Frequency-Dependent FDTD Algorithm Using Newmark’s Method
According to the characteristics of the polarizability in frequency domain of three common models of dispersive media, the relation between the polarization vector and electric field intensity is converted into a time domain differential equation of second order with the polarization vector by using...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2014/216763 |
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| _version_ | 1832556144976986112 |
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| author | Bing Wei Le Cao Fei Wang Qian Yang |
| author_facet | Bing Wei Le Cao Fei Wang Qian Yang |
| author_sort | Bing Wei |
| collection | DOAJ |
| description | According to the characteristics of the polarizability in frequency domain of three common models of dispersive media, the relation between the polarization vector and electric field intensity is converted into a time domain differential equation of second order with the polarization vector by using the conversion from frequency to time domain. Newmark βγ difference method is employed to solve this equation. The electric field intensity to polarizability recursion is derived, and the electric flux to electric field intensity recursion is obtained by constitutive relation. Then FDTD iterative computation in time domain of electric and magnetic field components in dispersive medium is completed. By analyzing the solution stability of the above differential equation using central difference method, it is proved that this method has more advantages in the selection of time step. Theoretical analyses and numerical results demonstrate that this method is a general algorithm and it has advantages of higher accuracy and stability over the algorithms based on central difference method. |
| format | Article |
| id | doaj-art-954693895d54435eae0ced0c8eb71e94 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-954693895d54435eae0ced0c8eb71e942025-02-03T05:46:16ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/216763216763Frequency-Dependent FDTD Algorithm Using Newmark’s MethodBing Wei0Le Cao1Fei Wang2Qian Yang3School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, ChinaAccording to the characteristics of the polarizability in frequency domain of three common models of dispersive media, the relation between the polarization vector and electric field intensity is converted into a time domain differential equation of second order with the polarization vector by using the conversion from frequency to time domain. Newmark βγ difference method is employed to solve this equation. The electric field intensity to polarizability recursion is derived, and the electric flux to electric field intensity recursion is obtained by constitutive relation. Then FDTD iterative computation in time domain of electric and magnetic field components in dispersive medium is completed. By analyzing the solution stability of the above differential equation using central difference method, it is proved that this method has more advantages in the selection of time step. Theoretical analyses and numerical results demonstrate that this method is a general algorithm and it has advantages of higher accuracy and stability over the algorithms based on central difference method.http://dx.doi.org/10.1155/2014/216763 |
| spellingShingle | Bing Wei Le Cao Fei Wang Qian Yang Frequency-Dependent FDTD Algorithm Using Newmark’s Method International Journal of Antennas and Propagation |
| title | Frequency-Dependent FDTD Algorithm Using Newmark’s Method |
| title_full | Frequency-Dependent FDTD Algorithm Using Newmark’s Method |
| title_fullStr | Frequency-Dependent FDTD Algorithm Using Newmark’s Method |
| title_full_unstemmed | Frequency-Dependent FDTD Algorithm Using Newmark’s Method |
| title_short | Frequency-Dependent FDTD Algorithm Using Newmark’s Method |
| title_sort | frequency dependent fdtd algorithm using newmark s method |
| url | http://dx.doi.org/10.1155/2014/216763 |
| work_keys_str_mv | AT bingwei frequencydependentfdtdalgorithmusingnewmarksmethod AT lecao frequencydependentfdtdalgorithmusingnewmarksmethod AT feiwang frequencydependentfdtdalgorithmusingnewmarksmethod AT qianyang frequencydependentfdtdalgorithmusingnewmarksmethod |