The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions
Joint Authors
Ma, Yao
Miao, Xiaoping
Jiang, Feng
Lu, Feng
Su, Li-Yuan
Source
International Journal of Antennas and Propagation
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The complex frequency shifted (CFS) perfectly matched layer (PML) is proposed for the two-dimensional auxiliary differential equation (ADE) finite-difference time-domain (FDTD) method combined with Associated Hermite (AH) orthogonal functions.
According to the property of constitutive parameters of CFS-PML (CPML) absorbing boundary conditions (ABCs), the auxiliary differential variables are introduced.
And one relationship between field components and auxiliary differential variables is derived.
Substituting auxiliary differential variables into CPML ABCs, the other relationship between field components and auxiliary differential variables is derived.
Then the matrix equations are obtained, which can be unified with Berenger’s PML (BPML) and free space.
The electric field expansion coefficients can thus be obtained, respectively.
In order to validate the efficiency of the proposed method, one example of wave propagation in two-dimensional free space is calculated using BPML, UPML, and CPML.
Moreover, the absorbing effectiveness of the BPML, UPML, and CPML is discussed in a two-dimensional (2D) case, and the numerical simulations verify the accuracy and efficiency of the proposed method.
American Psychological Association (APA)
Jiang, Feng& Miao, Xiaoping& Lu, Feng& Su, Li-Yuan& Ma, Yao. 2017. The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions. International Journal of Antennas and Propagation،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1158751
Modern Language Association (MLA)
Jiang, Feng…[et al.]. The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions. International Journal of Antennas and Propagation No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1158751
American Medical Association (AMA)
Jiang, Feng& Miao, Xiaoping& Lu, Feng& Su, Li-Yuan& Ma, Yao. The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions. International Journal of Antennas and Propagation. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1158751
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1158751