2002
DOI: 10.1051/0004-6361:20020279
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Oscillations on the Sun in regions with a vertical magnetic field

Abstract: Abstract.We have calculated the spectrum of eigenmodes of umbral oscillations. The eigenmodes of oscillations with periods from several tens of minutes (g-modes) to several tens of seconds (p-modes) have been found. It is shown that the 3-min umbral oscillations are p-modes modified by the magnetic field.

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Cited by 13 publications
(15 citation statements)
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“…O'Shea et al interpreted their observations in terms of slow magneto-acoustic waves propagating upwards (as confirmed from their time delays) along magnetic field lines. In a recent theoretical paper, Zhukov (2002) calculated the spectrum of eigenmodes of umbral oscillations. It was shown that the 3 min umbral oscillations are the p-modes modified by the magnetic field.…”
Section: Discussionmentioning
confidence: 99%
“…O'Shea et al interpreted their observations in terms of slow magneto-acoustic waves propagating upwards (as confirmed from their time delays) along magnetic field lines. In a recent theoretical paper, Zhukov (2002) calculated the spectrum of eigenmodes of umbral oscillations. It was shown that the 3 min umbral oscillations are the p-modes modified by the magnetic field.…”
Section: Discussionmentioning
confidence: 99%
“…Carlsson & Stein (1992) examined the generation of Ca K2V bright points by upwards propagating acoustic shocks in the solar chromosphere, demonstrating that a sinusoidal 180 s period driver was able to produce observed results well. Recent observational work by Marsh & Walsh (2006) has provided evidence of the propagation of oscillatory signals from the transition region into the solar corona in the 3-min period band, and it has been suggested in the past that 3-min oscillations observed in the transition region are connected to the 5-min global p-modes (Bogdan 2000;Zhukov 2002). Leibacher et al (1982) suggest that the observed chromospheric modes are the result of a chromospheric cavity, while Fleck & Schmitz (1991) contend that a cavity is unnecessary to explain the chromospheric oscillations, and that the correct explanation is the resonant excitation of the cut-off frequency at the temperature minimum.…”
Section: Introductionmentioning
confidence: 99%
“…As was shown by Zhukov (2002), in sufficiently deep layers (at z → −∞), the system (1) and (2) is divided into two independent subsystems. One of them has the following solutions…”
Section: Initial Conditions In Deep Layers Of a Sunspot Umbramentioning
confidence: 83%
“…Additional difficulties were due to the fact that until now asymptotic solutions of the system of MHD equations have been obtained only for isothermal (Hasan & Christensen-Dalsgaard 1992) and polytropic (with polytropic index µ = 3/2, see Cally & Bogdan 1993;Bogdan & Cally 1997) atmospheres. It was only recently that the asymptotic solutions were found for the atmosphere, in which the Alfvén speed in sufficiently deep layers is considerably smaller than the sound speed (Zhukov 2002). This makes it possible to calculate the spectrum of umbral oscillations for a sufficiently realistic model of the umbra.…”
Section: Introductionmentioning
confidence: 99%
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