We consider the propagation of time-harmonic acoustic waves in a device made of three unbounded channels connected by thin slits. The wavenumber is chosen such that only one mode can propagate. The main goal of this work is to present a device which can serve as an energy distributor. More precisely, the geometry is first designed so that for an incident wave coming from one channel, the energy is almost completely transmitted in the two other channels. Additionally, adjusting slightly two geometrical parameters, we can control the ratio of energy transmitted in the two channels. The approach is based on asymptotic analysis for thin slits around resonance lengths. We also provide numerical results to illustrate the theory.

我们考虑了时谐声波在由三个通过细缝连接的无边界通道组成的设备中的传播。选择波数使得仅一种模式可以传播。这项工作的主要目的是提出一种可以用作能量分配器的设备。更准确地说，首先设计几何形状，以便对于来自一个通道的入射波，能量几乎完全在另外两个通道中传输。另外，稍微调整两个几何参数，我们就可以控制在两个通道中传输的能量的比率。该方法基于对共振长度周围的细缝进行渐近分析。我们还提供数值结果来说明该理论。