A study of wave propagation in varying cross-section waveguides by modal decomposition. Part II. Results

Abstract

The full derivation of the equations governing the generalized impedance matrix Z, the pressure, and the velocity were presented in Part I of this series [Pagneux et al., J. Acoust. Soc. Am. 100, 2034–2048 (1996)]. Here only the results of that paper, i.e., the final set of equations which needed to be solved are repeated. Other factors influencing the solution are the boundary conditions at the end of the waveguide: Source and radiation conditions are also presented. Finally, the details of the numerical implementation are also relevant, and will be discussed in some detail.