Cryogenic suspension design for a kilometer-scale gravitational-wave detector

We report the mirror suspension designs for Large-scale Cryogenic Gravitational wave Telescope, KAGRA. Mirror thermal noise is one of the fundamental noises for the room-temperature gravitational-wave detectors such as Advanced LIGO and Advanced Virgo. Thus, reduction of thermal noise is inevitable for further improvement of their sensitivity. One effective approach for reducing thermal noise is to cool the mirrors. However, there are many items to be considerred for cooling the mirrors such as vibration induced from cryocoolers, suspension drift due to the thermal contraction, and deterioration of a duty cycle of an operation. Our mirror suspension has a black coating that prompts radiative cooling effectively. For conduction cooling, we developed ultra high purity aluminum heat conductors, which yields a high thermal conductivity while keeping the spring constant sufficiently small. A unique inclination adjustment system, called moving mass, is used for aligning the mirror orientation in pitch. Our suspensions have already been installed at the KAGRA site, and test operation called bKAGRA Phase 1 operation was performed. In bKAGRA Phase 1 operation, no fatal problem was found. The mirror temperature reached to 18 K, which is lower than the target temperature, 20 K. Initial mirror inclination adjustment at cryogenic temperature was achieved, and a 3-km Michelson interferometer was locked. Given the successful demonstration of these functionalities, our suspension design can serve as a standards of cryogenic mirror suspension for future kilometer-scale cryogenic gravitational-wave detectors, such as LIGO Voyager, Cosmic Explorer, and Einstein Telescope.