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Studies of granular velocities

II: Statistical analysis of two high-resolution spectrograms

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Abstract

Continuum brightness and Doppler velocity fluctuations in the lines λ 6301.5 and λ 6302.5 Å of Fei, measured in two selected spectrograms, are analysed by standard statistical (power- and coherence spectrum) methods. It is shown qualitatively that the oscillatory component of the velocity fluctuations (at spatial wavelengths > 4″) decreases, while the supposedly ‘granular’ component (at spatial wavelengths < 4″) as well as the coherence between brightness and velocity fluctuations increases with optical depth.

The spatial resolution of the spectrograms is estimated by comparing the observed power spectrum of brightness fluctuations with spectra found in the literature, assuming the combined instrumental and seeing spread function to be Gaussian. The resolution thus determined is σ = 1″.24 ± 0″.07. If the measured values are corrected accordingly, we obtain a true brightness rms of 10 to 14%, depending upon the shape of the power spectrum chosen for comparison, and a velocity rms at continuum optical depth of 1.3 km/sec. It is shown, however, that using the same correction function for the velocity power spectrum as for the brightness possibly gives rise to misestimating the velocity rms.

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Mitteilungen aus dem Fraunhofer Institut Nr. 100.

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Mehltretter, J.P. Studies of granular velocities. Sol Phys 16, 253–271 (1971). https://doi.org/10.1007/BF00162468

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  • DOI: https://doi.org/10.1007/BF00162468

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