Least square method to optimize the coefficients of complex finite-difference space stencils

Bo Yang; Constantine Balanis

doi:10.1109/LAWP.2006.885012

Least square method to optimize the coefficients of complex finite-difference space stencils

Bo Yang, Constantine Balanis

Electrical Engineering

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

15 Scopus citations

Abstract

The numerical dispersion of the finite-difference timedomain methods can be lowered by using the complex space stencils. Properly adjusting the coefficients of the space stencils results in a further dispersion reduction. However, it is not trivial to determine the optimal values of the coefficients. This paper uses the least square method to optimize various finite-difference stencils. The method is validated by the numerical analysis.

Original language	English (US)
Article number	885012
Pages (from-to)	450-453
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	5
Issue number	1
DOIs	https://doi.org/10.1109/LAWP.2006.885012
State	Published - 2006

Keywords

Dispersion
Finite-difference time-domain method (fdtd)
Least square method
Optimization

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/LAWP.2006.885012

Cite this

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abstract = "The numerical dispersion of the finite-difference timedomain methods can be lowered by using the complex space stencils. Properly adjusting the coefficients of the space stencils results in a further dispersion reduction. However, it is not trivial to determine the optimal values of the coefficients. This paper uses the least square method to optimize various finite-difference stencils. The method is validated by the numerical analysis.",

keywords = "Dispersion, Finite-difference time-domain method (fdtd), Least square method, Optimization",

author = "Bo Yang and Constantine Balanis",

note = "Funding Information: Manuscript received July 5, 2006; revised September 5, 2006. This work supported by the U. S. Army Research Laboratory and the U.S. Army Research Office under Grant W911NF-05-1-0292. The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706 USA. Digital Object Identifier 10.1109/LAWP.2006.885012",

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T1 - Least square method to optimize the coefficients of complex finite-difference space stencils

AU - Yang, Bo

AU - Balanis, Constantine

N1 - Funding Information: Manuscript received July 5, 2006; revised September 5, 2006. This work supported by the U. S. Army Research Laboratory and the U.S. Army Research Office under Grant W911NF-05-1-0292. The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706 USA. Digital Object Identifier 10.1109/LAWP.2006.885012

PY - 2006

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N2 - The numerical dispersion of the finite-difference timedomain methods can be lowered by using the complex space stencils. Properly adjusting the coefficients of the space stencils results in a further dispersion reduction. However, it is not trivial to determine the optimal values of the coefficients. This paper uses the least square method to optimize various finite-difference stencils. The method is validated by the numerical analysis.

AB - The numerical dispersion of the finite-difference timedomain methods can be lowered by using the complex space stencils. Properly adjusting the coefficients of the space stencils results in a further dispersion reduction. However, it is not trivial to determine the optimal values of the coefficients. This paper uses the least square method to optimize various finite-difference stencils. The method is validated by the numerical analysis.

KW - Dispersion

KW - Finite-difference time-domain method (fdtd)

KW - Least square method

KW - Optimization

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Least square method to optimize the coefficients of complex finite-difference space stencils

Abstract

Keywords

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