Geometric aberration theory of double-element optical systems
Geometric aberration theory of double-element optical systems
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DOI：
10.1364/josaa.16.002253
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发表时间：
1999-09
影响因子：
1.9
通讯作者：
S. Masui;T. Namioka
中科院分区：
文献类型：
--
作者：
S. Masui;T. Namioka
本文建立了由扩展光源、两个椭球光栅和像面组成的面对称双元件光学系统的三级像差理论。光栅可以具有可通过当前可用技术产生的任何凹槽图案。根据射线追踪理论，推导了系统的点图解析公式。利用这些公式，详细讨论了系统的彗差、球差、像散、场曲和畸变，以及聚焦条件。点图公式进行了严格的评价，与射线追踪比较。结果表明，它们能够以高精度再现光线跟踪光斑。
A third-order aberration theory has been developed for a plane-symmetric double-element optical system that consists of an extended source, two ellipsoidal gratings, and an image plane. The gratings can have any of the groove patterns producible by means of currently available technologies. Analytic formulas of spot diagrams are derived for the system by analytically following a ray-tracing formalism. With these formulas coma, spherical aberration, astigmatism, field curvature, and distortion of the system are discussed in detail together with the focusing conditions. The spot-diagram formulas are critically evaluated in comparison with ray tracing. The result shows their capability in reproducing ray-traced spots with a high degree of accuracy.