声波导模式散射系数的互易性。

Reciprocity in the scattering coefficients of acoustic waveguide modes.

机构信息

School of Mechanical and Chemical Engineering, The University of Western Australia, Crawley, WA 6009, Australia.

出版信息

J Acoust Soc Am. 2013 Sep;134(3):1731-4. doi: 10.1121/1.4816408.

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.

摘要

在这封信中，提供了一个由连接的波导通过接头外壳的模态散射系数之间的互易性的证明。该结果适用于所有波导模式和在接头和波导之间的界面之外具有局部反应边界条件的接头外壳。还提供了模态散射系数互易性的物理解释。矩形管道中直角弯对二维波导模式的散射用作说明示例。