Optimized design of a gravitational wave telescope system based on pupil aberration

The telescope is vital for accurate gravitational wave detection in the TianQin project. It must meet criteria like a geometric tilt -to -length (TTL) coupling noise coefficient <= 0.02 root 2 nm/mu rad and wavefront RMS <= lambda /30. Analyzing the pupil aberration's impact on geometric TTL noise, we devised an optimization method using the chief ray spot diagram's standard deviation. Implementing this in Zemax with a ZPL macro, we designed an optical system meeting TianQin's requirements. The system has a maximum geometric TTL noise coefficient of 0.0250 nm/grad over the science FOV and a wavefront RMS of 0.0111 lambda, confirming the method's feasibility. (c) 2024 Optica Publishing Group