Design of an acoustic energy distributor using thin resonant slits

TL;DR

This paper designs a geometric device using thin resonant slits to effectively distribute acoustic energy among three channels, with tunable energy ratios, based on asymptotic analysis and numerical validation.

Contribution

It introduces a novel geometry for acoustic energy distribution that allows near-complete transfer and tunable energy ratios using asymptotic analysis of thin resonant slits.

Findings

Effective energy distribution among channels achieved

Tunable energy ratios demonstrated

Numerical results validate the theoretical design

Abstract

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.