论文标题
在空间的重力波检测中倾斜到长度失真耦合的远场波前误差的估计
The estimation of far-field wavefront error of tilt-to-length distortion coupling in space-based gravitational wave detection
论文作者
论文摘要
在基于空间的引力波检测中，扭曲光束远场波前误差的估计是降噪的前提。 Zernike多项式用于描述传输扭曲的光束的波前误差。数值计算两个望远镜孔之间的激光束在两个望远镜孔之间的传播。远场波前误差估计为扭曲的高斯梁和无参考失真高斯光束之间的峰到谷相位偏差的绝对高度。结果表明，指向抖动与波前误差密切相关。此外，当抖动从100 nrad减少10倍时，波前误差会减少超过一个数量级。在多参数最小化的分析中，在某些参数范围内，波前误差的最小误差倾向于z [5,3] Zernike。一些zernikes与接收到的光束的波前误差有很强的相关性。当光圈直径在z [5,3] Zernike处增加时，波前误差不是单调的，并且具有振荡。然而，随着手臂长度从10 $^{ - 1} $ mkm增加到10 $^3 $ mkm，波浪前误差几乎保持恒定。当手臂长度从10 $^{ - 1} $ mkm到10 $^{ - 4} $ mkm时，三个数量级的长度减小时，波前错误只有一个数量级的增加。在10 $^{ - 4} $ mkm到10 $^3 $ mkm的范围内，波前误差的最低极限是从0.5 fm到0.015 fm，在Z [5,3] Zernike和10 nrad jitter。
In space-based gravitational wave detection, the estimation of far-field wavefront error of the distorted beam is the precondition for the noise reduction. Zernike polynomials is used to describe the wavefront error of the transmitted distorted beam. The propagation of a laser beam between two telescope apertures is calculated numerically. Far-field wavefront error is estimated with the absolute height of the peak-to-valley phase deviation between distorted Gaussian beam and a reference distortion-free Gaussian beam. The results show the pointing jitter is strongly related to the wavefront error. Furthermore, when jitter decreases 10 times from 100 to 10 nrad, wavefront error reduces for more than an order of magnitude. In the analysis of multi-parameter minimization, the minimum of wavefront error tends to Z[5,3] Zernike in some parameter ranges. Some Zernikes have a strong correlation with wavefront error of the received beam. When the aperture diameter increases at Z[5,3] Zernike, wavefront error is not monotonic and has oscillation. Nevertheless, wavefront error almost remains constant with the arm length increasing from 10$^{-1}$ Mkm to 10$^3$ Mkm. When the arm length decreases for three orders of magnitude from 10$^{-1}$ Mkm to 10$^{-4}$ Mkm, wavefront error has only an order of magnitude increasing. In the range of 10$^{-4}$ Mkm to 10$^3$ Mkm, the lowest limit of the wavefront error is from 0.5 fm to 0.015 fm, at Z[5,3] Zernike and 10 nrad jitter.
