摘要
针对液晶空间光调制器控制单元数多,直接进行波前相位畸变补偿时计算量大的问题,将控制输入与描述波前畸变的Zernike多项式系数形成映射,极大地减小了优化维数,有效地提高了计算效率。引入单纯形算法,通过使设计的性能指标达到最优,得到最佳的Zernike多项式,实现了精确的波前畸变补偿。针对传统的单纯形算法易收敛于局部极点,无法实现全局最优的特点,对单纯形算法进行了改进,仿真结果表明,改进后的算法可以通过强制初始化达到全局最优,同时分析了各种改进算法的特点,为实际应用提供了依据。
The simplex algorithm is introduced and the control inputs form mapping with Zernike polynomial coefficients because the amount of calculation if large when liquid crystal space light modulator directly compensate wave- front phase distortion. The performance metric if optimized and theexcellent Zernike polynomial if obtained which can realize precise compensation for wavefront distortion. The simplex algorithm is modified because the traditional simplex algorithm easily converges to the local minimums and the global optimization can not be achieved. The simulation results show that the modified simplex methods can force initialization to achieve the global optimization, and the analyses to the characteristics of modification provide basis for practical application.
出处
《激光与红外》
CAS
CSCD
北大核心
2011年第2期187-191,共5页
Laser & Infrared
基金
创新团队发展计划项目(No.IRT0520)资助
