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Transition from light diffusion to localization in three-dimensional amorphous dielectric networks near the band edge
Nature Communications ( IF 16.6 ) Pub Date : 2020-09-25 , DOI: 10.1038/s41467-020-18571-w
Jakub Haberko 1 , Luis S Froufe-Pérez 2 , Frank Scheffold 2
Affiliation  

Localization of light is the photon analog of electron localization in disordered lattices, for whose discovery Anderson received the Nobel prize in 1977. The question about its existence in open three-dimensional materials has eluded an experimental and full theoretical verification for decades. Here we study numerically electromagnetic vector wave transmittance through realistic digital representations of hyperuniform dielectric networks, a new class of highly correlated but disordered photonic band gap materials. We identify the evanescent decay of the transmitted power in the gap and diffusive transport far from the gap. Near the gap, we find that transport sets off diffusive but, with increasing slab thickness, crosses over gradually to a faster decay, signaling localization. We show that we can describe the transition to localization at the mobility edge using the self-consistent theory of localization based on the concept of a position-dependent diffusion coefficient.



中文翻译:

在带边缘附近的三维非晶介电网络中从光扩散到定位的转变

光的局域化是无序晶格中电子局域化的光子模拟,安德森因其发现而于 1977 年获得诺贝尔奖。几十年来,关于它在开放三维材料中存在的问题一直没有得到实验和完整的理论验证。在这里,我们通过超均匀介电网络(一类新的高度相关但无序的光子带隙材料)的真实数字表示来数值研究电磁矢量波透射率。我们确定了间隙中传输功率的渐逝衰减和远离间隙的扩散传输。在间隙附近,我们发现传输开始扩散,但随着板坯厚度的增加,逐渐过渡到更快的衰减,发出定位信号。

更新日期:2020-09-25
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