation (5 ed., Vol. 147, pp. 399-405) https://doi.org/10.1049/ip-map:20000738

2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids. / Pan, George; Cheng, D. H.; Gilbert, B. K.

IEE Proceedings: Microwaves, Antennas and Propagation. Vol. 147 5. ed. 2000. p. 399-405.

Research output: Chapter in Book/Report/Conference proceedingChapter

Pan, G, Cheng, DH & Gilbert, BK 2000, 2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids. in IEE Proceedings: Microwaves, Antennas and Propagation. 5 edn, vol. 147, pp. 399-405. https://doi.org/10.1049/ip-map:20000738
Pan G, Cheng DH, Gilbert BK. 2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids. In IEE Proceedings: Microwaves, Antennas and Propagation. 5 ed. Vol. 147. 2000. p. 399-405 https://doi.org/10.1049/ip-map:20000738
Pan, George ; Cheng, D. H. ; Gilbert, B. K. / 2D FDTD modelling of objects with curved boundaries, using embedded boundary orthogonal grids. IEE Proceedings: Microwaves, Antennas and Propagation. Vol. 147 5. ed. 2000. pp. 399-405
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