Observational study of chromospheric heating by acoustic waves
V. Abbasvand (1), M. Sobotka (1), M. \v{S}vanda (1, 2), P. Heinzel, (1), Marta Garc\'ia Rivas (1, 2), C. Denker (3), H. Balthasar (3), M., Verma (3), I. Kontogiannis (3), J. Koza (4), D. Korda (2), and C. Kuckein (3)

TL;DR
This study investigates how acoustic and magneto-acoustic waves contribute to heating the solar chromosphere by analyzing observations in specific spectral lines and comparing energy flux with radiative losses.
Contribution
It provides observational evidence that acoustic waves significantly heat the middle chromosphere, highlighting the importance of gas density in energy deposition.
Findings
Acoustic energy flux can fully balance radiative losses in the middle chromosphere.
In the upper chromosphere, acoustic flux is insufficient to offset radiative cooling.
Gas density at certain heights determines the effectiveness of acoustic heating.
Abstract
Aims. To investigate the role of acoustic and magneto-acoustic waves in heating the solar chromosphere, observations in strong chromospheric lines are analyzed by comparing the deposited acoustic-energy flux with the total integrated radiative losses. Methods. Quiet-Sun and weak-plage regions were observed in the Ca II 854.2 nm and H-alpha lines with the Fast Imaging Solar Spectrograph (FISS) at the 1.6-m Goode Solar Telescope (GST) on 2019 October 3 and in the H-alpha and H-beta lines with the echelle spectrograph attached to the Vacuum Tower Telescope (VTT) on 2018 December 11 and 2019 June 6. The deposited acoustic energy flux at frequencies up to 20 mHz was derived from Doppler velocities observed in line centers and wings. Radiative losses were computed by means of a set of scaled non-LTE 1D hydrostatic semi-empirical models obtained by fitting synthetic to observed line…
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