雷达、地震、超声和光学成像中相干波层析成像的统一灵敏度核
A unified sensitivity kernel for coherent wave tomography in radar, seismic, ultrasound, and optical imaging
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中文总结 AI 辅助
本文提出雷达、地震、超声和光学成像中相干波层析成像的统一灵敏度核框架,揭示其由两类求积分量构成,并引入宽带在壳压缩以缓解波场存储带来的计算极限。
中文摘要 AI 辅助
利用波对非均匀介质成像依赖于边界测量对内部变化的灵敏度。雷达、地震学、医学超声和漫射光学将这种灵敏度表示为特定区域形式的核。这里我们表明,所有这些核都由两类构建而成。这两类源于底层波动方程的复材料参数,其实部决定波速,虚部决定损耗。每个核都是前向场和伴随场的乘积,而真实测量保留该乘积的一个求积分量。这些求积分量即为这两类,弹道输运和扩散输运中的所有核都是它们的组合。我们将这些区域置于一个散射强度和输运深度的图表上,揭示了由波场存储设定的共享计算极限,并提出一种宽带在壳压缩方法,可放宽该极限。
英文摘要
Imaging an inhomogeneous medium with waves rests on the sensitivity of a boundary measurement to a change inside. Radar, seismology, medical ultrasound, and diffuse optics cast this sensitivity as a kernel of area-specific form. Here we show that all of them are built from two classes. The classes stem from the complex material parameter of the underlying wave equation, its real part determining the wave speed and its imaginary part the loss. Every kernel is the product of a forward and an adjoint field, and a real measurement retains one quadrature of that product. These quadratures are the two classes, and all kernels in ballistic and diffusive transport are combinations of them. We place the areas on one diagram of scattering strength and transport depth, exposing a shared computational limit set by wavefield storage, and propose a broadband on-shell compression that can relax that limit.
发表机构
- Missouri University of Science and Technology(密苏里科技大学)
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