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Extension of Berenger's PML boundary condition in matching lossy medium and evanescent waves

Extension of Berenger's PML boundary condition in matching lossy medium and evanescent waves

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The authors have found that the generalised perfectly matched layer can be derived using wave impedance and effective permittivity concepts. This approach uses a trapezoidal integration scheme which leads to significantly better performance in matching propagating waves and a slight improvement in absorption of evanescent waves, in a lossy medium.

Inspec keywords: electromagnetic wave absorption; permittivity; Maxwell equations; finite difference time-domain analysis

Other keywords: effective permittivity; trapezoidal integration scheme; wave impedance; matching lossy medium; FDTD method; Berenger's PML boundary condition; evanescent waves

Subjects: Electromagnetic waves: theory; Numerical approximation and analysis; Electromagnetic wave propagation; Other numerical methods

References

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      • G. Mur . Absorbing boundary conditions for the finite-difference approximationof the time-domain electromagnetic-field equations. IEEE Trans. Electromagn. Compat. , 4 , 377 - 382
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      • Wu, Z., Fang, J.: `Performance of the perfectly matched layer in modeling wave propagationin microwave and digital circuit interconnects', 11th Annual Review of Progress in AppliedComputational Electromagnetics, March 1995, 1, Monterey, CA, p. 504–511.
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      • J.-P. Berenger . A perfectly matched layer for the absorption of electromagnetics waves. J. Comput. Phys. , 1 , 185 - 200
    4. 4)
      • Gribbons, M., Lee, S.-K., Cangellaris, A.C.: `Modification of Berenger's perfectly matchedlayer for the absorption of electromagnetics waves in layered media', 11th Annual Reviewof Progress in Applied Computational Electromagnetics, March 1995, 1, Monterey, CA, p. 498–503.
    5. 5)
      • D.S. Katz , E.T. Thiele , A. Taflove . Validation and extension to three dimensions of the Berenger PML absorbingboundary condition for FD-TD meshes. IEEE Microw. Guid. Wave Lett. , 8 , 268 - 270
    6. 6)
      • Jiayuan-Fang , Zhonghua-Wu . Generalized perfectly matched layer — An extension of Berenger'sperfectlymatched layer boundary condition. IEEE Microw. Guided Wave Lett. , 12 , 451 - 453
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