influence of emic waves on radiation belt dynamics t. kersten, r. b. horne, n. p. meredith, s. a....

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Influence of EMIC Waves on Radiation Belt Dynamics T. Kersten, R. B. Horne, N. P. Meredith, S. A. Glauert ESWW11 Liège, 17-21/11/2014 British Antarctic Survey, UK

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Influence of EMIC Waves on Radiation Belt Dynamics

T. Kersten, R. B. Horne, N. P. Meredith, S. A. Glauert

ESWW11Liège, 17-21/11/2014

British Antarctic Survey, UK

Van Allen Radiation Belts

• Inner belt: stable

• Outer belt: highly variable

• Main cause for variability: Plasma waves

• Risk for spacecraftSource: NASA

Types of Plasma Waves

• Chorus waves: – Major cause of acceleration and loss

Chorus

Sun

Magnetopause

Plasmaspause

Types of Plasma Waves

• Chorus waves: – Major cause of acceleration and loss

• Magnetosonic waves: – May be an important acceleration

mechanism

Chorus

Sun

Magnetosonicwaves

Magnetopause

Plasmaspause

Types of Plasma Waves

• Chorus waves: – Major cause of acceleration and loss

• Magnetosonic waves: – May be an important acceleration

mechanism

• Plasmaspheric hiss: – Major loss process

Chorus

Sun

Magnetosonicwaves

Plasmaspherichiss

Magnetopause

Plasmaspause

Types of Plasma Waves

• Chorus waves: – Major cause of acceleration and loss

• Magnetosonic waves: – May be an important acceleration

mechanism

• Plasmaspheric hiss: – Major loss process

• ElectroMagnetic Ion Cyclotron (EMIC) waves:– H+: fcHe < f < fcH

– He+: fcO < f < fcHe

Chorus

EMIC waves

Sun

Magnetosonicwaves

Plasmaspherichiss

Magnetopause

Plasmaspause

Types of Plasma Waves

• Chorus waves: – Major cause of acceleration and loss

• Magnetosonic waves: – May be an important acceleration

mechanism

• Plasmaspheric hiss: – Major loss process

• ElectroMagnetic Ion Cyclotron (EMIC) waves:– H+: fcHe < f < fcH

– He+: fcO < f < fcHe

– May be important loss process

Objective of Study: Quantify losses caused by EMIC waves

Chorus

EMIC waves

Sun

Magnetosonicwaves

Plasmaspherichiss

Magnetopause

Plasmaspause

• Fokker-Planck Equation

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

• Fokker-Planck Equation

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

Radial transport

• Fokker-Planck Equation

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

Radial transport Pitch angle diffusion

• Fokker-Planck Equation

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

Energy diffusionRadial transport Pitch angle diffusion

• Fokker-Planck Equation

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

Energy diffusion LossesRadial transport Pitch angle diffusion

• Fokker-Planck Equation

• Drift & bounce averaged diffusion coefficients DLL , Dαα , DEE

are activity, location and energy dependent

• Details in: Glauert et al. 2014

BAS Radiation Belt Model

),()(

)(

1)(

)(

12

2

E

f

E

fDEA

EEA

fDg

gL

f

L

D

LL

t

f

L

EE

ELJ

LL

Energy diffusion LossesRadial transport Pitch angle diffusion

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

– Peak of the Gaussian

fm

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

– Peak of the Gaussian– Width of the Gaussian

fm

df

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

– Peak of the Gaussian– Width of the Gaussian– Cut-off frequencies

fm

df

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

– Peak of the Gaussian– Width of the Gaussian– Cut-off frequencies

• Model for plasma density

fm

df

Calculating the Diffusion Coefficients

• Use the PADIE code (Glauert and Horne, 2005)

• Requires Gaussian distribution– Peak power: IW

– Peak of the Gaussian– Width of the Gaussian– Cut-off frequencies

• Model for plasma density

• Ion composition fm

df

CRRES EMIC Wave Database

• Contains: Peak frequency fm Spectral width df Peak intensity I0

• EMIC wave events binned by: L*, MLT, 5 magnetic activity levels

Average intensities – Helium band

Average intensities – Hydrogen band

Modelling the Radiation Belts

EMIC Diffusion RatesPi

tch

angl

e di

ffusi

on c

oeffi

cien

t (s

-1)

EMIC Diffusion Rates

1 MeV

Combined EMIC and Chorus Diffusion Rates

Electron flux: 100 day simulation – 90°90° flux (cm-2sr-1s-1keV-1) for 6MeV electrons

With EMIC

Without EMIC

Electron flux: 100 day simulation – 90°90° flux (cm-2sr-1s-1keV-1) for 6MeV electrons

With EMIC

Without EMIC

Electron flux: 100 day simulation – 45°45° flux (cm-2sr-1s-1keV-1) for 6MeV electrons

With EMIC

Without EMIC

Electron flux: 100 day simulation – 45°45° flux (cm-2sr-1s-1keV-1) for 6MeV electrons

With EMIC

Without EMIC

Pitch-angle distribution: 1 MeV

Pitch-angle distribution: 6 MeV

Pitch-angle distribution: 10 MeV

Conclusions

• EMIC waves lead to significant losses at pitch-angles < 60°

• EMIC waves are effective at scattering electrons for E > 2MeV

• There is no significant energy diffusion

• EMIC waves will result in a peaked particle distribution for 70° < α < 90°

• Therefore, we suggest: Looking for particle distributions peaked near 90° and E > 2MeV in Van Allen Probes data

Acknowledgements

• The research leading to these results has received funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreements number 262468 (SPACECAST) and number 284520 (MAARBLE), and is also supported in part by the UK Natural Environment Research Council

Wave parameters

Parameter Hydrogen band waves Helium band waves

fm/fcH 0.4 0.15

df/fcH 0.02 0.02

flc/fcH 0.36 0.11

fuc/fcH 0.44 0.19

Xm 0.0

ΔX tan 15°

Xcut 2 ΔX

Resonances -10 ≤ n ≤ 10

fpe/fce 10.0

Ion composition 94% H+ 5% He+ 1% O+