title: Reciprocity in the scattering coefficients of acoustic waveguide modes.
abstract: In this Letter, a proof is provided for the reciprocity between modal scattering coefficients of the acoustic waveguides connected by a junction enclosure. The result holds for all waveguide modes and for junction enclosures with locally reactive boundary conditions away from the interfaces between the junction and waveguides. Also provided is a physical interpretation of the reciprocity of the modal scattering coefficients. The scattering of two-dimensional waveguide modes by a right-angled bend in a rectangular duct is used as an illustrating example.
authors: School of Mechanical and Chemical Engineering, The University of Western Australia, Crawley, WA 6009, Australia.
authors: Yuhui
authors: Y
authors: Tong
authors: Jie
authors: J
authors: Pan
mesh_terms: D000162:Acoustics; D008962:Models, Theoretical; D009038:Motion; D011312:Pressure; D012542:Scattering, Radiation; D013016:Sound; D013997:Time Factors