Abstract

The detection mission of gravitational waves in space is that the accuracy of the long-baseline intersatellite laser interferometry on the million-kilometer order needs to reach the order of 8 rm{pm}/sqrt{rm{Hz}}. Among all noise sources that affect the interferometry accuracy, tilt-to-length (TTL) coupling noise is the second largest source of noise after shot noise. This paper focuses on studying the contribution of TTL coupling noise of the telescope system in the intersatellite scientific interferometer. By referring to the laser interferometer space antenna (LISA)’s noise budget, TTL coupling noise is required to be within ±25μm/rad (±300μrad). Therefore, this paper focuses on studying both the mechanism of TTL coupling noise due to the noise sources of the telescope and the method of suppressing the TTL noise, which can lay a foundation for noise distribution and the development of engineering prototypes in subsequent tasks.

Highlights

  • In the “Taiji Program in Space” of the Chinese Academy of Sciences, three satellites in the formation of an equilateral triangle constitute a space-based gravitational wave observatory, which runs in the orbit around the Sun

  • We studied the TTL coupling noise that was introduced by the telescope system in the presence of the breathing angle in the millionkilometer long-baseline intersatellite laser interferometry system for the first time in the world

  • We analyzed the mechanism of the TTL coupling noise that was introduced by the telescope

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Summary

Introduction

In the “Taiji Program in Space” of the Chinese Academy of Sciences, three satellites in the formation of an equilateral triangle constitute a space-based gravitational wave observatory, which runs in the orbit around the Sun. A laser link is adopted between the satellites to measure the relative motion between different satellite test masses by laser interferometry. The distance between the test masses will change. According to the gravitational wave strain formula h = ΔL / L , the million-kilometer arm length is used to improve the sensitivity of gravitational strain. Even with such a long baseline, the accuracy of measuring the distance change is still extremely demanding. The second largest source of noise stems from the coupling noise between the angular jitter of the interfering beams and the optical path readout, called tilt-to-length (TTL) coupling. This paper will analyze the mechanism of generating TTL noise due to the telescope system for the first time in the world

Analysis of far-field wavefronts
Conclusions
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