| Electrodynamic Analysis of Dissipative Electromagnetic Materials Based on Fractional Derivative |
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| 作者姓名： | 谭康伯 梁昌洪 党晓杰 |
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| 作者单位： | National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi＇an 710071 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 60601028. |
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| 摘 要： |
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| 关 键 词： | 电磁材料 电力学分析 电耗 电磁能 |
| 收稿时间： | 2006-9-30 |
| 修稿时间： | 2006-09-20 |
Electrodynamic Analysis of Dissipative Electromagnetic Materials Based on Fractional Derivative |
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| TAN Kang-Bo,LIANG Chang -Hong,DANG Xiao-Jie.Electrodynamic Analysis of Dissipative Electromagnetic Materials Based on Fractional Derivative[J].Chinese Physics Letters,2007,24(4):847-850. |
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| Authors: | TAN Kang-Bo LIANG Chang -Hong DANG Xiao-Jie |
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| Institution: | National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi'an 710071 |
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| Abstract: | The generalized Lagrangian is defined in a dissipative electromagnetic medium on the basis of the combination of dynamical analysis and fractional derivative. Lorentz medium models are obtained by formulating relevant Euler-Lagrange equations. The invariance is obtained subsequently by investigating the invariance of time variation in the system, and then the relation between the related Hamiltonian and electromagnetic energy density is investigated. Canonical equations are obtained eventually. The electrodynamic interpretation on dissipative electromagnetic systems is revealed. |
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