Design of an acoustic energy distributor using thin resonant slits
Analysis of PDEs
2021-04-07 v2 Numerical Analysis
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2011.06810,
title = {Design of an acoustic energy distributor using thin resonant slits},
author = {Lucas Chesnel and Sergei A. Nazarov},
journal= {arXiv preprint arXiv:2011.06810},
year = {2021}
}