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We have developed non-sequential ray-tracing software which is aimed to bewidely used, along with air- shower simulations, in the design of opticalsystems for cosmic-ray experiments. The code is based on the ROOT geometrylibrary to provide a non-sequential photon tracking system, which is valuablewhen simulating refraction and multiple reflections. In addition to the basicROOT classes, we have implemented new geometry ROOT classes so that users canflexibly define various geometries such as aspherical or Winston-cone typesurfaces. We demonstrate the capabilities and performance of the software withexamples of optical systems used in current and future experiments.

Development of Non-sequential Ray-tracing Software for Cosmic-ray Telescopes