Effects of polarization on the transmission and localization of classical waves in weakly scattering metamaterials
Effects of polarization on the transmission and localization of classical waves in weakly scattering metamaterials
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DOI：
10.1103/physrevb.82.205124
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发表时间：
2010-11-29
影响因子：
3.7
通讯作者：
Kivshar, Yuri S.
中科院分区：
文献类型：
--
作者：
Asatryan, Ara A.;Botten, Lindsay C.;Kivshar, Yuri S.
我们总结了我们的全面的分析和数值研究的结果偏振的安德森本地化的经典波在一维随机堆栈的影响。我们考虑完全由正常材料或超材料组成的均匀堆叠，以及由正常材料和超材料的交替层组成的混合堆叠。我们推广了以前对正入射情况的理论研究[A. A. Asatryan等人，Phys. Rev. B 81，075124（2010）]中描述的方法。对于折射率和层厚度都是随机的一般情况下，我们得到的长波和短波渐近的本地化长度在很宽的入射角范围内（包括布鲁斯特“异常”角）。在布鲁斯特角，我们表明，长波本地化长度是成比例的波长的平方，为正常入射的情况下，但与比例系数大大大于正常入射。在只有折射率无序的混合堆栈中，我们证明了p偏振波是强烈本地化的，而对于s偏振的本地化基本上被抑制，在正常入射的情况下。在只有厚度无序的情况下，我们还研究了在布鲁斯特角从定域到离域的转变。
We summarize the results of our comprehensive analytical and numerical studies of the effects of polarization on the Anderson localization of classical waves in one-dimensional random stacks. We consider homogeneous stacks composed entirely of normal materials or metamaterials, and also mixed stacks composed of alternating layers of a normal material and a metamaterial. We extend the theoretical study developed earlier for the case of normal incidence [A. A. Asatryan et al., Phys. Rev. B 81, 075124 (2010)] to the case of off-axis incidence. For the general case where both the refractive indices and layer thicknesses are random, we obtain the long-wave and short-wave asymptotics of the localization length over a wide range of incidence angles (including the Brewster "anomaly" angle). At the Brewster angle, we show that the long-wave localization length is proportional to the square of the wavelength, as for the case of normal incidence, but with a proportionality coefficient substantially larger than that for normal incidence. In mixed stacks with only refractive-index disorder, we demonstrate that p-polarized waves are strongly localized, while for s polarization the localization is substantially suppressed, as in the case of normal incidence. In the case of only thickness disorder, we study also the transition from localization to delocalization at the Brewster angle.