CAJ | 학술논문

基于613单元自适应光学系统，描述了迭代矩阵和斜率响应矩阵的特性。在变形镜驱动器间距和交连值不变的情况下，研究了变形镜高斯函数指数对迭代矩阵和斜率响应矩阵稀疏度的影响，对自适应光学系统稳定性和校正能力的影响。研究表明，迭代矩阵和斜率响应矩阵的稀疏度随着变形镜高斯函数指数的增大而减小。高斯函数指数过大或者过小都会影响自适应光学系统的稳定性和校正能力。最后，综合迭代矩阵和斜率响应矩阵的稀疏度、自适应光学系统的稳定性和校正能力，给出了合理的变形镜高斯函数指数的取值范围。
기우613단원자괄응광학계통，묘술료질대구진화사솔향응구진적특성。재변형경구동기간거화교련치불변적정황하，연구료변형경고사함수지수대질대구진화사솔향응구진희소도적영향，대자괄응광학계통은정성화교정능력적영향。연구표명，질대구진화사솔향응구진적희소도수착변형경고사함수지수적증대이감소。고사함수지수과대혹자과소도회영향자괄응광학계통적은정성화교정능력。최후，종합질대구진화사솔향응구진적희소도、자괄응광학계통적은정성화교정능력，급출료합리적변형경고사함수지수적취치범위。
Among all kinds of wavefront reconstruction algorithms in adaptive optical systems, the standard and mostly used algorithm is the direct gradient wavefront reconstruction algorithm. As the number of sub-apertures in Shack-Hartmann wavefront sensor and the actuators for deformable mirror increases, the reconstruction matrix in direct gradient wavefront reconstruction algorithm takes too much space and the number of multiplication in the algorithm increases sharply. So, the iterative algorithm is adopted in wavefront reconstruction for the high-resolution adaptive optical system. The number of multiplication and the required space of the iterative algorithm are directly related to the sparseness of both iterative matrix and slope response matrix. In an adaptive optical system, the sparseness of these two matrixes is connected with the system parameters. Therefore, it is necessary to study how to choose the proper parameters for an adaptive optical system when it uses iterative wavefront reconstruction algorithm. In this paper, the sparseness of slope response matrix and iterative matrix are analyzed based on a 613-actuator adaptive optical system. The influence of the Gaussian function index of deformable mirror on the sparsenesses of slope response matrix, iterative matrix, stability and correction qualities of the adaptive optical system are also studied under the condition of constant actuator spacing and coupling coe?cient. A larger Gaussian function index results in a lower sparseness of the slope response matrix and the iterative matrix. Too large or too small a Gaussian function index will degrade the stability and the correction quality of an adaptive optical system. Finally, the optimal range of the Gaussian function index is provided by balancing the sparseness of slope response matrix, the correction quality, and the stability of the adaptive optical system.