A novel and efficient higher order convolutional perfectly matched layer (CPML) method is put forward and also applied to cut off the ﬁnite-difference time-domain (FDTD) computational domain full of the unmagnetized plasma. A Drude model can be used to represent the unmagnetized plasma, and the plasma can be solved by using the trapezoidal recursive convolution (TRC) method. In order to verify the validity of the presented method, a numerical example in three-dimensional computational domain is provided. The numerical example results show that the proposed formulations have better absorbing performance than the first-order CPML in terms of attenuating low-frequency and evanescent waves. Besides, by using the proposed method, computational time and memory can be reduced compared to the second order PML implemented by using the auxiliary differential equation (ADE) method.
1. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., Vol. 114, No. 2, 185-200, 1994. doi:10.1006/jcph.1994.1159
2. Chew, W. C. and W. H. Weedon, "A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates," Microw. Opt. Technol. Lett., Vol. 7, No. 13, 599-604, 1994. doi:10.1002/mop.4650071304
4. Kuzuoglu, M. and R. Mittra, "Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers," IEEE Microwave and Guided Wave Letters, Vol. 6, No. 12, 447-449, 1996. doi:10.1109/75.544545
5. Berenger, J. P., "Numerical reflection from FDTD-PMLs: A comparison of the split PML with the unsplit and CFSPMLs," IEEE Trans. Antennas Propag., Vol. 50, No. 3, 258-265, 2002. doi:10.1109/8.999615
6. Correia, D. and J. M. Jin, "Performance of regular PML, CFS-PML, and second-order PML for waveguide problems," Microw. Opt. Technol. Lett., Vol. 48, No. 10, 2121-2126, 2006. doi:10.1002/mop.21872
7. Gedney, S. D. and B. Zhao, "An auxiliary differential equation formulation for the complexfrequency shifted PML," IEEE Trans. Antenna Propag., Vol. 58, No. 3, 838-847, 2010. doi:10.1109/TAP.2009.2037765
8. Feng, N. X. and J. X. Li, "Novel and efficient FDTD implementation of higher-order perfectly matched layer based on ADE method," J. Comput. Phys., Vol. 232, No. 1, 318-326, 2013. doi:10.1016/j.jcp.2012.08.012
9. Li, J. X., P. Y. Wu, and H. L. Jiang, "Implementation of higher order CNAD CFS-PML for truncating unmagnetized plasma," IET Microw. Antennas Propag., Vol. 13, No. 6, 756-760, 2018. doi:10.1049/iet-map.2018.5208
10. Liu, S., S. Q. Liu, and S. B. Liu, "Finite-difference time-domain algorithm for plasma based on trapezoidal recursive convolution technique," J. Infrared. Millim. Te., Vol. 31, No. 5, 620-628, 2010.