Abstract
We describe the recent development of cryogenic sapphire mirrors and their seismic attenuation system (SAS) for the KAGRA gravitational wave detector. We briefly outline the current R&D status of sapphire mirror development. The SAS for the sapphire mirrors is under development, and we report the concept of the system and the sapphire suspension, and predict the performance based on a mathematical model with and without feedback control.
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