Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions

J.M. Arnold; B.P. Hon, de

Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions

J.M. Arnold
, B.P. Hon, de

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We propose a radiative boundary condition for the discrete-grid formulation of Helmholtz’ equation, based on rational approximation in the frequency domain of a Green’s function for the discretised system. This boundary condition is free from instabilities.

Original language	English
Title of host publication	proceedings of the 2007 URSI Electromagnetic Theory Symposium (EMTS 2007) 26-28 July 2007, Ottawa, Ontario, Canada
Place of Publication	Ottawa, Canada
Publisher	International Union of Radio Science
Pages	1-3
ISBN (Print)	978-0-9738425-3-1
Publication status	Published - 2007
Event	conference; EMTS 2007, Ottawa, Ontario, Canada; 2007-07-26; 2007-07-28 - Duration: 26 Jul 2007 → 28 Jul 2007

Conference

Conference	conference; EMTS 2007, Ottawa, Ontario, Canada; 2007-07-26; 2007-07-28
Period	26/07/07 → 28/07/07
Other	EMTS 2007, Ottawa, Ontario, Canada

Cite this

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title = "Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions",

abstract = "We propose a radiative boundary condition for the discrete-grid formulation of Helmholtz{\textquoteright} equation, based on rational approximation in the frequency domain of a Green{\textquoteright}s function for the discretised system. This boundary condition is free from instabilities.",

author = "J.M. Arnold and \{Hon, de\}, B.P.",

year = "2007",

language = "English",

isbn = "978-0-9738425-3-1",

pages = "1--3",

booktitle = "proceedings of the 2007 URSI Electromagnetic Theory Symposium (EMTS 2007) 26-28 July 2007, Ottawa, Ontario, Canada",

publisher = "International Union of Radio Science",

note = "conference; EMTS 2007, Ottawa, Ontario, Canada; 2007-07-26; 2007-07-28 ; Conference date: 26-07-2007 Through 28-07-2007",

}

Arnold, JM & Hon, de, BP 2007, Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions. in proceedings of the 2007 URSI Electromagnetic Theory Symposium (EMTS 2007) 26-28 July 2007, Ottawa, Ontario, Canada. International Union of Radio Science, Ottawa, Canada, pp. 1-3, conference; EMTS 2007, Ottawa, Ontario, Canada; 2007-07-26; 2007-07-28, 26/07/07.

Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions. / Arnold, J.M.; Hon, de, B.P.
proceedings of the 2007 URSI Electromagnetic Theory Symposium (EMTS 2007) 26-28 July 2007, Ottawa, Ontario, Canada. Ottawa, Canada: International Union of Radio Science, 2007. p. 1-3.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions

AU - Arnold, J.M.

AU - Hon, de, B.P.

PY - 2007

Y1 - 2007

N2 - We propose a radiative boundary condition for the discrete-grid formulation of Helmholtz’ equation, based on rational approximation in the frequency domain of a Green’s function for the discretised system. This boundary condition is free from instabilities.

AB - We propose a radiative boundary condition for the discrete-grid formulation of Helmholtz’ equation, based on rational approximation in the frequency domain of a Green’s function for the discretised system. This boundary condition is free from instabilities.

M3 - Conference contribution

SN - 978-0-9738425-3-1

SP - 1

EP - 3

BT - proceedings of the 2007 URSI Electromagnetic Theory Symposium (EMTS 2007) 26-28 July 2007, Ottawa, Ontario, Canada

PB - International Union of Radio Science

CY - Ottawa, Canada

T2 - conference; EMTS 2007, Ottawa, Ontario, Canada; 2007-07-26; 2007-07-28

Y2 - 26 July 2007 through 28 July 2007

ER -

Discrete Green's Theorem, Green's Functions and Stable Radiative FDTD Boundary Conditions

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