中国激光, 2005, 32 (6): 798, 网络出版: 2006-06-06
波像差与光束质量β因子的关系
Relationship between Beam Quality Factor β and Wavefront Error
大气光学 光束质量 波像差 β因子 泽尼克多项式 大气湍流 atmospheric optics beam quality wavefront error factor β Zernike polynomials atmosphere turbulence
摘要
分析了光学系统的波像差与对应的光束质量β因子间的关系,推导了光束质量β因子的近似计算公式。用数值计算方法建立了各种泽尼克多项式的波像差均方根值(RMS)与β因子间的拟合关系式。在此基础上,分析了科尔莫哥诺夫大气湍流引起的波像差与对应光束质量β因子间的关系。数值计算结果验证了推导的近似计算公式在相当大的像差范围内是准确的。
Abstract
The relationship between beam quality factor β and wavefront error was analyzed in this paper. Approximate formulas to calculate β from room-mean-square (RMS) of wavefront error were deduced. The relationship between β and several Zernike polynomials was obtained by numerical calculation through fast Forier transform (FFT) method. The approximate formula to estimate β from atmosphere disturbed wavefront error was given too. These approximate formulas were compared and verified well with the results of numerical calculation.
李新阳, 鲜浩, 王春鸿, 姜文汉. 波像差与光束质量β因子的关系[J]. 中国激光, 2005, 32(6): 798. 李新阳, 鲜浩, 王春鸿, 姜文汉. Relationship between Beam Quality Factor β and Wavefront Error[J]. Chinese Journal of Lasers, 2005, 32(6): 798.