薄介质片时域积分方程方法的电磁散射分析

发布时间：2018-04-05 11:17

本文选题：薄介质片时域积分方程　切入点：瞬态电磁散射　出处：《南京理工大学》2017年硕士论文

【摘要】：在实际电磁工程应用问题中,经常会牵涉到多层薄介质的电磁散射问题。对薄介质结构,当介质片厚度相对于介质波长很小时,计算电磁学中经典的积分类方法如体积分方程方法未知量大,且求解时迭代很难收敛。本文提出的薄介质片时域积分方程方法能够有效解决以上问题。首先,针对薄介质片这类特殊的结构,本文提出了薄介质片时域积分方程方法。该方法是以时域体积分方程为基础,通过适当的近似处理,将时域体积分方程转化为时域面积分方程,因此大大减少了未知量。为了更好地应用,我们把单层薄介质片时域积分方程方法推广到了多层结构中。其次,针对色散薄介质片瞬态电磁散射,本文提出了色散薄介质片时域积分方程方法。该方法是通过体等效源来构造色散薄介质片的时域积分方程,并利用时域递归卷积方法构建电场强度与电通量密度之间的联系,最后由电通量密度得到体极化电流。最后,本文分析了石墨烯电导率的影响因素,观察了偏置电压对石墨烯电导率的调控作用,并利用薄介质片时域积分方程方法分析了石墨烯贴片的物理尺寸和石墨烯电导率对其瞬态电磁散射特性的影响。
[Abstract]:In the practical application of electromagnetic engineering, the electromagnetic scattering problem of multilayer thin medium is often involved.For thin dielectric structures, when the thickness of dielectric plates is very small relative to the wavelength of the medium, the classical integral methods in electromagnetics, such as the volume integral equation method, have large unknown quantities, and the iteration is difficult to converge.The time domain integral equation method proposed in this paper can effectively solve the above problems.Firstly, for the special structure of thin dielectric sheet, a time domain integral equation method for thin dielectric sheet is presented in this paper.The method is based on the time-domain volumetric fraction equation and is transformed into the time-domain area fractional equation by proper approximation, thus greatly reducing the unknown amount.For better application, we extend the time domain integral equation method of single layer thin dielectric sheet to multilayer structure.Secondly, for the transient electromagnetic scattering of dispersive thin dielectric sheet, a time domain integral equation method is proposed.The time domain integral equation of dispersive thin dielectric sheet is constructed by volume equivalent source, and the relation between electric field intensity and flux density is constructed by time domain recursive convolution method. Finally, the volume polarization current is obtained from the flux density.Finally, the factors affecting the conductivity of graphene are analyzed, and the effect of bias voltage on the conductivity of graphene is observed.The effects of the physical size of graphene patch and the conductivity of graphene on the transient electromagnetic scattering characteristics were analyzed by using the time domain integral equation method of thin dielectric sheet.
【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN011

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