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

Robertus@sheffield.ac.ukSPARG, Department of Applied Mathematics,

The University of Sheffield (UK)

http://www.shef.ac.uk/~robertus

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Water wavesWater waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Water wavesWater waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Longitudinal wavesLongitudinal waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Transverse wavesTransverse waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Shock wavesShock waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Sonic boomSonic boom

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)

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

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

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Helioseismology

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Photosphere: sunspots

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

       

Running penumbral wavesRunning penumbral waves

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

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

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Chromospheric spicules

spicules

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)

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Solar spicules (tornadoes)Solar spicules (tornadoes)

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

       

Moreton wavesMoreton waves

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Coronal loopsCoronal loops

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Coronal loops by TRACECoronal loops by TRACE

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

SOHO/TRACE examples

Solar atmospheric oscillationsSolar atmospheric oscillations

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

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

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

Space WeatherSpace Weather

KUL University of Sheffield

Solar Physics & upper-Atmosphere Research Group

http://www.shef.ac.uk/~robertus

The end