Affiliations: [a] National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing, Jiangsu, China | [b] Engineer Academy of PLA, Xuzhou, Jiangsu, China
Correspondence:
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Corresponding author: Feng Lu, National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, Jiangsu, China. E-mail:[email protected]
Abstract: In this paper, uniaxial anisotropic
perfectly matched layer (UPML) absorbing boundary condition (ABC) of
dispersive materials is presented for 2-D finite-difference time-domain
(FDTD) method with weighted Laguerre polynomials (WLP). Taking advantage of
the auxiliary differential equation (ADE) technique, our proposed algorithm
avoids not only the complicated formulations but also the convolution
integral. Using ADE scheme, the relationship between field components and
auxiliary differential variables is derived in Laguerre domain. Substituting
auxiliary differential variables into UPML-ABC, the electric field
E of order q can be expressed directly by magnetic field
H in Laguerre domain. Inserting magnetic field
H of order q$ into electric field, and using central
difference scheme, the formulations of uniaxial anisotropic dispersive media
PML are obtained. One numerical example of wave propagation in 2-D
dispersive materials is simulated. Numerical results validate the efficiency
of the presented method.
