Influence of different atmospheric models and seeing effects on the nonlinear calibration

This paper describes a technique intended to improve calibration of vector magnetograms achieved by the spectral line Fei 5324.19 Å which was first described in detail by Hagyard and Kineke Hagyard, M.J., Kineke, J.I., Improved method for calibrating filter vector magnetographs, Solar Phys., 158, 11–28, 1995.]. The technique attempts to compensate for nonlinear behavior of the measured linear and circular polarizations of the line as functions of inclination angle and field strength. This method depends on different atmospheric models. To the three different atmospheric models, the VAL-C quiet photosphere model, the Ding and Fang penumbra model and Allen umbral model, the circular polarization signal is directly linearly proportional to the longitudinal field strength in the range of 800 G, 1000 G and 1300 G, respectively. For the transverse field, however, this linear relationship holds over much smaller ranges which are 200 G, 300 G and 200 G. The improved method improves the accuracy in calibrating the polarization signals over a wide range of field strengths and inclination angles. With the seeing effects decreasing in the magnetic observation, the longitudinal fields and the transverse ones are underestimated. The differences in the zero-iterative longitudinal and transverse field are relatively minor, but differences in the multi-iterative longitudinal and transverse field can be as high as 260 G and 500 G. The improved calibration method is more sensitive to the seeing effects variation than the former calibration method.