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 interchannel correlations and need to be properly accounted for in modeling 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.

中文翻译：

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使用随机矩阵理论方法实现非通用特征：在空间配置多路技术中的应用。

我们考虑在微波域中跨超表面可编程混沌腔的随机配置跨空间编码信息的复用效率。研究信道矩阵的有效秩的分布以量化信道分集并评估特定系统的性能。系统特定的功能（例如非搅拌的场分量）会引起非平凡的通道间相关性，因此在基于随机矩阵理论的建模中需要适当考虑。为了应对这一挑战，我们提出了一种两步混合方法。基于针对不同随机次表面配置的实验测量散射矩阵的整体，我们首先学习系统特定的耦合矩阵对以及对汉密尔顿函数的无扰贡献，然后添加适当加权的搅拌贡献。我们验证了我们的方法能够以良好的精度重现实验发现的有效等级的分布。该方法还可以应用于复杂介质中的其他波动现象。