Timotijević Dejan V, Vasiljević Jadranka M, Jović Savić Dragana M
Opt Express. 2022 Feb 28;30(5):7210-7224. doi: 10.1364/OE.447572.
We introduce numerical modeling of two different methods for the deterministic randomization of two-dimensional aperiodic photonic lattices based on Mathieu beams, optically induced in a photorefractive media. For both methods we compare light transport and localization in such lattices along the propagation, for various disorder strengths. A disorder-enhanced light transport is observed for all disorder strengths. With increasing disorder strength light transport becomes diffusive-like and with further increase of disorder strength the Anderson localization is observed. This trend is more noticeable for longer propagation distances. The influence of input lattice intensity on the localization effects is studied. The difference in light transport between two randomization methods is attributed to various levels of input lattice intensity. We observe more pronounced localization for one of the methods. Localization lengths differ along different directions, due to the crystal and lattice anisotropy. We analyze localization effects comparing uniform and on-site probe beam excitation positions and different probe beam widths.
我们介绍了基于在光折变介质中光学诱导的马蒂厄光束对二维非周期光子晶格进行确定性随机化的两种不同方法的数值建模。对于这两种方法，我们比较了在不同无序强度下，此类晶格中沿传播方向的光传输和局域化情况。在所有无序强度下均观察到无序增强的光传输。随着无序强度增加，光传输变得类似扩散，并且随着无序强度进一步增加，观察到安德森局域化。对于更长的传播距离，这种趋势更为明显。研究了输入晶格强度对局域化效应的影响。两种随机化方法之间的光传输差异归因于不同水平的输入晶格强度。我们观察到其中一种方法的局域化更为明显。由于晶体和晶格各向异性，局域化长度沿不同方向有所不同。我们通过比较均匀和在位探测光束激发位置以及不同探测光束宽度来分析局域化效应。
