A leapfrogging-in-time integral equation solver

Ali E. Yilmaz; Jian Ming Jin; Eric Michielssen

doi:10.1109/LAWP.2007.895283

A leapfrogging-in-time integral equation solver

Ali E. Yilmaz, Jian Ming Jin, Eric Michielssen

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

Abstract

An implicit leapfrogging-in-time surface-integral-equation solver for analyzing transient scattering from homogenous dielectric bodies is presented. Electric and magnetic current densities on dielectric Interfaces are expanded in terms of space-time basis functions defined on staggered temporal grids. Band-limited extrapolation of these current densities enables a leapfrogging solution procedure that generates samples of electric and magnetic current densities separated by half time steps. Numerical results demonstrate that the proposed solver is more efficient than standard marching-on-in-time solvers that simultaneously generate electric and magnetic current samples separated by integer time steps.

Original language	English (US)
Article number	895283
Pages (from-to)	203-206
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	6
DOIs	https://doi.org/10.1109/LAWP.2007.895283
State	Published - 2007

Keywords

Extrapolation
Integral equations
Time domain analysis

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/LAWP.2007.895283

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title = "A leapfrogging-in-time integral equation solver",

abstract = "An implicit leapfrogging-in-time surface-integral-equation solver for analyzing transient scattering from homogenous dielectric bodies is presented. Electric and magnetic current densities on dielectric Interfaces are expanded in terms of space-time basis functions defined on staggered temporal grids. Band-limited extrapolation of these current densities enables a leapfrogging solution procedure that generates samples of electric and magnetic current densities separated by half time steps. Numerical results demonstrate that the proposed solver is more efficient than standard marching-on-in-time solvers that simultaneously generate electric and magnetic current samples separated by integer time steps.",

keywords = "Extrapolation, Integral equations, Time domain analysis",

author = "Yilmaz, {Ali E.} and Jin, {Jian Ming} and Eric Michielssen",

note = "Funding Information: Manuscript received December 28, 2006; revised February 15, 2007. This work was supported in part by a grant from Sandia National Laboratory and by a grant from the Air Force Office of Scientific Research via the MURI Program under Contract FA9550-04-1-0326. A. E. Yılmaz is with the Department of Electrical and Computer Engineering, the University of Texas at Austin, Austin, TX, 78745 USA (e-mail: [email protected]). J.-M. Jin is with the Department of Electrical and Computer Engineering, the University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA. E. Michielssen is with the Department of Electrical and Computer Engineering, the University of Michigan, Ann Arbor, MI 48109 USA. Digital Object Identifier 10.1109/LAWP.2007.895283",

year = "2007",

doi = "10.1109/LAWP.2007.895283",

language = "English (US)",

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journal = "IEEE Antennas and Wireless Propagation Letters",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - A leapfrogging-in-time integral equation solver

AU - Yilmaz, Ali E.

AU - Jin, Jian Ming

AU - Michielssen, Eric

N1 - Funding Information: Manuscript received December 28, 2006; revised February 15, 2007. This work was supported in part by a grant from Sandia National Laboratory and by a grant from the Air Force Office of Scientific Research via the MURI Program under Contract FA9550-04-1-0326. A. E. Yılmaz is with the Department of Electrical and Computer Engineering, the University of Texas at Austin, Austin, TX, 78745 USA (e-mail: [email protected]). J.-M. Jin is with the Department of Electrical and Computer Engineering, the University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA. E. Michielssen is with the Department of Electrical and Computer Engineering, the University of Michigan, Ann Arbor, MI 48109 USA. Digital Object Identifier 10.1109/LAWP.2007.895283

PY - 2007

Y1 - 2007

N2 - An implicit leapfrogging-in-time surface-integral-equation solver for analyzing transient scattering from homogenous dielectric bodies is presented. Electric and magnetic current densities on dielectric Interfaces are expanded in terms of space-time basis functions defined on staggered temporal grids. Band-limited extrapolation of these current densities enables a leapfrogging solution procedure that generates samples of electric and magnetic current densities separated by half time steps. Numerical results demonstrate that the proposed solver is more efficient than standard marching-on-in-time solvers that simultaneously generate electric and magnetic current samples separated by integer time steps.

AB - An implicit leapfrogging-in-time surface-integral-equation solver for analyzing transient scattering from homogenous dielectric bodies is presented. Electric and magnetic current densities on dielectric Interfaces are expanded in terms of space-time basis functions defined on staggered temporal grids. Band-limited extrapolation of these current densities enables a leapfrogging solution procedure that generates samples of electric and magnetic current densities separated by half time steps. Numerical results demonstrate that the proposed solver is more efficient than standard marching-on-in-time solvers that simultaneously generate electric and magnetic current samples separated by integer time steps.

KW - Extrapolation

KW - Integral equations

KW - Time domain analysis

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A leapfrogging-in-time integral equation solver

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