Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal

A. Kleshchev
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引用次数: 1

Abstract

Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.
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脉冲声信号辐照下硬弹性底平面波导中的解析散射体和非解析散射体
基于像线源和像线散射体的方法,解决了脉冲信号在理想(软)长方体内放置在具有硬弹性底的平面波导中的声音衍射问题。在工作中证明了这样的问题的表述消除了使用法向波方法的可能性,因为脉冲是能量束,因此只能分布到群速度上,而群速度是虚源方法固有的。文中通过计算得出,由于硬弹性底反射系数V是复数,且V的实部接近于1,0,这就对应了V绝对硬底。弹性硬底和绝对硬底的反射脉冲序列证实了这一方法。在文章的最后部分,在已有结果的基础上,求解了较为复杂的弹性非解析散射体处的衍射问题(方法积分方程),将其置于硬弹性底的平面波导中。
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