Abstract:Aims. This paper aims to look at the propagation of synthetic photospheric oscillations from a point source into a two-dimensional non-magnetic solar atmosphere. It takes a particular interest in the leakage of 5-min global oscillations into the atmosphere, and aims to complement efforts on the driving of chromospheric dynamics (e.g. spicules and waves) by 5-min oscillations. Methods. A model solar atmosphere is constructed based on realistic temperature and gravitational stratification. The response of this a… Show more
“…The coincidence of the observed periods of coronal and photospheric oscillations logically leads to the idea that the photospheric oscillations leak into the corona along inclined magnetic fields (De Pontieu et al 2005;Erdélyi et al 2007;Fedun et al 2009). However, Murawski and Zaqarashvili (2010) and Zaqarashvili et al (2011) suggested that the observed periodicity in the solar corona is caused by quasi-periodic rebound shocks, originating from nonlinear wakes in the stratified atmosphere.…”
Aims. We consider magnetoacoustic oscillations in a gravitationally stratified solar corona, that are triggered by an initial pulse in the vertical component of velocity launched from various altitudes of the solar atmosphere. Methods. We numerically solve two-dimensional magnetohydrodynamic equations for an ideal plasma to determine the spatial and temporal signatures of excited oscillations. Results. Our numerical results reveal that few-min oscillations are effectively excited by the initial velocity pulses and that their waveperiods depend on the vertical location and amplitude of the pulse. Conclusions. The building block of this scenario consists of a one-dimensional rebound shock model.
“…The coincidence of the observed periods of coronal and photospheric oscillations logically leads to the idea that the photospheric oscillations leak into the corona along inclined magnetic fields (De Pontieu et al 2005;Erdélyi et al 2007;Fedun et al 2009). However, Murawski and Zaqarashvili (2010) and Zaqarashvili et al (2011) suggested that the observed periodicity in the solar corona is caused by quasi-periodic rebound shocks, originating from nonlinear wakes in the stratified atmosphere.…”
Aims. We consider magnetoacoustic oscillations in a gravitationally stratified solar corona, that are triggered by an initial pulse in the vertical component of velocity launched from various altitudes of the solar atmosphere. Methods. We numerically solve two-dimensional magnetohydrodynamic equations for an ideal plasma to determine the spatial and temporal signatures of excited oscillations. Results. Our numerical results reveal that few-min oscillations are effectively excited by the initial velocity pulses and that their waveperiods depend on the vertical location and amplitude of the pulse. Conclusions. The building block of this scenario consists of a one-dimensional rebound shock model.
“…We also want to point out that this model omits important physics, e.g. density stratification (Osterbrock 1961;Rosenthal et al 2002;Erdélyi et al 2007), but the idea is to use a very simple model to illustrate the possibility of photospheric seismology.…”
Aims. We present a mathematical framework for the seismology of photospheric flux tubes using a uniform straight cylinder as a flux-tube model. In contrast to the earlier model of Fujimura & Tsuneta (2009, ApJ, 702, 1443, we also include a non-zero gas pressure; we do not use the thin tube approximation and we use an underdense region inside the flux tube. Methods. We used the linearised ideal magnetohydrodynamic equations to describe different wave modes in the photosphere. Using the wave mode polarisations we then obtained phase relations which represent different observables. Those phase relations were used to calculate phase differences and amplitude ratios. Finally we inverted these amplitude ratios to obtain plasma parameters which are not directly observable. Results. The mathematical framework results in phase differences that can be conveniently compared with observational data to distinguish between different wave modes. Once the wave mode has been identified, the inverted amplitude ratios can be used to either analytically or numerically estimate the magnitude of plasma parameters which are not directly observable, such as the vertical wavenumber. Artificial observations of different wave modes have shown that the framework mostly succeeds in identifying the correct wave mode and in reproducing the correct plasma parameters using the inverted amplitude ratios.
“…We showed that the field-free cavity regions under the magnetic canopy can trap high-frequency acoustic oscillations, leading to the observed increased high-frequency power in the photosphere, while the lower-frequency oscillations are channeled upwards in the form of magneto-acoustic waves (Erdélyi et al 2007;Srivastava et al 2008). However, those calculations have been performed without taking the gravitational stratification into account, which is important at the photospheric level.…”
Aims. The main goal here is to study the dynamics of the gravitationally stratified, field-free cavities in the solar atmosphere, located under small-scale, cylindrical magnetic canopies, in response to explosive events in the lower-lying regions (due to granulation, smallscale magnetic reconnection, etc.). Methods. We derive the two-dimensional Klein-Gordon equation for isothermal density perturbations in cylindrical coordinates. The equation is first solved by a standard normal mode analysis to obtain the free oscillation spectrum of the cavity. Then, the equation is solved in the case of impulsive forcing associated to a pressure pulse specified in the lower lying regions. Results. The normal mode analysis shows that the entire cylindrical cavity of granular dimensions tends to oscillate with frequencies of 5-8 mHz and also with the atmospheric cut-off frequency. Furthermore, the passage of a pressure pulse, excited in the convection zone, sets up a wake in the cavity oscillating with the same cut-off frequency. The wake oscillations can resonate with the free oscillation modes, which leads to an enhanced observed oscillation power. Conclusions. The resonant oscillations of these cavities explain the observed power halos near magnetic network cores and active regions.
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