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Electrodynamic Analysis of Dissipative Electromagnetic Materials Based on Fractional Derivative 下载免费PDF全文
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. 相似文献
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维数连续可变康托尔集分层介质中波的反射透射特性 总被引:1,自引:0,他引:1
本文研究了波通过一类可连续控制分维的广义Cantor集合介质层的反射透射频谱特性。利用自相似性,给出了任意分维情况的一般计算方法,从而使我们能研究反射透射频谱随分维的变化特点,并认识到,在一般分维下,谱具有广义自相似性和“混沌”周期性,这是一种新的物理现象,必定蕴藏着一定的实用价值。 相似文献
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We present a theoretical analysis of the stability of screening-photovoltaic (SP) spatial solitons in biased photovoltaic-photorefractive materials in the case of neglecting the loss of the material and the effect of diffusion. When an incident optical beam is a SP soliton, this beam propagates along a linear path with its shape kept unchanged. When the maximum amplitude, width and functional form of an incident optical beam are slightly different from those of a SP soliton, the beam reshapes itself and tries to evolve into a solitary wave after a short distance. That is, these SP solitons are stable against small perturbations. However, optical beams that significantly differ from SP soliton solutions tend to experience larger cycles of compression and expansion, and their maximum amplitudes oscillate with propagation distances. The larger the perturbations, the stronger the oscillation. 相似文献