The Linearized Forward Problem for Time-Distance Helioseismology

Computer Science – Sound

Scientific paper

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7522 Helioseismology

Scientific paper

The forward problem of time-distance helioseismology is to compute travel-time perturbations which result from perturbations to a solar model. We present a physically motivated general framework for calculations of the sensitivity of travel-times to small local perturbations. The first Born approximation is used to model scattering from local inhomogeneities. We take account of wave excitation by distributed random sources. Travel-time sensitivity kernels depend explicitly on the details of the measurement procedure. The method is illustrated on an example. We consider the propagation of acoustic waves in an infinite homogeneous medium. Waves are excited by random pressure sources distributed on a thin horizontal sheet. We obtain 3D travel-time sensitivity kernels for local perturbations in sound-speed, damping rate and source strength.

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