Abstract
Finite amplitude acoustic waves (FAAWs) that propagate in a two-dimensional rectangular duct of semi-infinite length as a result of periodic excitation are determined by using second-order perturbation, based on the partial wave analysis method. With second-harmonic boundary and initial conditions of excitation, second-harmonic analytical expressions, which are applicable to quantitative analysis, have been derived. In this manner, a physical mechanism of second-harmonic generation and propagation in the process of propagation of FAAWs is clearly displayed. Based on the formula, some numerical calculations are performed. The numerical results clearly exhibit the distortion and symmetry of second-harmonic field pattern for a given source of excitation.
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