1982
DOI: 10.1007/bf00146970
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Umbral oscillations in a detailed model umbra

Abstract: Our theory ofumbral oscillations as resonant modes of magneto-atmospheric waves (Scheuer and Thomas, 1981) is extended and confirmed by calculating the resonant modes in a much more detailed model of the umbral atmosphere. The depths of forcing required to produce observed oscillation periods (roughly 140 to 185 s) are in good agreement with the depths ofoverstable convection found in other studies (Moore, 1973;Mullan and Yun, 1973).

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Cited by 49 publications
(19 citation statements)
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“…It could well be that umbral flashes are phenomena originating in small structures in the photospheric or the subchromospheric level and then channeled upwards through a narrow path by the magnetic field hence preserving their original localized nature. It has been suggested that umbral flashes are the result of non-linear shock waves propagating upwards (López Ariste et al 2001;Furusawa & Sakai 2000) or that their driving force is trapped magnetoacoustic waves in the photosphere (Thomas & Scheuer 1982) or in the chromosphere itself (Zhugzhda et al 1985). A physical explanation is however beyond the scope of this paper, since a more detailed analysis of the relationship between umbral flashes and the magnetic field vector should be first performed.…”
Section: Discussionmentioning
confidence: 97%
“…It could well be that umbral flashes are phenomena originating in small structures in the photospheric or the subchromospheric level and then channeled upwards through a narrow path by the magnetic field hence preserving their original localized nature. It has been suggested that umbral flashes are the result of non-linear shock waves propagating upwards (López Ariste et al 2001;Furusawa & Sakai 2000) or that their driving force is trapped magnetoacoustic waves in the photosphere (Thomas & Scheuer 1982) or in the chromosphere itself (Zhugzhda et al 1985). A physical explanation is however beyond the scope of this paper, since a more detailed analysis of the relationship between umbral flashes and the magnetic field vector should be first performed.…”
Section: Discussionmentioning
confidence: 97%
“…According to Zhugzhda and Dzhalilov (1982); Zhugzhda (1984), the fast-mode resonance is essential in producing waves in the 5-min band. Conversely, Thomas and Scheuer (1982); Scheuer and Thomas (1981) calculated numerically the fast-wave resonance, under the assumption that the reflection at the lower boundary is again due to acoustic speed gradients, and the reflection of the upper boundary is due to Alfvén speed gradients, and concluded that this resonance produces a lowest mode with a period of 153 s, i.e., in the 3-min band.…”
Section: Resonance Cavity Model For Chromospheric Wavesmentioning
confidence: 99%
“…This has led to the suggestion that they might be resonant modes of sunspots, with a cavity that might be located either in the sunspot umbra at subphotospheric layers (Scheuer and Thomas, 1981;Thomas and Scheuer, 1982; or at chromospheric layers (von Uexküll et al, 1983;Lites and Thomas, 1985;Gurman, 1987). An interesting relation between the power in a sunspot umbra in the bands of five and three minutes was obtained by Schröter and Soltau (1976), who found that the amplitude of the velocity oscillations in the two bands was anticorrelated, i.e, when one increased the other decreased.…”
Section: Introductionmentioning
confidence: 99%
“…Provided the remaining fast and slow h D n/2, MA waves remain coupled and yield a fourth-order system of ODEs. The lower degree of this system of ODEs makes the ensuing analysis more tractable and easier to interpret (e.g., Ferraro & Plumpton 1958 ;Weymann & Howard 1958 ;Zhugzhda & Dzhalilov 1982 ;Zhugzhda & Dzhalilov 1984b ;Leroy & Schwartz 1982 ;Thomas & Scheuer 1982 ;Schwartz & Bel 1984 ;Zhukov 1985 ;Kamp 1989 ;Campos & Saldanha 1991 ;Hasan & Christensen-Dalsgaard 1992 ;Banerjee, Hasan, & Christensen-Dalsgaard 1995 ;Bogdan & Cally 1997 ;Cally 2001).…”
Section: Uniformly Magnetized Atmospherementioning
confidence: 99%