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Transmission and Anderson localization in dispersive metamaterials

机译:色散超材料中的透射和安德森局部化

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摘要

Comprehensive theoretical and numerical studies of the effects of dispersion and absorption on the Anderson localization of classical waves in weakly disordered, one-dimensional stacks composed of dispersive metamaterials and normal materials are presented. An asymptotic analysis for studying the effects of dispersion and absorption is developed. It is shown that the localization of waves in random stacks composed entirely of either metamaterial or normal dielectric layers is completely suppressed at frequencies where the magnetic permeability or the dielectric permittivity is zero. In mixed stacks of alternating layers of normal and metamaterials with disorder present in either the dielectric permittivity or the magnetic permeability, localization is substantially suppressed not only at these frequencies but in essentially wider frequency ranges. When both the permittivity and the permeability are random, the localization behavior is similar to that in monotype stacks. At the transition from a double negative metamaterial to a single negative metamaterial, the transmission length drops dramatically in a manner that might be useful in optical switching. Polarization effects are also considered and it is shown that localization is suppressed at the Brewster angle, in a manner dependent on both the polarization and the nature of the disorder. Theoretical predictions are in excellent agreement with numerical calculations.
机译:对色散和吸收对经典波在弱无序,由色散超材料和正常材料组成的一维堆栈中的安德森局部化的影响进行了综合的理论和数值研究。建立了渐近分析,用于研究分散和吸收的影响。结果表明,在磁导率或介电常数为零的频率下,完全由超材料或普通介电层组成的随机叠堆中的波局部化被完全抑制。在介电常数或磁导率中存在无序的正常材料和超材料的交替层的混合堆叠中,不仅在这些频率处而且在基本上更宽的频率范围内,都基本上抑制了定位。当介电常数和磁导率都是随机的时,定位行为与单型堆叠中的类似。在从双重负超材料到单一负超材料的过渡过程中,传输长度以可能在光学开关中有用的方式急剧下降。还考虑了极化效应,并且表明以取决于极化和无序性的方式在布鲁斯特角处抑制了定位。理论预测与数值计算非常吻合。

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  • 来源
    《Physical review》 |2012年第4期|p.045122.1-045122.11|共11页
  • 作者单位

    Department of Mathematical Sciences and Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS),University of Technology, Sydney, NSW 2007, Australia;

    Department of Mathematical Sciences and Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS),University of Technology, Sydney, NSW 2007, Australia;

    Department of Mathematical Sciences and Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS),University of Technology, Sydney, NSW 2007, Australia;

    Department of Physics, Bar-Ilan University, Raman-Gan 52900, Israel;

    Department of Physics, Ben Gurion University of the Negev, Beer Sheva 84105, Israel,Nonlinear Physics Center and CUDOS, Australian National University, Canberra, ACT 0200, Australia;

    Nonlinear Physics Center and CUDOS, Australian National University, Canberra, ACT 0200, Australia;

    School of Physics and CUDOS, University of Sydney, Sydney, NSW 2006, Australia;

    Nonlinear Physics Center and CUDOS, Australian National University, Canberra, ACT 0200, Australia;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    wave propagation in random media; diffraction and scattering;

    机译:波在随机介质中的传播;衍射和散射;

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