An Extended Newmark-FDTD Method for Complex Dispersive Media
Based on polarizability in the form of a complex quadratic rational function, a novel finite-difference time-domain (FDTD) approach combined with the Newmark algorithm is presented for dealing with a complex dispersive medium. In this paper, the time-stepping equation of the polarization vector is d...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2018/1573512 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558627729178624 |
|---|---|
| author | Yu-Qiang Zhang Peng-Ju Yang |
| author_facet | Yu-Qiang Zhang Peng-Ju Yang |
| author_sort | Yu-Qiang Zhang |
| collection | DOAJ |
| description | Based on polarizability in the form of a complex quadratic rational function, a novel finite-difference time-domain (FDTD) approach combined with the Newmark algorithm is presented for dealing with a complex dispersive medium. In this paper, the time-stepping equation of the polarization vector is derived by applying simultaneously the Newmark algorithm to the two sides of a second-order time-domain differential equation obtained from the relation between the polarization vector and electric field intensity in the frequency domain by the inverse Fourier transform. Then, its accuracy and stability are discussed from the two aspects of theoretical analysis and numerical computation. It is observed that this method possesses the advantages of high accuracy, high stability, and a wide application scope and can thus be applied to the treatment of many complex dispersion models, including the complex conjugate pole residue model, critical point model, modified Lorentz model, and complex quadratic rational function. |
| format | Article |
| id | doaj-art-ebf967305dc24ffc82f5a599ac580d76 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-ebf967305dc24ffc82f5a599ac580d762025-02-03T01:32:04ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/15735121573512An Extended Newmark-FDTD Method for Complex Dispersive MediaYu-Qiang Zhang0Peng-Ju Yang1School of Physics and Electronic Information, Yanan University, Yan’an 716000, ChinaSchool of Physics and Electronic Information, Yanan University, Yan’an 716000, ChinaBased on polarizability in the form of a complex quadratic rational function, a novel finite-difference time-domain (FDTD) approach combined with the Newmark algorithm is presented for dealing with a complex dispersive medium. In this paper, the time-stepping equation of the polarization vector is derived by applying simultaneously the Newmark algorithm to the two sides of a second-order time-domain differential equation obtained from the relation between the polarization vector and electric field intensity in the frequency domain by the inverse Fourier transform. Then, its accuracy and stability are discussed from the two aspects of theoretical analysis and numerical computation. It is observed that this method possesses the advantages of high accuracy, high stability, and a wide application scope and can thus be applied to the treatment of many complex dispersion models, including the complex conjugate pole residue model, critical point model, modified Lorentz model, and complex quadratic rational function.http://dx.doi.org/10.1155/2018/1573512 |
| spellingShingle | Yu-Qiang Zhang Peng-Ju Yang An Extended Newmark-FDTD Method for Complex Dispersive Media International Journal of Antennas and Propagation |
| title | An Extended Newmark-FDTD Method for Complex Dispersive Media |
| title_full | An Extended Newmark-FDTD Method for Complex Dispersive Media |
| title_fullStr | An Extended Newmark-FDTD Method for Complex Dispersive Media |
| title_full_unstemmed | An Extended Newmark-FDTD Method for Complex Dispersive Media |
| title_short | An Extended Newmark-FDTD Method for Complex Dispersive Media |
| title_sort | extended newmark fdtd method for complex dispersive media |
| url | http://dx.doi.org/10.1155/2018/1573512 |
| work_keys_str_mv | AT yuqiangzhang anextendednewmarkfdtdmethodforcomplexdispersivemedia AT pengjuyang anextendednewmarkfdtdmethodforcomplexdispersivemedia AT yuqiangzhang extendednewmarkfdtdmethodforcomplexdispersivemedia AT pengjuyang extendednewmarkfdtdmethodforcomplexdispersivemedia |