Cooperative scattering of scalar waves by optimized configurations of point scatterers
Cooperative scattering of scalar waves by optimized configurations of point scatterers
复制标题
通过点散射体的优化配置实现标量波的协同散射
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
T. Wellens
中科院分区：
文献类型：
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作者：
F. Schäfer;F. Eckert;T. Wellens
我们研究了三维N个共振点散射体系综对标量波的多重散射。对于N=21个散射体，我们对单个散射体的位置进行了数值优化，一方面最大化了入射平面波的总散射截面，另一方面最小化了与长寿命散射共振相关的衰减率。在这两种情况下，通过将所有散射体放置在与入射平面波方向平行的一条线上的配置来实现最佳。当N较大时，最大散射截面随散射体数目的增加呈二次曲线增加，而最小衰减率则随散射体的小随机位移呈指数下降。这些结果表明，散射体的优化配置在量子存储器或仅由几个原子组成的反射镜等方面具有相当大的应用潜力。
We investigate multiple scattering of scalar waves by an ensemble of N resonant point scatterers in three dimensions. For up to N = 21 scatterers, we numerically optimize the positions of the individual scatterers, to maximize the total scattering cross section for an incoming plane wave, on the one hand, and to minimize the decay rate associated to a long-lived scattering resonance, on the other. In both cases, the optimum is achieved by configurations where all scatterers are placed on a line parallel to the direction of the incoming plane wave. The associated maximal scattering cross section increases quadratically with the number of scatterers for large N, whereas the minimal decay rate—which is realized by configurations that are not the same as those that maximize the scattering cross section—decreases exponentially as a function of N. Finally, we also analyze the stability of our optimized configurations with respect to small random displacements of the scatterers. These results demonstrate that optimized configurations of scatterers bear a considerable potential for applications such as quantum memories or mirrors consisting of only a few atoms.