圆形波导不连续性的再展开方法：在同心中频扩展腔中的应用。
Re-expansion method for circular waveguide discontinuities: application to concentric expansion chambers.
机构信息
Department of Mechanical Engineering, SUNY Binghamton, Binghamton, New York 13902-6000, USA.
出版信息
J Acoust Soc Am. 2012 Feb;131(2):1158-71. doi: 10.1121/1.3675553.
The paper applies the re-expansion method for analyzing planar discontinuities at the junction of two axi-symmetrical circular waveguides. The normal modes in the two waveguides are expanded at the junction plane into a system of functions accounting for velocity singularities at the corner points. As the new expansion has a high convergence order, only a few terms have to be considered for obtaining the solution of most practical problems. This paper gives the equivalent impedance accounting for nonplanar waves into a plane-wave analysis and also the scattering matrix describing the coupling of arbitrary modes at each side of the discontinuity valid in the case of many propagating modes in both sides of the duct. The last section applies the re-expansion technique to some concentric expansion chambers providing an explicit formula for the transmission loss coefficient.
本文应用重展开方法分析了两个轴对称圆形波导连接处的平面不连续性。在连接平面上，两个波导中的法向模式展开为一个函数系统，该系统考虑了角点处的速度奇异。由于新的展开具有较高的收敛阶，因此仅需考虑几个项即可获得大多数实际问题的解。本文将考虑非平面波的等效阻抗纳入平面波分析，并给出了散射矩阵，该矩阵描述了不连续性两侧任意模式的耦合，在波导两侧存在多个传播模式的情况下，该矩阵是有效的。最后一部分将重展开技术应用于一些同心扩展腔，为传输损耗系数提供了一个显式公式。
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