Retraction of: Scientific Reports https://doi.org/10.1038/s41598-025-85527-9, published online 07 January 2025

The Authors have retracted this Article

The Authors have identified an error in the simulation and analysis process of vibration sensitivity. Figure 6(C) in the Article presents the results of the vibration sensitivity analysis of the cavity, which was initially analyzed by setting constraints on six tapers. Upon re-analysis, the Authors believe that directly setting the taper surface as fixed in the assembly is incorrect. In the finite element analysis, when acceleration is applied to the cavity, the tapers do not deform (as shown in Fig. 6(C)) because they are set to be fixed. Setting the taper as fixed also causes the cavity to be pulled in the opposite direction of the acceleration, leading to incorrect results in the vibration sensitivity analysis.

Vibration sensitivity analysis directly affects the stability of the reference cavity and the frequency stability of the ultra-stable laser. Accurate analysis of the vibration sensitivity of the cavity is crucial, and an error in the analysis may render the cavity structure design unreasonable. The Authors therefore decided to retract this paper. All Authors agree with this retraction.