Transverse Mode Localization in Three‐Dimensional Deterministic Aperiodic Structures
Transverse Mode Localization in Three‐Dimensional Deterministic Aperiodic Structures
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DOI：
10.1002/adom.201300494
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发表时间：
2014-03
影响因子：
9
通讯作者：
M. Renner;G. von Freymann
中科院分区：
文献类型：
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作者：
M. Renner;G. von Freymann
在晶体和非晶材料之间存在第三类固体物质，称为确定性非周期（DA）系统。根据Lebesgue分解定理，DA系统根据其晶格谱可分为三种基本形式：具有纯点谱的准晶体构成其中一种形式，而另外两种形式分别具有奇异连续谱和绝对连续谱。[ 1 ]对于3D系统，晶格光谱特性和由此产生的光学特性之间的联系在很大程度上尚未被探索。这主要是由于创建具有适当晶格相关性的材料的挑战。随着3D激光光刻技术的发展，3D光子准晶体才刚刚出现，但其尺寸相对较小。[ 2-4 ]迄今为止，还没有关于具有奇异或绝对连续晶格谱的3D DA结构的制造和表征的报道。到目前为止，实验研究仅限于一维[5，6]和二维[7，8]系统。将该领域扩展到3D结构为研究DA系统中的传输机制开辟了新的途径，甚至可能提供对波干涉现象的进一步了解，例如，安德森局域化和随机激光。[ 9-11 ]该材料的特性还有望在吸收增强或更有效的光提取方面改善电光应用。[ 12个]
Between crystals and amorphous materials a third class of solid matter exists, known as deterministic aperiodic (DA) systems. Following Lebesgue’s decomposition theorem DA systems can be subdivided into three fundamental forms according to their lattice spectra: Quasi-crystals with their pure-point spectrum constitute one of these forms whereas the other two are characterized by singularlyand absolutely-continuous spectra, respectively. [ 1 ] For 3D systems, the connection between lattice spectral properties and the resulting optical properties has remained largely unexplored. This is mainly due to the challenge in creating materials with the appropriate lattice correlations. With the progress in 3D laser lithography 3D photonic quasi-crystals just recently emerged, yet limited to relatively small dimensions. [ 2–4 ] No reports exist to date on the fabrication and characterization of 3D DA structures with singularlyor absolutely-continuous lattice spectra. So far, experimental studies are restricted to one[ 5,6 ] and two-dimensional [ 7,8 ] systems. Extending this fi eld to 3D structures opens new routes in studying transport mechanisms in DA systems and might even provide further insights into wave interference phenomena like, e.g., Anderson localization and random lasing. [ 9–11 ] The material’s characteristics also promise to improve electrooptical applications in terms of absorption enhancement or more effi cient light extraction. [ 12 ]