Off-axis reflective systems have become one of the preferred solutions for space optical payloads because of their high energy efficiency and small point spread function ellipticity. However, restricted by structural asymmetry, off-axis mirrors’ integrated assembly accuracy is always difficult. To achieve higher integrated precision during assembling, an optical-mechanical integration method based on dual quaternion (DQ) is proposed in this paper to evaluate the off-axis reflective system’s wave aberration. Firstly, static analysis of the off-axis reflective optomechanical system is carried out before and after loading installation error respectively. Then, based on the DQ, the rigid body displacements (RBDs) of the off-axis mirrors are calculated to ensure the accurate extraction of the node displacement residual caused by the mirror deformation. Furthermore, the Zernike coefficients of the off-axis mirrors’ surf, obtained through the vector height of the topological nodes, are used to estimate the system’s wavefront change. Finally, compared with the integrated analysis software Sigfit, the reliability of the wave aberration evaluation obtained by the optical-mechanical integration method based on DQ is verified. Simulation and experimental results show that the optical-mechanical integration method based on DQ provides a more accurate reference for predicting the integrated assembly precision of the off-axis reflective optomechanical system.
Accurately assessing the microvibration effects on the line-of-sight (LOS) stability for the space laser communication terminal (LCT) is crucial for ensuring the long-term stability of communication links. To address this challenge, an integrated modeling approach is proposed to analyze the microvibration effects on the LOS stability for the space LCT. First, the LCT’s finite-element model, consisting of the off-axis telescope antenna and the rear optical path, is built to extract the nodes’ data of each surface on the optical element under the microvibration. Then the dual quaternion, which could avoid the solution error and insufficient generalization ability of the traditional least squares method, is used to calculate the surface’s rigid body displacement on the optical element. Furthermore, combined with the LCT’s optical sensitivity matrix obtained by the regression analysis method, the LOS jitter of the terminal is calculated to evaluate the LCT’s stability and guide the structural optimization. Finally, a test is conducted to validate the reliability of the integrated modeling approach. Simulation and experimental results show that the method proposed can further improve the accuracy of analysis and guide the structural optimization of LCT.
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