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Calculation of Extinction from Optical Colors

In theory, the application of a reddening correction should be straightforward. For example, one method is to derive the spectral energy distribution (SED) for a target star and compare it to the SED of a dereddened standard star. One can multiply the standard SED by various extinction coefficients (A), so the residual of the target with respect to standard is minimized. However, since I only have five filter bands to work with and the U band data are very noisy, I lack sufficient leverage to use this method. Nonetheless, B through I data can still be useful. Temperature can be determine via the B-V color (Gilliland 1985):

Likewise, the R-I color can be converted to temperature (Laird 1985):

Here is defined in the usual way (). The relations are both valid for dwarfs between 4000K and 7000K. PMS stars are sub giants, a luminosity class which is not well understood. The spectral type assigned to a star of a given temperature can differ by 3 subtypes, depending on luminosity class, with the largest differences being seen for G stars. However, the difference in color index between luminosity classes III and V for a given temperature is less than 0.03 for B-V and R-I. The spectral subtype I derived here is based on the observed color index. The difference in the color temperatures thus obtained is a function of the reddening. By adjusting the reddening to minimize the difference between the B-V and R-I color temperatures, an estimate to extinction can be made. The extinction is determined to be the A needed to make to B-V and R-I temperatures the same. This methodology was tested against the background stars in the Orion OB1a fields. The results produced small extinctions to the background stars of between A and A.

However, when the same techniques were applied to the X--ray data, very unusual results were obtained. Extinctions of A or < 0 were not uncommon. These results are considered spurious and were likely the effect of photospheric contamination by the active chromosphere. Such unusual extinctions could be the result of chromospheric activity which was primarily detected in the B band and therefore made the star appear warmer in the blue than in the red. The high extinctions could be the result of strong chromospheric H line emission which is observed in the R--band and can make the R-I color temperature artificially high. Given coverage into the infrared, temperature and be independently derived from the V-K color so long as the stars lack any near-IR excess (Carney 1983). Alternatively, spectral typing gives an independent assessment of temperature. The most accurate extinction calculation requires both IR and spectral data.





next up previous
Next: Infrared Data Up: Contents Previous: Optical Photometry



Scott J. Wolk
Mon Dec 9 10:44:18 EST 1996