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Experimental determination of acoustic resonance width via the Argand Diagram

机译:通过Argand图实验确定声共振宽度

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A new method to determine the elastic resonance characteristics (the resonance frequency and the associated width) of acoustic targets imbedded in a fluid medium is presented. The basic idea is that the resonant pressure exhibits a Breit-Wigner spectral form as the Resonance Scattering Theory (R.S.T.) has previously shown. This typical resonant shape obeys a complex expression whose presentation in the complex pressure plane (the Argand diagram of the resonance) has useful mathematical singularities. The theoretical characteristics of an elastic resonance can be obtained using only the geometrical properties of the Breit-Wigner form. Furthermore, this determination does not need the equation of the background to be invoked. From the experimental point of view, the same approach is possible. However, the sampling and the time limited recording of a temporal signal modify in a non linear way the expected resonant spectrum. Hence, the temporal resonance duration alters the aspect of the Breit-Wigner resonant form. As a result, because of the presence of this supplementary factor, the experimental determination of the resonance characteristics becomes more complicated. Nevertheless, a procedure is proposed and the experimental results agree with the theoretical ones. [References: 8]
机译:提出了一种确定嵌入流体介质中的声学目标的弹性共振特性(共振频率和相关宽度)的新方法。基本思想是共振压力表现出Breit-Wigner频谱形式,如共振散射理论(R.S.T.)先前所示。这种典型的共振形状遵循一个复杂的表达式,该表达式在复杂压力平面中的表示(共振的Argand图)具有有用的数学奇点。只能使用Breit-Wigner形式的几何特性来获得弹性共振的理论特性。此外,该确定不需要调用背景方程。从实验的角度来看,相同的方法是可能的。但是,时间信号的采样和时间限制记录以非线性方式修改了预期的共振频谱。因此,时间共振持续时间改变了布赖特-维格纳共振形式的方面。结果,由于该补充因素的存在,共振特性的实验确定变得更加复杂。尽管如此,仍提出了一种程序,实验结果与理论值相符。 [参考:8]

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