离散安德森散斑
Discrete Anderson Speckle
摘要：
当耦合波导的无序阵列用扩展的相干光场照明时，离散散斑产生：在晶格位置上具有颗粒强度分布的部分相干光。相同的范例适用于光子学中的各种其他设置，例如不完全耦合的谐振器或具有随机耦合芯的光纤。通过数值模拟和分析建模，我们发现了一组令人惊讶的功能，特点离散散斑在一维和二维晶格已知表现出横向安德森局域化。首先，局部化指纹被嵌入在离散散斑的波动中，并在空间相干函数的变窄中被揭示。其次，横向相干长度（或散斑粒度）在传播期间被冻结。第三，轴向相干深度与轴向位置无关，从而导致与位置无关的固定体积的相干体素。我们把这些独特的功能共同定义一个独特的制度，我们称之为离散安德森斑点。
英文摘要：
When a disordered array of coupled waveguides is illuminated with an extended coherent optical field, discrete speckle develops: partially coherent light with a granular intensity distribution on the lattice sites. The same paradigm applies to a variety of other settings in photonics, such as imperfectly coupled resonators or fibers with randomly coupled cores. Through numerical simulations and analytical modeling, we uncover a set of surprising features that characterize discrete speckle in one- and two-dimensional lattices known to exhibit transverse Anderson localization. Firstly, the fingerprint of localization is embedded in the fluctuations of the discrete speckle and is revealed in the narrowing of the spatial coherence function. Secondly, the transverse coherence length (or speckle grain size) is frozen during propagation. Thirdly, the axial coherence depth is independent of the axial position, thereby resulting in a coherence voxel of fixed volume independently of position. We take these unique features collectively to define a distinct regime that we call discrete Anderson speckle.
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