一种谐振狭缝式声能分配器的设计
Design of an acoustic energy distributor using thin resonant slits
摘要：
本文研究了时间谐波声波在三通道器件中的传播。选择波数，使得只有活塞模式可以传播。这项工作的主要目标是提出一个几何形状，可以作为一个能量分配器。更确切地说，首先设计几何形状，使得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，通过调整两个几何参数，可以控制两个通道中传输的能量的比例。该方法是基于共振长度附近的薄缝的渐近分析。我们还提供了数值结果来说明理论。
英文摘要：
We consider the propagation of time harmonic acoustic waves in a device with three channels. The wave number is chosen such that only the piston mode can propagate. The main goal of this work is to present a geometry 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, tuning a bit 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.
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