论文标题
通过随机矩阵理论方法实施非全世界特征：应用于空间到配置的多路复用
Implementing Non-Universal Features with a Random Matrix Theory Approach: Application to Space-to-Configuration Multiplexing
论文作者
论文摘要
我们考虑在微波域中的元图可编程混沌腔的随机配置中多路复用的空间编码信息的效率。研究了通道矩阵的有效等级的分布，以量化通道多样性并评估特定系统的性能。系统特异性特征（例如未固定的场）会产生非平凡的通道间相关性，并且需要在基于随机矩阵理论的建模中正确考虑。为了应对这一挑战，我们提出了两步混合方法。基于实验测量的散射矩阵的集合，用于不同的随机跨表面配置，我们首先学习一对特定于系统的耦合矩阵和对汉密尔顿人的未施加贡献，然后添加适当加权的搅拌贡献。我们验证我们的方法能够以良好的精度再现实验发现的有效等级的分布。该方法也可以应用于复杂介质中的其他波浪现象。
We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is studied to quantify the channel diversity and to assess a specific system's performance. System-specific features such as unstirred field components give rise to nontrivial inter-channel correlations and need to be properly accounted for in modelling based on random matrix theory. To address this challenge, we propose a two-step hybrid approach. Based on an ensemble of experimentally measured scattering matrices for different random metasurface configurations, we first learn a system-specific pair of coupling matrix and unstirred contribution to the Hamiltonian, and then add an appropriately weighted stirred contribution. We verify that our method is capable of reproducing the experimentally found distribution of the effective rank with good accuracy. The approach can also be applied to other wave phenomena in complex media.
