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Disordered Potential Landscapes for Anomalous Delocalization and Superdiffusion of Light
ACS Photonics ( IF 7 ) Pub Date : 2018-01-30 00:00:00 , DOI: 10.1021/acsphotonics.7b01532
Sunkyu Yu 1 , Xianji Piao 1 , Namkyoo Park 1
Affiliation  

The prominent distinction between order and disorder in optics has been understood in terms of the spatial spreading of waves. In the Anderson picture of optical disorder, light localization has been elucidated by the interference of multiple scatterings from disorders, thus implying a natural correspondence between the localization and disordered potentials. Here, we focus on the disorder of a wave itself to achieve a new class of disordered optical potentials with continuous landscapes, distinguished from conventional Anderson disorder or abnormal disorders in discrete systems. Starting from the disordered but extended ground state for the Schrödinger-like wave equation, we inversely develop the landscape of an optical potential, the disorder pattern of which is similar to Brownian random-walk motion. We then demonstrate that the modes in such a structure can extend over an anomalously large region of space, and also exhibit superdiffusive wave transport. Such behaviors are in contrast to the wavelength-scale localization commonly referred to as Anderson localization in conventional disordered potentials. Our results enable wave delocalization and signal transport in generalized disordered potentials with anomalous modal properties, without the aid of interactions between on-site and hopping energies.

中文翻译:

异常离域和光超扩散的无序潜在景观

根据波的空间扩展,已经理解了光学中有序和无序之间的显着区别。在安德森的光学障碍图中,光的局域性已被来自障碍的多重散射的干扰所阐明,因此暗示了局域性和无序势能之间的自然对应关系。在这里,我们将重点放在波本身的无序性上,以实现具有连续景观的新型无序光势,这与常规的安德森无序或离散系统中的异常无序是有区别的。从类似于Schrödinger波动方程的无序但扩展的基态开始,我们反向发展了光势的景观,其无序模式类似于布朗随机行走运动。然后,我们证明了这种结构中的模式可以在异常大的空间区域上扩展,并且还表现出超扩散波传输。此类行为与通常在常规无序电势中通常称为安德森定位的波长范围定位相反。我们的结果使波的离域和信号传输能够在具有异常模态特性的广义无序电势中进行,而无需借助现场能量和跳跃能量之间的相互作用。
更新日期:2018-01-30
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