L. Teriaca, IMPRS Seminar, Lindau 08/12/04 Spectroscopy of the solar Transition Region and Corona L....

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L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Spectroscopy of the solar Transition Region and Corona

L. Teriaca

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

The Solar Corona

Composite photo of the August 11, 1999 total eclipse.Lake Hazar, Turkey.

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

The Solar Corona

Raw spectra obtainedon 19 June 1936 duringa total eclipse observedfrom the former SovietUnion.

Te=1 – 2 MK

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

The Solar Chromosphere

Photo of the August 11, 1999 total eclipse.Kastamonu, Turkey.

Te=104 K

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

The Solar Transition Region

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Radiant power density

Optically thin plasma

Phc

N Aji j ji

ji

-1 -3 -1erg s cm ÅSpectral radiantpower density:

Phc

N Aji j ji- -

ji

erg s cm1 3Radiant power density:

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Radiant power density

Phc N

N

N

N

N

N

N

NN Aji

j

ion

ion

el

e lji

- - ji H

H

ee erg s cm1 3

N

Nj

j

ion

is th e frac tio n o f io n s in th e u p p e r lev e l . Strong fun ction of eN

N

Nion

el

is th e re la tiv e ab u n d an ce o f th e io n ic sp ec ie . eStrong fun ction of T

N

Nel

H

is th e e lem en t ab u n d an ce w ith resp ec t to h y d ro g en .

N

NH

e

is th e h y d ro g en to e lec tro n s n u m b er d en sity ra tio . 0 .8 5

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Radiant power density

ji

ji

ion

j

ionji

-P

N

hc N

NA

ji

erg s 1

Normalised radiant power density

G T N AN

N

N

N

N

N

Nel ji

ji ion

el

e l -e e

e H

H

e

erg s cm, ,

1 3

Contribution function

P G T N A Nji e l ji

- - e e e erg s cm, , 2 1 3

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Line radiance

L G T N A N hji e l jih

- - 1

42 1 2

e e e-1d erg s cm sr, ,

DEM T Nh

T- e

-1d

dcm K2 5

L G T N A DEM T Tji e l jih

- - 1

41 2

e e-1d erg s cm sr, ,

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Differential emission measure

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Atomic processes

Characteristic times for the relevant atomic processesin the Transition region as calculated for the C IV lineat 154.8 nm (Te=105 K, Ne=1010 cm−3).

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Thermal equilibrium

Ne (cm−3)

Te (K)5×108 1010

105

τee= 10−3

τpp= 0.04

τei= 0.8

τee= 5×10−5

τpp= 2×10−3

τei= 0.04

106

τee= 0.03

τpp= 1.3

τei= 26

τee= 0.02

τpp= 0.7

τei= 1.3

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Ionization (Nion/Nel)

q collisional ionizationαr radiative recombinationαd dielectronic recombination

io n iza tio n eq u ilib riu m z

dN

dt0

N N elz

z

Z

0

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Ionisation (Nion/Nel)

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Excitation (Nj/Nion)

sta tis tica l eq u ilib riu m dN

dti 0

N Nii

ion

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Collisional rate coefficients C v f v v vij ij

v

d cm s3 -1

0

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Excitation (Nj/Nion)

A llo w ed tran sitio n : ee

N

NN

Nconst

j

ion

ij

In te rsy stem tran sitio n : o n ly if «

w h en »

e e

e

N

NN N C A

N

Nconst N C A

j

ionij ji

j

ionij ji

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Excitation (Nj/Nion)

CHIANTI atomic database: http:wwwsolar.nrl.navy.mil/chianti.html

ji

j

ionji

N

NA

h c

ji

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Abundance (Nel/NH)

AN

Nele l lo gH

1 2

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Two – level atom

u

g

Ng=Nion

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Formation temperature

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

T = 0.7×104 K

T = 1.8×105 K

T = 2.5×105 K

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

T = 2.5×105 K

T = 1.8×105 K

T = 1.0×106 K

T = 1.4×106 K

T ≈ 104 K

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Emission Measure

L G T N hji jih

- - 1

42 1 2

e e-1d erg s cm sr

L

G TN hji

ji

h

- -

e

e-1d erg s cm sr

42 1 2

G TT

G T h

ji

jih

T T

-e

e d

erg s cm1

1 0 1 00 1 5 0 1 5

1 3

m ax. .m ax m ax

E M d cmc e N hh

-2 5

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Electron density

E M d cmc e N hh

-2 5

NL

G T fhe2 4 1

R e

1

2

f N

Density sensitive line radiance ratio

→ f=10−2 – 10−5

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Coronaldensities

Banerjee, Teriaca, Doyle, Wilhelm, 1998, A&A 339, 208

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Electron temperatures

If we consider an isothermal plasma, the ratio of two allowedtransitions from adjacent ionization stages reduces to the ratioof their contribution functions.

If we consider two allowed transitions from the ground state ofthe same ion:

E E kTgk g i » e

sensitive to the temperature if:

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Line profile

N A T C O L L T h N th

T h N A T C O L L

In the solar corona:

Assuming that the ions follow a Maxwellian distribution:

T hT h T h

1 0

2

2ex p

T h

0 0

1 22

cv

c

kT

m ion

where:

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Line profile

As an example, for N V 123.8 nm, (Te=1.8×105 K),

T h-1 Å k m s 0 0 6 1 1 4 9. .

O b s-1 Å k m s 0 1 4 3 8 3 4 8. . .

However, we observe:

S u ne

0 2

1 2

0

1 22 2

c

kT

m c

kT

mion

eff

ion

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Non–thermal velocity

Teriaca, Banerjee, Doyle, 1999, A&A, 349, 636

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Doppler shift

Teriaca, Banerjee, Doyle, 1999, A&A, 349, 636

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Chromospheric evaporation in flaresL. Teriaca et al.

Large upflows inCDS Fe XIX lineat the footpointsof the flaring loopsystem during theimpulsive phase.

Red contours indicate Hα downflows of ≈10 km s−1

One hour later the flaring loops start to appear in theTRACE 17.1 nm band andare fully visible around16:20 UT.

RHESSI data, starting at14:50 UT, shows nonthermal emission stillpresent at the right footpoint

L. Teriaca, IMPRS Seminar, Lindau 08/12/04

Supersonic flows in a Quiet Sun loopL. Teriaca et al. 2004, A&A 427, 1065

a) O VI SUMER raster of a smallQS area. Black contours showmagnetic flux of −10, −25, −40 G.Black + indicate the locations ofstrong non–Gaussian line profiles.The dashed red line indicates theprojection on the plane of the skyof a semicircular loop with adiameter of 13". The black dotsshow the position of the observedloop.b, d) Profiles on the legs of theloop with the results of a 3component Gaussian fitting.c) Profile at loop top. Thedotted line shows the averageQS profile times 4.9.Observed speeds are consistentwith the LOS component of asupersonic siphon–like flow of≈130 km s−1 along the loop.