Abstract This paper is concerned with the development of imaging methods to localize sources or reflectors in inhomogeneous moving media with acoustic waves that have travelled through them. A typical example is the localization of broadband acoustic sources in a turbulent jet flow for aeroacoustic applications. The proposed algorithms are extensions of Kirchhoff migration (KM) and coherent interferometry (CINT) which have been considered for smooth and randomly inhomogeneous quiescent media so far. They are constructed starting from the linearized Euler equations for the acoustic perturbations about a stationary ambient flow. A model problem for the propagation of acoustic waves generated by a fixed point source in an ambient flow with constant velocity is addressed. Based on this result imaging functions are proposed to modify the existing KM and CINT functions to account for the ambient flow velocity. They are subsequently tested and compared by numerical simulations in various configurations, including a synthetic turbulent jet representative of the main features encountered in actual jet flows.

中文翻译：

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随机流中的相干干涉成像

摘要 本文关注成像方法的发展，以在声波穿过它们的不均匀运动介质中定位源或反射器。一个典型的例子是用于气动声学应用的湍流射流中宽带声源的定位。所提出的算法是基尔霍夫偏移 (KM) 和相干干涉测量 (CINT) 的扩展，迄今为止，这些算法已被考虑用于平滑和随机非均匀静止介质。它们是从关于静止环境流的声学扰动的线性化欧拉方程开始构建的。解决了由定点源在恒定速度的环境流中产生的声波传播的模型问题。基于此结果，建议使用成像函数来修改现有的 KM 和 CINT 函数以考虑环境流速。随后通过各种配置的数值模拟对它们进行测试和比较，包括代表实际射流中遇到的主要特征的合成湍流射流。