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University of Sheffield
Solar Physics & upper-Atmosphere Research Group
Linear and non-linear Linear and non-linear waves and oscillations waves and oscillations
L1: Examples for wavesL1: Examples for wavesRobert von Fáy-Siebenbürgen
[email protected] , Department of Applied Mathematics,
The University of Sheffield (UK)
http://www.shef.ac.uk/~robertus
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Water wavesWater waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Water wavesWater waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Longitudinal wavesLongitudinal waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Transverse wavesTransverse waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Shock wavesShock waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Sonic boomSonic boom
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
The dynamic SunThe dynamic Sun
Movie: SOHO/EIT (ESA/NASA)
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Helioseismology
¤ more than 100,000 pulsation modes
¤ single mode
¤ three modes
¤ many modes
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
¤ n=14 (radial nodes)
¤ m=16 (poloidal nodes)
¤ l=20 (spherical harmonic degree)
¤ The frequency of this mode determined from the MDI data is 2935.88 0.2 µHz.
Helioseismology
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Helioseismology
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Photosphere: sunspots
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Running penumbral wavesRunning penumbral waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Solar storms: Sun quakesSolar storms: Sun quakes•
Sola
r qu
akes
: hig
h en
ergy
el
ectr
ons
slam
the
sola
r su
rfac
e
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
• So
lar
quak
es: h
igh
ener
gy
elec
tron
s sl
am th
e so
lar
surf
ace
Solar storms: Sun quakesSolar storms: Sun quakes
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Chromospheric spicules
spicules
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Solar spicules (tornadoes)Solar spicules (tornadoes)
(BBSO)
Earth
Earth Pet
er &
von
der
Lüh
e (
199
9)
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Solar spicules (tornadoes)Solar spicules (tornadoes)
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Moreton wavesMoreton waves
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Coronal loopsCoronal loops
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Coronal loops by TRACECoronal loops by TRACE
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
SOHO/TRACE examples
Solar atmospheric oscillationsSolar atmospheric oscillations
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
• TRACE: Loop oscillation excited by M4.6 flare (14 July 1998)
Movie in TRACE 171 A
Solar atmospheric oscillationsSolar atmospheric oscillations
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Surfing magnetic loopsSurfing magnetic loops
• Difference image in brightness out from the loop base
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
Space WeatherSpace Weather
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KUL University of Sheffield
Solar Physics & upper-Atmosphere Research Group
http://www.shef.ac.uk/~robertus
The end