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Volume 25, Issue 4
A Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by a Periodic Chiral Structure

Deyue Zhang & Fuming Ma

J. Comp. Math., 25 (2007), pp. 458-472.

Published online: 2007-08

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  • Abstract

Consider the diffraction of a time-harmonic wave incident upon a periodic chiral structure. The diffraction problem may be simplified to a two-dimensional one. In this paper, the diffraction problem is solved by a finite element method with perfectly matched absorbing layers (PMLs). We use the PML technique to truncate the unbounded domain to a bounded one which attenuates the outgoing waves in the PML region. Our computational experiments indicate that the proposed method is efficient, which is capable of dealing with complicated chiral grating structures.

  • Keywords

Chiral media, Perfectly matched layer, Grating optics.

  • AMS Subject Headings

35Q60, 65L60, 78A45.

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{JCM-25-458, author = {Deyue Zhang and Fuming Ma}, title = {A Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by a Periodic Chiral Structure}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {4}, pages = {458--472}, abstract = {

Consider the diffraction of a time-harmonic wave incident upon a periodic chiral structure. The diffraction problem may be simplified to a two-dimensional one. In this paper, the diffraction problem is solved by a finite element method with perfectly matched absorbing layers (PMLs). We use the PML technique to truncate the unbounded domain to a bounded one which attenuates the outgoing waves in the PML region. Our computational experiments indicate that the proposed method is efficient, which is capable of dealing with complicated chiral grating structures.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8704.html} }
TY - JOUR T1 - A Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by a Periodic Chiral Structure AU - Deyue Zhang & Fuming Ma JO - Journal of Computational Mathematics VL - 4 SP - 458 EP - 472 PY - 2007 DA - 2007/08 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8704.html KW - Chiral media, Perfectly matched layer, Grating optics. AB -

Consider the diffraction of a time-harmonic wave incident upon a periodic chiral structure. The diffraction problem may be simplified to a two-dimensional one. In this paper, the diffraction problem is solved by a finite element method with perfectly matched absorbing layers (PMLs). We use the PML technique to truncate the unbounded domain to a bounded one which attenuates the outgoing waves in the PML region. Our computational experiments indicate that the proposed method is efficient, which is capable of dealing with complicated chiral grating structures.

Deyue Zhang and Fuming Ma. (2007). A Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by a Periodic Chiral Structure. Journal of Computational Mathematics. 25 (4). 458-472. doi:
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