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Modeling transmission of photonic crystal waveguide modes enhanced by Kerr nonlinearity.

机译：Kerr非线性增强了光子晶体波导模式的传输模型。

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摘要

Nonlinear modes of electromagnetic fields propagating in photonic crystal systems have been studied by implementing various computer simulation techniques using electromagnetic theory. The fundamentals of simulation of photonic crystals are analyzed using general purpose methodologies such as the FDTD or PWE methods. Information derived from the underlying physical insights into the systems could be utilized to describe the control mechanisms over the propagation of the modes around impurities in the photonic crystal lattice. The impurities trap the resonantly localized electromagnetic modes having a frequency in a stop band of the photonic crystal, suggesting novel optical controls in the photonic crystal systems. Our focus is on deepening understanding of the nonlinear modes existing within photonic crystal waveguides which interact with the Kerr nonlinearity of the controlling medium; this enables us to reveal specific mechanisms of the nonlinear systems and their potential nonlinear functions and applications. To gain full generality of the nonlinear modes of increasing complexity, we propose a novel theoretical approach, the difference equation waveguide, using Green’s function theory of the non-homogeneous system. The recursive difference equations for the photonic crystal waveguides are solved for the guided modes interacting with multiple bound modes localized on the impurity features. The interest is on the transmissivity of resonant scattering of the nonlinear modes arising from in- or off-channel features formed in Kerr dielectrics in a 2D photonic crystal. Here, the modes display the wide and interesting varieties of behavior present in the system including optical bistability and induced transparency. More interestingly, the transmissions are fully treated for the case in which the field dependence of Kerr dielectric properties, with enhancing nonlinear effects, allows two different frequency waveguide modes to interact with one another by a modulation of the Kerr properties. In this regard, we show the observation of one mode used to model numerically the transmission characteristics of the other, e.g., the propagation of one frequency mode can turn on and off the resonant transmission of the other along the waveguide channel.
机译：通过使用电磁理论实施各种计算机模拟技术，已经研究了光子晶体系统中传播的电磁场的非线性模式。使用诸如FDTD或PWE方法之类的通用方法来分析光子晶体的模拟基础。从对系统的潜在物理洞察力得出的信息可用于描述光子晶体晶格中杂质周围模式传播的控制机制。杂质捕获了具有在光子晶体的阻带中的频率的共振局部电磁模式，这表明在光子晶体系统中存在新颖的光学控制。我们的重点是加深对光子晶体波导内存在的非线性模式的理解，这些非线性模式与控制介质的Kerr非线性相互作用。这使我们能够揭示非线性系统的具体机制及其潜在的非线性功能和应用。为了完全掌握不断增加的非线性模式的普遍性，我们提出了一种新颖的理论方法，即差分方程波导，它使用非均匀系统的格林函数理论。求解了光子晶体波导的递归差分方程，以解决与杂质特征上的多个束缚模式相互作用的导模。人们对二维光子晶体中Kerr电介质中形成的通道内或通道外特征引起的非线性模的共振散射的透射率感兴趣。在这里，这些模式显示了系统中存在的多种有趣行为，包括光学双稳态和诱导透明性。更有趣的是，对于Kerr介电特性的场相关性（具有增强的非线性效应）允许两种不同频率的波导模式通过Kerr特性的调制相互影响的情况，对传输进行了充分的处理。在这方面，我们观察到一种用于对另一种传输特性进行数值建模的模式的观察，例如，一种频率模式​​的传播可以开启和关闭另一种模式沿着波导通道的共振传输。

著录项

  • 作者

    Rai, Buddhi M.;

  • 作者单位

    Western Michigan University.;

  • 授予单位 Western Michigan University.;
  • 学科 Physics General.;Physics Optics.;Physics Electricity and Magnetism.
  • 学位 Ph.D.
  • 年度 2012
  • 页码 185 p.
  • 总页数 185
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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