On the parameterization of patterns in the imaging atmospheric Cherenkov technique

Physics

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Scientific paper

A new method for analytical description of images (patterns) of the air showers detected by imaging atmospheric Cherenkov telescopes is proposed. It is shown that the generally accepted procedure constructs the image as a fourth-order plane curve (Booth's lemniscate). The method proposed for.m.s. a uniformly illuminated elliptical image preserving the same first- and second-order moments of the registered light disribution. Such a representation describes the angular size of image correctly and allows us to conclude that pixel size less than 0.2^∘ is not particularly advantageous. Unified formulae for the calculation of Hillas' as well as the new parameters are presented. A comparative analysis of the approaches for separation of gamma- and proton-induced air showers is made. A new parameter is proposed which is more effective than AZWIDTH.

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