Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes

Abstract

This article is concerned with a flexible waveguide scattering problem arising in structural acoustics. A mode-matching solution framework is explained from the perspective of orthogonality relations for analyzing reflection and transmission of waves in the waveguide with discontinuous material properties and abrupt geometric changes. The energy flux and power balance are discussed and the results are elucidated through apposite numerical experiments.