The present paper extends the scope of a previous paper of one of the authors. The modal decomposition is used to obtain both an exact result in a matrix form and a variational formulation for the description of the insertion of a branched tube on a main waveguide where only the planar mode propagates. Two representations are given: a two-port junction and a three-port junction, with their equivalent circuits. Results are given for the 2D, rectangular geometry case, with a discussion of some approximations and convergence problems. Concerning the circular geometry, new formulae are given and compared with results determined with the boundary element method.
|Original language||English (US)|
|Number of pages||17|
|Journal||Acta Acustica (Stuttgart)|
|State||Published - 1999|
ASJC Scopus subject areas
- Acoustics and Ultrasonics