Efficient FDTD Implementation of the ADE-Based CN-PML for the Two-Dimensional TMz Waves
Keywords:
Auxiliary differential equation (ADE), Crank-Nicolson Douglas-Gunn (CNDG), finitedifference time-domain (FDTD), perfectly matched layer (PML)Abstract
An efficient, unsplit-field and unconditional stable implementation of the stretched coordinate perfectly matched layer (SC-PML) is proposed for terminating the finite-difference time-domain (FDTD) method. Via incorporating the Crank-Nicolson Douglas-Gunn (CNDG) and the auxiliary differential equation (ADE) methods, respectively, the proposed PML formulations can take advantage of the unconditional stability of the CNDG method which has smaller numerical anisotropy than the existing alternately direction implicit (ADI) method. A numerical test carried out in a 2D free space FDTD domain is provided to validate the proposed CNDGbased PML. It has been shown that the proposed PML can not only overcome the Courant-Friedrich-Levy (CFL) stability constraint, but attenuate the propagating waves efficiently.
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References
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