光学学报, 2010, 30 (9): 2473, 网络出版: 2014-05-15   

改进的自适应加法算法及其在衍射光学元件设计中的应用

The Ameliorated Adaptive-Additive Method and Its Applying in the Designing of Diffractive Optical Element
作者单位
国防科学技术大学光电科学与工程学院, 湖南 长沙 410073
摘要
随着激光的广泛应用,在许多场合都需要对其进行光束整形,其中最重要的整形元件就是衍射光学元件(DOE)。引用了自适应加法(AA)算法,并且对其进行了改进,一方面克服了AA算法的两个缺陷,另一方面提高了AA算法的精度。在AA算法中加入自动选取参数λ的环节,使得不必采用尝试法确定参数,减小了DOE设计的工作量。此外,还提出了三种克服分母出现零点的方法。应用AA算法设计了整形高斯光束的DOE以及一维光栅分束器,并得到理想的结果。对比了AA算法和高斯(GS)算法,说明AA算法具有优势和潜力,可以简单高效地应用于DOE的设计。
Abstract
According to the application of laser, the distribution of the light intensity usually need shaping. The most important element is diffractive optical element (DOE). adaptive-additive (AA) method is applied and ameliorated, which conquer the two bugs of AA method and improve the precision. A procedure of auto selecting parameter is added in the AA method, in order to reduce the workload of designing. Several ways are proposed to solve the possibility appearing of zero in the denominator. At last, a DOE is designed to shape Gaussian light to square distribution light as well as a grid to divide light, and the results are good. Compared with the AA method, the Gauss method shows its merit. All of these prove the feasibility of the AA method for DOE designing.

温昌礼, 季家镕, 窦文华, 宋艳生. 改进的自适应加法算法及其在衍射光学元件设计中的应用[J]. 光学学报, 2010, 30(9): 2473. Wen Changli, Ji Jiarong, Dou Wenhua, Song Yansheng. The Ameliorated Adaptive-Additive Method and Its Applying in the Designing of Diffractive Optical Element[J]. Acta Optica Sinica, 2010, 30(9): 2473.

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