Effects in the Solar p-Mode Power Spectrum from Scattering on a Turbulent Background Flow with Stochastic Wave Sources

Astronomy and Astrophysics – Astronomy

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Sun: Helioseismology, Sun: Interior, Sun: Oscillations, Waves

Scientific paper

This work demonstrates how the scattered wave field, in combination with stochastic wave sources, influences the p-mode power spectrum. I adopt a turbulent zone with random fluctuations in sound speed and velocity (characterized by the respective correlation functions). I present a general formalism (for plane-parallel conditions) to calculate the expectation value of the p-mode power spectrum. The power due to the direct field from the sources dominates, and depends only on the source correlation function. Smaller, but significant, ``corrections'' are due to scattered wave field components. These corrections depend in general on the correlation functions of the turbulent fluctuations in the medium. I adopt a simple waveguide for the purpose of clear demonstration, and show that the corrections generate three important effects: (1) the line profiles are shifted along the wavenumber (frequency) axis, with varying effects depending on which ``turbulent'' physical quantity we consider; (2) the shapes and widths of the line profiles are altered; and (3) the ``troughs'' between the line profiles are to some extent filled in, contributing to the ``solar background power.'' It is demonstrated that turbulent boundary zones can generate important contributions to the power spectrum.

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