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Propagation of electromagnetic radiation in some linear and nonlinear dielectric stacks

机译:电磁辐射在某些线性和非线性介质堆中的传播

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摘要

In this dissertation, we study the propagation of electromagnetic radiation in dielectric stacks, a class of structures made up of layers of dielectric which we assume to be lossless and nondispersive. We consider stacks composed of linear dielectrics with and without a nonlinearity. For computational simplicity, we often consider two specific types of dielectric stacks which we refer to as alternating and impurity stacks. Successive layers in an alternating stack alternate between two different types of dielectrics. The impurity stack is defined to be an alternating stack with one layer modified to create an \u22impurity\u22 layer;We first study the propagation of steady-state radiation in linear alternating and impurity stacks. Exact solutions for the electric field in alternating and impurity stacks with an infinite number of layers are obtained. There are ranges of frequencies and angles of incidence for which both stacks have physically allowed and forbidden solutions. The infinite impurity stack also has a localized solution which is exponentially localized about the impurity layer. Expressions for the transmissivity of alternating and impurity stacks with a finite number of layers are derived. There are ranges of frequencies and angels of incidence for which both types of stacks have high and low transmissivity. There is also an isolated transmission peak for impurity stacks due to the localized solution. We also discuss an experiment which verifies the existence of localized solutions;We next study pulses of radiation in arbitrary linear stacks. We derive a general solution for the radiation transmitted through a class of stacks. If incident radiation is of finite duration, transmitted radiation will decay exponentially with a decay time characteristic of the given stack. We find that the decay times of impurity stacks are anomalously longer than those of alternating stacks. This is due to the occurrence of localized solutions in impurity stacks;We next include a single delta function Kerr nonlinearity in the center of alternating and impurity stacks. For incident steady-state radiation, these systems can exhibit bistability. We find that the localized solution in the impurity stack enhances bistability. Necessary conditions for the occurrence of bistability in a single dielectric layer with a single nonlinearity are derived;Finally, we study pulses of radiation incident on a single delta function Kerr nonlinearity in vacuum. We obtain approximate analytic solutions as well as the complete numerical solution. We also briefly discuss the serious obstacles involved with studying arbitrary stacks with a delta function nonlinearity.
机译:在本文中,我们研究了电磁辐射在电介质堆叠中的传播,电介质堆叠是一类由电介质层组成的结构,我们认为该结构是无损且非分散的。我们考虑由线性电介质组成的具有或不具有非线性的堆叠。为了简化计算,我们经常考虑两种特定类型的电介质堆,我们将其称为交替堆和杂质堆。交替堆叠中的连续层在两种不同类型的电介质之间交替。杂质堆栈被定义为具有一层经过修改以形成\​​ u22杂质\ u22层的交替堆栈;我们首先研究稳态辐射在线性交替堆栈和杂质堆栈中的传播。获得了具有无限数量的层的交替堆和杂质堆中电场的精确解。有频率范围和入射角范围,两个堆栈在物理上都允许和禁止解决。无限杂质堆栈还具有局部溶液,该局部溶液围绕杂质层呈指数分布。推导了具有有限层数的交替堆和杂质堆的透射率的表达式。在一定频率范围和入射角下,两种类型的烟囱都有高和低的透射率。由于存在局部溶液,因此杂质堆叠也有一个隔离的传输峰。我们还讨论了一个验证局部解存在性的实验;接下来我们研究任意线性堆栈中的辐射脉冲。我们推导了通过一类烟囱传输的辐射的一般解决方案。如果入射辐射的持续时间有限,则透射辐射将以给定堆栈的衰减时间特性呈指数衰减。我们发现,杂质堆栈的衰减时间比交替堆栈的异常长。这是由于在杂质堆栈中出现了局部溶液;接下来,我们在交替堆栈和杂质堆栈的中心包含单个delta函数Kerr非线性。对于入射的稳态辐射,这些系统可以表现出双稳态。我们发现杂质堆栈中的局部溶液增强了双稳态。推导了在具有单个非线性的单个介电层中发生双稳态的必要条件;最后,我们研究了在真空中入射到单个三角函数Kerr非线性的辐射脉冲。我们获得了近似的解析解以及完整的数值解。我们还简要讨论了研究具有德尔塔函数非线性的任意堆栈所涉及的严重障碍。

著录项

  • 作者

    Stuve, Steven R.;

  • 作者单位
  • 年度 1991
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
  • 中图分类

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