Uniaxial PML absorbing boundary condition for truncating the boundary of DNG metamaterials

K. S. Zheng; Wai Yip Tam; D. B. Ge; J. D. Xu

doi:10.2528/PIERL09030901

Uniaxial PML absorbing boundary condition for truncating the boundary of DNG metamaterials

K. S. Zheng, Wai Yip Tam, D. B. Ge, J. D. Xu

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

The conventional perfectly matched layer (PML) absorbing boundary condition is shown to be unstable when it is extended to truncate the boundary of the double negative (DNG) medium. It is a consequence of the reverse directions of the Poynting and phasevelocity vectors of plane waves propagating in such material. In this paper, a modified uniaxial PML (UPML), which is stable for the DNG medium, is derived. The auxiliary differential equation technique is introduced to derive the discrete field-update equations of DNG-UPML. Numerical results demonstrate the effectiveness and stability of the new UPML for the DNG medium.

Original language	English
Pages (from-to)	125-134
Number of pages	10
Journal	Progress In Electromagnetics Research Letters
Volume	8
DOIs	https://doi.org/10.2528/PIERL09030901
Publication status	Published - 1 Jan 2009

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials

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10.2528/PIERL09030901

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abstract = "The conventional perfectly matched layer (PML) absorbing boundary condition is shown to be unstable when it is extended to truncate the boundary of the double negative (DNG) medium. It is a consequence of the reverse directions of the Poynting and phasevelocity vectors of plane waves propagating in such material. In this paper, a modified uniaxial PML (UPML), which is stable for the DNG medium, is derived. The auxiliary differential equation technique is introduced to derive the discrete field-update equations of DNG-UPML. Numerical results demonstrate the effectiveness and stability of the new UPML for the DNG medium.",

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AU - Ge, D. B.

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AB - The conventional perfectly matched layer (PML) absorbing boundary condition is shown to be unstable when it is extended to truncate the boundary of the double negative (DNG) medium. It is a consequence of the reverse directions of the Poynting and phasevelocity vectors of plane waves propagating in such material. In this paper, a modified uniaxial PML (UPML), which is stable for the DNG medium, is derived. The auxiliary differential equation technique is introduced to derive the discrete field-update equations of DNG-UPML. Numerical results demonstrate the effectiveness and stability of the new UPML for the DNG medium.

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JO - Progress In Electromagnetics Research Letters

JF - Progress In Electromagnetics Research Letters

ER -

Uniaxial PML absorbing boundary condition for truncating the boundary of DNG metamaterials

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