Kernels of acoustic imaging

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Acoustic Imaging, Local Helioseismology, Active Regions

Scientific paper

The vertical resolution is an important issue in acoustic imaging, which is determined by two factors. One is the wave property. Another is the non-locality property: the waves passing through the target point also pass through the regions other than the target point. The nonlocal effect exists even in the ray approximation. In this study, we assume the ray approximation and discuss only the nonlocal effect. The phase shift measured in acoustic imaging can be expressed as an integral of the product of the source, wave-speed perturbation, and a kernel. We discuss how to compute the kernels associated with different acoustic lenses, which are characterized by the frequency, range of mode degree, and focal depth, based on a standard solar model. With the kernels of acoustic lenses, we compute the distribution of phase shifts with given source distributions to study the spatial resolution of different acoustic lenses. We study point sources and cylindrical sources. We also model an emerging flux region by placing a cylindrical source in the solar interior.

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