A Fictitious Domain Method for Conformai Modeling of the Perfect Electric Conductors in the FDTD Method

Francis Collino; Sylvain Garces; Patrick Joly

doi:10.1109/8.725284

A Fictitious Domain Method for Conformai Modeling of the Perfect Electric Conductors in the FDTD Method

Francis Collino, Sylvain Garces, Patrick Joly

Research output: Contribution to journal › Article › peer-review

Abstract

We present a fictitious domain method to avoid the staircase approximation in the study of perfect electric conductors (PEC) in the finite-difference time-domain (FDTD) method. The idea is to extend the electromagnetic field inside the PEC and to introduce a new unknown, the surface electric current density to ensure the vanishing of the tangential components of the electric field on the boundary of the PEC. This requires the use of two independent meshes: a regular three-dimensional (3-D) cubic lattice for the electromagnetic field and a triangular surface-patching for the surface electric current density. The intersection of these two meshes gives a simple coupling law between the electric field and the surface electric current density. An interesting property of this method is that it provides the surface electric current density at each time step. Furthermore, this method looks like FDTD with a special model for the PEC. Numerical results for several objects are presented.

Original language	English
Pages (from-to)	1519-1526
Number of pages	8
Journal	IEEE Transactions on Antennas and Propagation
Volume	46
Issue number	10
DOIs	https://doi.org/10.1109/8.725284
Publication status	Published - 1 Dec 1998
Externally published	Yes

Keywords

Fdtd methods
Fictitious domain
Maxwell's equations
Time-domain methods

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10.1109/8.725284

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title = "A Fictitious Domain Method for Conformai Modeling of the Perfect Electric Conductors in the FDTD Method",

abstract = "We present a fictitious domain method to avoid the staircase approximation in the study of perfect electric conductors (PEC) in the finite-difference time-domain (FDTD) method. The idea is to extend the electromagnetic field inside the PEC and to introduce a new unknown, the surface electric current density to ensure the vanishing of the tangential components of the electric field on the boundary of the PEC. This requires the use of two independent meshes: a regular three-dimensional (3-D) cubic lattice for the electromagnetic field and a triangular surface-patching for the surface electric current density. The intersection of these two meshes gives a simple coupling law between the electric field and the surface electric current density. An interesting property of this method is that it provides the surface electric current density at each time step. Furthermore, this method looks like FDTD with a special model for the PEC. Numerical results for several objects are presented.",

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T1 - A Fictitious Domain Method for Conformai Modeling of the Perfect Electric Conductors in the FDTD Method

AU - Collino, Francis

AU - Garces, Sylvain

AU - Joly, Patrick

PY - 1998/12/1

Y1 - 1998/12/1

N2 - We present a fictitious domain method to avoid the staircase approximation in the study of perfect electric conductors (PEC) in the finite-difference time-domain (FDTD) method. The idea is to extend the electromagnetic field inside the PEC and to introduce a new unknown, the surface electric current density to ensure the vanishing of the tangential components of the electric field on the boundary of the PEC. This requires the use of two independent meshes: a regular three-dimensional (3-D) cubic lattice for the electromagnetic field and a triangular surface-patching for the surface electric current density. The intersection of these two meshes gives a simple coupling law between the electric field and the surface electric current density. An interesting property of this method is that it provides the surface electric current density at each time step. Furthermore, this method looks like FDTD with a special model for the PEC. Numerical results for several objects are presented.

AB - We present a fictitious domain method to avoid the staircase approximation in the study of perfect electric conductors (PEC) in the finite-difference time-domain (FDTD) method. The idea is to extend the electromagnetic field inside the PEC and to introduce a new unknown, the surface electric current density to ensure the vanishing of the tangential components of the electric field on the boundary of the PEC. This requires the use of two independent meshes: a regular three-dimensional (3-D) cubic lattice for the electromagnetic field and a triangular surface-patching for the surface electric current density. The intersection of these two meshes gives a simple coupling law between the electric field and the surface electric current density. An interesting property of this method is that it provides the surface electric current density at each time step. Furthermore, this method looks like FDTD with a special model for the PEC. Numerical results for several objects are presented.

KW - Fdtd methods

KW - Fictitious domain

KW - Maxwell's equations

KW - Time-domain methods

U2 - 10.1109/8.725284

DO - 10.1109/8.725284

M3 - Article

AN - SCOPUS:0032183985

SN - 0018-926X

VL - 46

SP - 1519

EP - 1526

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 10

ER -

A Fictitious Domain Method for Conformai Modeling of the Perfect Electric Conductors in the FDTD Method

Abstract

Keywords

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