Study on the effect of ULE rings on the vibration sensitivity of horizontal ultra-stable optical cavities

The mass vibration sensitivities are calculated by using FEA under a variety of variables including cavity's length and supporting position. The calculation results show that the effect of ULE rings on the vibration sensitivity is greater with increasing the cavity's length in the case of other variables unchanged. For longer cavities, as the distance between supporting position and ULE rings increases, the length variation induced by ULE rings is obvious, eventually leading to change the position of zero vibration sensitivity. In conclusion, the analysis results about the effect of ULE rings on the vibration sensitivity in this paper are helpful to optimization design of vibration sensitivity of horizontal ultra-stable optical reference cavities, specifically longer and thinner optical reference cavities.