Effects of noise on the interstellar polarization law

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Polarimetry, Radiation Laws, Random Noise, Spectral Correlation, Stellar Spectra, Wavelengths, Data Simulation, Ubv Spectra

Scientific paper

Results of the reanalysis of catalogued polarimetric data are presented in terms of the Serkowski law, demonstrating how noisy data automatically produce correlations between the peakiness parameter K and the maximum wavelength. It is shown how the correlations depend on the position of the true value of the maximum wavelength relative to the wavelength bands chosen for observation, on the distrubution of the maximum wavelength values within the group of stars included in the sample for measurement, and on the noise in the data relative to the magnitudes of the p-wavelength values. It is suggested that for individual stars the best fits of data to the Serkowski law will be obtained by selecting a value of K which is appropriate to the maximum wavelength for the star and for the set of effective wavelengths used for the measurement of p-wavelength; all interpolations and extrapolations to predict values for the polarization at other wavelengths should be based on that best fit.

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