Home Taiji Ya-Zheng Tao, Rui-Hong Gao, Hong-Bo Jin, Zhen-Xiang Hao, Gang Jin, and Yue-Liang Wu, "Approximate model for the coupling of far-field wavefront errors and jitter in space-based gravitational wave laser interferometry," Opt. Express 33, 6135-6159 (2025)
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Ya-Zheng Tao, Rui-Hong Gao, Hong-Bo Jin, Zhen-Xiang Hao, Gang Jin, and Yue-Liang Wu, "Approximate model for the coupling of far-field wavefront errors and jitter in space-based gravitational wave laser interferometry," Opt. Express 33, 6135-6159 (2025)

by admin - Jun 5, 2026

pace-based gravitational wave observatories, such as LISA, Taiji, and TianQin, employ long-baseline laser interferometry, necessitating displacement measurement sensitivity at 1 pm/ level. A significant challenge in achieving this precision is the coupling noise arising from far-field wavefront errors (WFE) and laser pointing jitter. This paper presents a comprehensive noise model that incorporates three critical factors: transmitted WFE, static pointing angle, and laser beam jitter. Utilizing the Nijboer-Zernike diffraction theory, we derive an approximate expression for far-field WFE, ensuring minimal error and efficient computational performance. The approximate expression has convincing physical interpretability and reveals how various Zernike aberrations and their coupling impact far-field WFE. Furthermore, the study identifies that correcting optical axis deviations induced by  through beam tilt exacerbates far-field WFE, underscoring the necessity for active suppression of . The proposed model facilitates detailed system simulations of the laser link, evaluates tilt-tolength (TTL) noise, and offers theoretical insights for system optimization.