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On estimation of the i l hi k i l optical thickness in solar i prominences

On estimation of the i l hi k i l optical thickness in solar i prominences

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<strong>On</strong> <strong>estimation</strong> <strong>of</strong> <strong>the</strong><br />

<strong>optical</strong> t<strong>hi</strong>ckness <strong>in</strong> <strong>solar</strong><br />

prom<strong>in</strong>ences<br />

Ivan Milić 1 , Sanda Dejanić 1 and Pavel Kotrč 2<br />

1<br />

Faculty <strong>of</strong> Ma<strong>the</strong>mat<strong>hi</strong>cs, Belgrade, Serbia<br />

2<br />

Astronomical Institute v.v.i. Academy <strong>of</strong> Sciences,<br />

<strong>On</strong>drejov, Czech Republic


Introduction<br />

• Correlation between <strong>the</strong> opacity <strong>of</strong> a prom<strong>in</strong>ence<br />

and dits absorption <strong>in</strong> UV<br />

• Fast and reliable method to estimate <strong>the</strong> opacity <strong>of</strong><br />

prom<strong>in</strong>ences was needed<br />

• Method should deal with non-calibrated images


Method<br />

• Pr<strong>of</strong>ile <strong>of</strong> Hα emission l<strong>in</strong>e <strong>of</strong> a prom<strong>in</strong>ence, with<br />

some approximations i can be represented with<br />

function:<br />

I S e<br />

=<br />

λ<br />

2<br />

( λλ − max2<br />

)<br />

−<br />

2<br />

τ e<br />

∆λ<br />

(1 −<br />

d<br />

0 ⋅<br />

)


Method<br />

• Aim was to fit <strong>the</strong> observed pr<strong>of</strong>ile with t<strong>hi</strong>s<br />

function<br />

• Problem: Source function and <strong>optical</strong> t<strong>hi</strong>ckness are<br />

not <strong>in</strong>dependent<br />

• Solution: Use follow<strong>in</strong>g iterative method


Method<br />

• Assume some start<strong>in</strong>g <strong>optical</strong> t<strong>hi</strong>ckness<br />

• Calculate l S from <strong>the</strong> maximum <strong>of</strong> observed pr<strong>of</strong>ile<br />

• Among certa<strong>in</strong> number <strong>of</strong> values for τ, f<strong>in</strong>d one<br />

w<strong>hi</strong>ch fits best to our observed pr<strong>of</strong>ile<br />

• Make that value <strong>of</strong> τ new value <strong>of</strong> <strong>optical</strong><br />

t<strong>hi</strong>ckness<br />

• Repeat process until convergence


Results<br />

• 52 processed prom<strong>in</strong>ences, 188 l<strong>in</strong>e pr<strong>of</strong>iles<br />

• Optical t<strong>hi</strong>ckness goes between 0,97 and 1,57<br />

In one prom<strong>in</strong>ence <strong>optical</strong> t<strong>hi</strong>ckness measured <strong>in</strong><br />

• In one prom<strong>in</strong>ence, <strong>optical</strong> t<strong>hi</strong>ckness measured <strong>in</strong><br />

different spots rarely varies more <strong>the</strong>n 0,3.


Po<strong>in</strong>t<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

No.<br />

τ 0<br />

1,27<br />

134 1,34<br />

124 1,24<br />

1,20<br />

133 1,33<br />

137 1,37<br />

123 1,23<br />

1,27


Conclusions and discussion


Thank you all ! ! !

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