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随机非均匀介质中的跃迁散射

Transition scattering in stochastically inhomogeneous media.

作者信息

Pavlov V, Tito E P

机构信息

California Institute of Technology, Pasadena, California 91125, USA.

出版信息

J Acoust Soc Am. 2009 Feb;125(2):676-89. doi: 10.1121/1.3058633.

Abstract

When a physical object ("a source") without its own eigenfrequency moves through an acoustically homogeneous medium, the only possible form of acoustic radiation is the emission of Mach shock waves, which appear when the source velocity surpasses sonic speed. In nonhomogeneous media, in nonstationary media, or in the neighborhood of such media, the source motion is accompanied by the so-called "transition" radiation (diffraction or scattering), which has place even when the source moves with subsonic velocity. Key features pertaining to the formation of the acoustical transition scattering in media with fluctuating acoustical parameters are established. To analytically study the effect, the Green's function method formulated in terms of functional derivatives is used. The relationship between the wave number and frequency, k=k(omega), for acoustic waves is found. The results serve to determine the phasing conditions necessary for opening the transition scattering and Cherenkov radiation channel and to establish the physical explanation for the phenomenon-scattering (transformation) on inhomogeneities of the accompanied source field; i.e., formation of radiation appears when the attached field readjusts back to the equilibrium state after being deformed while passing through the fluctuations of the medium.

摘要

当一个没有自身固有频率的物理物体(“源”)在声学均匀介质中移动时,唯一可能的声辐射形式是马赫冲击波的发射,当源速度超过声速时就会出现这种情况。在非均匀介质、非平稳介质或此类介质附近,源的运动伴随着所谓的“过渡”辐射(衍射或散射),即使源以亚声速移动也会发生这种情况。确定了与具有波动声学参数的介质中声过渡散射形成有关的关键特征。为了对这种效应进行分析研究,使用了根据泛函导数表述的格林函数方法。找到了声波的波数与频率之间的关系,即k = k(ω)。这些结果有助于确定开启过渡散射和切伦科夫辐射通道所需的相位条件,并为伴随源场不均匀性上的散射(变换)现象建立物理解释;也就是说,当附加场在穿过介质波动时变形后重新调整回到平衡状态时,就会形成辐射。

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