Polyharmonic distortion approach for nonlinear acoustic load characterization

In this work, we analytically characterize the acoustic properties of a one-port nonlinear acoustic sample loaded on a waveguide. The classical reflection coefficient is extended as a scattering matrix relating the incident wave fundamental and harmonics amplitudes to the backward wave fundamental and harmonics amplitudes. Assuming that the acoustic load is defined as a nonlinear differential equation relating the acoustic pressure and the associated volume velocity, the scattering matrix is obtained by combining the harmonic balance method and the polyharmonic distortion approach. Theoretical and numerical aspects are considered. The proposed method is exemplified on two acoustic nonlinear absorbers.

Automated summary

This work analytically characterizes the acoustic properties of a one-port nonlinear acoustic sample loaded on a waveguide by extending the classical reflection coefficient as a scattering matrix. The proposed method combines the harmonic balance method and the polyharmonic distortion approach, showing promising results in theoretical and numerical aspects on two acoustic nonlinear absorbers.