Discontinuities in Acoustic Wave-guide and the Reciprocity
This work includes numerical analysis of discontinuities in acoustic wave-guide and their properties in multi-mode case. It was suggested new version of reciprocity relations between wave-guide modes: between incident and transmitted and between incident and reflected modes. This new version of reciprocity relations transforms into old one in a case of single traveling mode.
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acoustic impedance acoustic medium acoustic wave axial symmetry basic discontinuities boundary conditions Calculated data calculation accuracy calculation errors Chapter coaxial opening collocation method corresponding cylindrical wave-guide diaphragm with coaxial discontinuities in cylindrical discontinuity diameter step discontinuity rigid diaphragm eA eA energy conservation law existing version expression f/frl flange frequency range Hence incident and reflected incident and transmitted incident signal junction Lamb version larger section larger tube Let us consider linear equations mathematical modal index modified reciprocity relations modified version numerical analysis numerical data observation point parameter power flux problem Rayleigh-Lamb version reciprocity properties reciprocity theorem reflected mode reflected waves reflection coefficient rigid wall single incident mode single traveling mode Skudrzyk smaller tube source of velocity source strength system of linear transmission coefficients transmission into larger transmission into smaller transmission/reflection coefficients transmitted modes traveling incident mode velocity potential wave number zero axial velocity