光学学报, 2011, 31 (6): 0623002, 网络出版: 2011-05-16
基于柯西色散公式的多层衍射光学元件的设计和分析 下载: 701次
Design and Analysis of Multi-Layer Diffractive Optical Elements with Cauchy Dispersion Formula
衍射 多层衍射光学元件 衍射效率 柯西色散近似公式 diffraction multi-layer diffractive optical elements diffraction efficiency Cauchy dispersion approximate formula
摘要
以衍射光学元件相位延迟表达式为理论基础,采用光学材料的折射率柯西色散近似公式,研究并得到了多层衍射光学元件的相位延迟与材料的关系,以及衍射效率与设计波长的关系。在400~700 nm可见光波段,以聚甲基丙烯酸酯和聚碳酸酯为基底材料,由柯西色散近似公式设计的多层衍射光学元件的最大带宽积分平均衍射效率为99.62%,相应的设计波长为440.5 nm和605.5 nm。用该组设计波长和不同设计方法确定的设计波长,对多层衍射光学元件的衍射效率和带宽积分平均衍射效率进行了分析,得到了相应的衍射效率分布误差,进一步揭示了多层衍射光学元件的衍射效率与材料无关,只与设计波长有关。
Abstract
According to the theory of phase retardation expression, the relation between the phase retardation function of multi-layer diffractive optical element (MLDOE) with Cauchy dispersion approximate refractive indices formula and characteristics of material, along with the relation between diffraction efficiency and design wavelengths are studied. In the visible region from 400 to 700 nm, the MLDOE consists of two harmonic diffractive elements with different dispersive optical materials such as polymethyl methacrylate and polycarbonate. The maximum bandwidth integrated average diffraction efficiency (BIADE) of the MLDOE designed with Cauchy dispersion approximate refractive indices formula is 99.62%, and the corresponding design wavelengths are 440.5 nm and 605.5 nm. The diffraction efficiency of BIADE and of MLDOE is analyzed with design wavelengths of thispaper and other methods. Distribution error of diffraction efficiencies is given, which proves that the diffraction efficiencies of MLDOE are independent on materials but dependent on design wavelengths only.
薛常喜, 崔庆丰, 杨亮亮, 刘涛. 基于柯西色散公式的多层衍射光学元件的设计和分析[J]. 光学学报, 2011, 31(6): 0623002. Xue Changxi, Cui Qingfeng, Yang Liangliang, Liu Tao. Design and Analysis of Multi-Layer Diffractive Optical Elements with Cauchy Dispersion Formula[J]. Acta Optica Sinica, 2011, 31(6): 0623002.