Dynamic model and vibration modes of an optical reference cavity with a support system for space applications

The anti-vibration design of the optical reference cavity with a support system is one of the key technologies of the ultra-stable laser. A number of advanced science need ultra-stable lasers to meet the requirements of the space environment, which puts forward new requirements for optical reference cavity and its support system and needs to meet the requirements of strong vibration such as rocket launch. Because the optical reference cavity is often made of low expansion glass, it is easy to be fracture by vibration. In this paper, the transfer path of vibration of the optical reference cavity with a support system is analyzed, and the dynamic model is established. Using this model, the analytical expression of resonance frequency along the vertical vibration direction is given. The numerical simulation model of the optical reference cavity with a support system is established by using the finite element method, and the first four vibration modes are presented. The first five resonance frequencies of the system are given. The results of this work can guide the anti-vibration design and improve the anti-vibration robustness of the optical reference cavity for space applications.