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      Analytical description of nonlinear acoustic waves in the solar chromosphere

      Litvinenko, Yuri E.; Chae, Jongchul
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      DOI
       10.1051/0004-6361/201629568
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      Litvinenko, Y. E., & Chae, J. (2017). Analytical description of nonlinear acoustic waves in the solar chromosphere. Astronomy and Astrophysics, 599. https://doi.org/10.1051/0004-6361/201629568
      Permanent Research Commons link: https://hdl.handle.net/10289/11064
      Abstract
      Vertical propagation of acoustic waves of finite amplitude in an isothermal, gravitationally stratified atmosphere is considered. Methods. Methods of nonlinear acoustics are used to derive a dispersive solution, which is valid in a long-wavelength limit, and a non-dispersive solution, which is valid in a short-wavelength limit. The influence of the gravitational field on wave-front breaking and shock formation is described. The generation of a second harmonic at twice the driving wave frequency, previously detected in numerical simulations, is demonstrated analytically. Results. Application of the results to three-minute chromospheric oscillations, driven by velocity perturbations at the base of the solar atmosphere, is discussed. Numerical estimates suggest that the second harmonic signal should be detectable in an upper chromosphere by an instrument such as the Fast Imaging Solar Spectrograph installed at the 1.6-m New Solar Telescope of the Big Bear Observatory.
      Date
      2017
      Type
      Journal Article
      Rights
      This article has been published in the Astronomy and Astrophysics. © 2017 ESO.
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      • Computing and Mathematical Sciences Papers [1455]
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