Approximate model for the coupling of far-field wavefront errors and jitter in space-based gravitational wave laser interferometry
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913568019972096 |
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| author | Tao, Ya-Zheng Gao, Rui-Hong Jin, Hong-Bo Hao, Zhen-Xiang Jin, Gang Wu, Yue-Liang |
| author_facet | Tao, Ya-Zheng Gao, Rui-Hong Jin, Hong-Bo Hao, Zhen-Xiang Jin, Gang Wu, Yue-Liang |
| contents | Space-based gravitational wave observatories, such as LISA, Taiji, and TianQin, employ long-baseline laser interferometry, necessitating displacement measurement sensitivity at 1 pm/$\sqrt{Hz}$ 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 $Z_3^{\pm1}$ through beam tilt exacerbates far-field WFE, underscoring the necessity for active suppression of $Z_3^{\pm1}$. The proposed model facilitates detailed system simulations of the laser link, evaluates Tilt-to-Length (TTL) noise, and offers theoretical insights for system optimization. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_22914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximate model for the coupling of far-field wavefront errors and jitter in space-based gravitational wave laser interferometry Tao, Ya-Zheng Gao, Rui-Hong Jin, Hong-Bo Hao, Zhen-Xiang Jin, Gang Wu, Yue-Liang Instrumentation and Methods for Astrophysics Space-based gravitational wave observatories, such as LISA, Taiji, and TianQin, employ long-baseline laser interferometry, necessitating displacement measurement sensitivity at 1 pm/$\sqrt{Hz}$ 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 $Z_3^{\pm1}$ through beam tilt exacerbates far-field WFE, underscoring the necessity for active suppression of $Z_3^{\pm1}$. The proposed model facilitates detailed system simulations of the laser link, evaluates Tilt-to-Length (TTL) noise, and offers theoretical insights for system optimization. |
| title | Approximate model for the coupling of far-field wavefront errors and jitter in space-based gravitational wave laser interferometry |
| topic | Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2410.22914 |