一种用于减少相位突变点的衍射光学元件改进设计方法  

Modified Algorithm for Designing of Diffractive Optical Element to Decrease the Phase Singular Spots

作　　者：吕彦飞[1] 董渊[1] 李述涛[1] 李青松[1] 金光勇[1] 张喜和[1] 

机构地区：[1]长春理工大学理学院,吉林长春130022

出　　处：《光学学报》2012年第5期25-28,共4页Acta Optica Sinica

基　　金：国家自然科学基金(61108029);吉林省重点科技支撑计划(20110331)资助课题

摘　　要：提出了一种基于数字图像处理技术的用于降低相位突变点的改进型Gerchbery-Saxton(G-S)衍射光学元件设计方法。与普通的G-S衍射光学元件设计算法相比,这种改进型的G-S算法能够使得衍射光学元件的相位分布曲线更加光滑,并且在迭代计算过程中具有更强的收敛能力。利用该种算法获得了由高斯光束变换成空心光束时所需要的衍射光学元件的相位分布,在同样参数条件下,均方根误差为8.31%,优于普通G-S算法的9.46%;并且约有33.2%的像素的相位值得到了改进,从而平滑了衍射光学元件的相位分布曲线,便于实际的微加工。A new modified Gerchbery-Saxton（G-S） algorithm based on the technology of the digital image processing to decrease the phase singular spots is presented.The comparisons of the new modified G-S algorithm to the ordinary G-S algorithm are made,and the results show that the new modified G-S algorithm has the ability of making the phase distribution curve sleek and further decreasing.Finally,the phase distribution of the diffractive optical elements needed as the hollow beams are transformed from Gaussian beams is obtained by this algorithm,8.31% RMS error is achieved and the phase values of about 33.2% of the total pixels are modified which make the curve of phase distribution of the diffractive optical elements sleek for ease of microprocessing.

关 键 词：改进型Gerchberg-Saxton算法 相位突变点 高斯光束 相位分布曲线 均方根误差 

分 类 号：O436.1[机械工程—光学工程]