A diagonal split-cell model for the overlapping Yee FDTD method

Jinjie Liu; Moysey Brio; Jerome V. Moloney

doi:10.1016/S0252-9602(10)60009-4

A diagonal split-cell model for the overlapping Yee FDTD method

Jinjie Liu, Moysey Brio, Jerome V. Moloney

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

3 Scopus citations

Abstract

In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved. Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.

Original language	English (US)
Pages (from-to)	1670-1676
Number of pages	7
Journal	Acta Mathematica Scientia
Volume	29
Issue number	6
DOIs	https://doi.org/10.1016/S0252-9602(10)60009-4
State	Published - Nov 2009

Keywords

35Q61
65M08
78M12
FDTD method
Maxwell's equations
Optical force
Overlapping Yee method

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1016/S0252-9602(10)60009-4

Cite this

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title = "A diagonal split-cell model for the overlapping Yee FDTD method",

abstract = "In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved. Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.",

keywords = "35Q61, 65M08, 78M12, FDTD method, Maxwell's equations, Optical force, Overlapping Yee method",

author = "Jinjie Liu and Moysey Brio and Moloney, {Jerome V.}",

note = "Funding Information: ∗Received October 31, 2009. This work is supported by the Air Force Office of Scientific Research (AFOSR) under Grant numbers FA9550-04-1-0213 and FA9550-07-1-0010.",

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AU - Liu, Jinjie

AU - Brio, Moysey

AU - Moloney, Jerome V.

N1 - Funding Information: ∗Received October 31, 2009. This work is supported by the Air Force Office of Scientific Research (AFOSR) under Grant numbers FA9550-04-1-0213 and FA9550-07-1-0010.

PY - 2009/11

Y1 - 2009/11

N2 - In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved. Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.

AB - In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved. Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.

KW - 35Q61

KW - 65M08

KW - 78M12

KW - FDTD method

KW - Maxwell's equations

KW - Optical force

KW - Overlapping Yee method

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JO - Acta Mathematica Scientia

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ER -

A diagonal split-cell model for the overlapping Yee FDTD method

Abstract

Keywords

ASJC Scopus subject areas

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