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声阻抗转换器的研究
引用本文:张宇,杜功焕.声阻抗转换器的研究[J].应用声学,1998,17(1):1-6.
作者姓名:张宇  杜功焕
作者单位:南京大学声学研究所!南京,210093,南京大学声学研究所!南京,210093
摘    要:描述不均匀传输线中的声反射系数可以归结为求解一种非线性微分方程(Riccati方程),本文探索一条寻找此类方程解析解的新方法,并利用此方法研究了声阻抗转换器,从而大大拓宽了声阻抗转换器阻抗分布的研究范围,作为例子,本文提出了几种阻抗变换形式,并把它们的功率传输效率与已有的均匀及指数型转换器作比较,计算结果表明:当转换器两端与传输介质的阻抗跃变很大时,某些阻抗转换器的传输效率比均匀及指数型转换器高得多.

关 键 词:声阻抗转换器  黎卡提方程  功率传输效率

Study on the acoustic impedance transformer
Zhang Yu and Du Gonghuan.Study on the acoustic impedance transformer[J].Applied Acoustics,1998,17(1):1-6.
Authors:Zhang Yu and Du Gonghuan
Institution:The Institute of Acoustics, Nanjing University Nanjing 210093;The Institute of Acoustics, Nanjing University Nanjing 210093
Abstract:Describing the reflection coefficient in a nonuniform transmission line resultin a nonlinear differential equations, the Riccati equation. A new method of obtainingthe analytical solution for this equation is derived. This extends the application of animpedance transformer into a wider field. As examples, some kinds of impedance profilesare presented, and their power transmission curves are compared with those of the uniform and the exponential ones. Computed curves demonstrate that the maximum powertransmissions of these impedance transformers can be much higher than those exhibitedby the linear and the exponential tapers when high impedance jumps exist at the transformer interfaces.
Keywords:Impedance transformer  Riccati equation  Power transmission efficiency
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