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KAGRA is a 3-km cryogenic interferometric gravitational wave telescopelocated at an underground site in Japan. In order to achieve its targetsensitivity, the relative positions of the mirrors of the interferometer mustbe finely adjusted with attached actuators. We have developed a model tosimulate the length control loops of the KAGRA interferometer with realisticsuspension responses and various noises for mirror actuation. Using our model,we have designed the actuation parameters to have sufficient force range toacquire lock as well as to control all the length degrees of freedom withoutintroducing excess noise.

Mirror actuation design for the interferometer control of the KAGRA gravitational wave telescope