The inversion problem in acoustic imaging

Statistics – Computation

Scientific paper

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Sun: Oscillations, Sun: Magnetic Fields, Sunspots

Scientific paper

The three-dimensional phase-shift distribution of an active region below the solar surface can be constructed with the technique of acoustic imaging. The interpretation of the measured phase-shift distribution suffers from the unknown spatial resolution of the acoustic lenses. Our recent studies show that in the ray approximation, the phase shift measured in acoustic imaging can be expressed as an integral of the product of the wave-speed perturbation and a kernel. Forward computations show that the vertical resolution of phase-shift images is rather poor even in the ray approximation. We discuss how to invert the measured phase shifts to estimate the wave-speed perturbation. We use a regularized least-square inversion method. The method is tested with model sources. The estimated source is close to the model source in large scale, though the noise, which increase with depth, is rather large in small scale.

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