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Data · dataset · 2026

A unified sensitivity kernel for coherent wave tomography in radar, seismic, ultrasound, and optical imaging

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Imaging an inhomogeneous medium with waves rests on the sensitivity of a boundary measurement to a change inside.

Description

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.

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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.

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Geothermics and radiometrics 76% · Imaging 75%
Provenance · 1 source records, 9 field assertions
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