Optimization of the Collection Efficiency of a Hexagonal Light Collector using Quadratic and Cubic Bézier Curves

Abstract

Reflective light collectors with hexagonal entrance and exit apertures are frequently used in front of the focal-plane camera of a very-high-energy gamma-ray telescope to increase the collection efficiency of atmospheric Cherenkov photons and reduce the night-sky background entering at large incident angles. The shape of a hexagonal light collector is usually based on Winston's design, which is optimized for only two-dimensional optical systems. However, it is not known whether a hexagonal Winston cone is optimal for the real three-dimensional optical systems of gamma-ray telescopes. For the first time we optimize the shape of a hexagonal light collector using quadratic and cubic Bézier curves. We demonstrate that our optimized designs simultaneously achieve a higher collection efficiency and background reduction rate than traditional designs.

arXiv comment9 pages, 9 figures

References in corpus (3)

• Design Concepts for the Cherenkov Telescope Array
• The optical system of the H.E.S.S. imaging atmospheric Cherenkov telescopes, Part I: layout and components of the system
• Development of an atmospheric Cherenkov imaging camera for the CANGAROO-III experiment

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