Some comments on the photographic subtraction method of determining chromospheric velocities |
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Authors: | R J Bray |
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Institution: | (1) CSIRO Division of Physics, National Standards Laboratory, 2008 Sydney, Australia |
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Abstract: | The photographic subtraction formula expressing the Doppler signal in terms of line-of-sight velocity is rederived and the conditions governing its validity are carefully stated. By appealing to the observed profiles of individual bright and dark mottles it is shown that, in the case of H observations of the quiet chromosphere, two essential conditions are violated.An analysis based on Beckers' (1964) theoretical mottle profiles shows that, assuming the correctness of his model, the photographic subtraction method correctly maps regions of zero velocity and, provided the original photographs are taken sufficiently far from the centre of H , gives the correct signs of any line-of-sight velocities present. However, at H ± 0.25 Å the method gives inconsistent signs. Moreover, at all wavelengths in the line the magnitude of the Doppler signal depends not only on velocity but also on the source function S, optical thickness t
0, and line broadening parameter ![Delta](/content/x7756308k6520634/xxlarge916.gif) 0. Accordingly, there is no one-to-one correspondence between velocity and the Doppler signal since S, in particular, shows considerable variation from place to place over the quiet chromosphere.An alternative procedure which obviates these difficulties is suggested. It is also based on Beckers' model and yields a calibrated measure of the velocity in terms of ![Delta](/content/x7756308k6520634/xxlarge916.gif) 0 (assumed constant) which is independent of spatial variations in S and t
0. |
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