A numerical optimization method for ultra-stable optical cavities

In order to reduce the vibration sensitivity of ultra-stable optical cavity, a new parameter was defined to characterize the vibration sensitivity of optical cavity by considering the displacement and rotation of mirrors. Based on the finite element analysis method, a typical vertical ultra-stable optical cavity was optimized by using the defined single parameter. In the optimization process, the key geometric parameters, including the cavity diameter, position and depth of supporting hole were took into account. The results show that the optimized cavity structure and support method could obviously reduce the vibration sensitivity of ultra-stable cavity. The stability of cavity was 1.5 times higher than that before optimization. The optimization method with good feasibility could improve the efficiency of simulation and design of ultra-stable cavities.