标题： 吸收不规则图的反射系数和维格纳反应矩阵分布的实验和数值研究 显示英文标题

标题： Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption

摘要： 我们展示了在存在强吸收的情况下，不规则完全连接的六边形网络（图）中反射系数 P(R) 的分布以及 Wigner 反应 K 矩阵的虚部 P(v) 和实部 P(u) 的分布的实验和数值研究结果。 在实验中，我们使用了由同轴电缆和通过接头连接的衰减器组成的微波网络。 在数值计算中，实验网络由量子完全连接的六边形图描述。 通过衰减器引入的吸收被建模为光学势。 反射系数 P(R) 的分布以及反应 K 矩阵的分布分别通过对网络和图的散射矩阵 S 的测量和数值计算得到。 我们表明，实验和数值结果与在随机矩阵理论（RMT）框架内获得的精确解析结果有很好的一致性。 显示英文摘要

摘要： We present the results of experimental and numerical study of the distribution of the reflection coefficient P(R) and the distributions of the imaginary P(v) and the real P(u) parts of the Wigner's reaction K matrix for irregular fully connected hexagon networks (graphs) in the presence of strong absorption. In the experiment we used microwave networks, which were built of coaxial cables and attenuators connected by joints. In the numerical calculations experimental networks were described by quantum fully connected hexagon graphs. The presence of absorption introduced by attenuators was modelled by optical potentials. The distribution of the reflection coefficient P(R) and the distributions of the reaction K matrix were obtained from the measurements and numerical calculations of the scattering matrix S of the networks and graphs, respectively. We show that the experimental and numerical results are in good agreement with the exact analytic ones obtained within the framework of random matrix theory (RMT).