École Nationale Supérieure de
Techniques Avancées

Abstract

This project focuses on the solution of a wave propagation problem with normal incidence in a waveguide containing a Helmholtz resonator. The proposed method is based on an asymptotic analysis which will allow us to propose a solution that describes precisely the behavior of the Helmholtz resonator and in particular its sub-wavelength resonance. The report includes the solution of the problem by direct numerical method (the reference method)and by asymptotic method (the object of the study). It also contains a comparison of the results of both methods and an analysis of these results.