Cao Qing, Jahns Jürgen
Universität Hagen, Optische Nachrichtentechnik, Universitätsstrasse 27/PRG, 58084 Hagen, Germany.
J Opt Soc Am A Opt Image Sci Vis. 2002 Dec;19(12):2387-93. doi: 10.1364/josaa.19.002387.
Recently, a new class of diffractive optical element called a photon sieve, which consists of a great number of pinholes, was developed for the focusing and imaging of soft x rays. In terms of the closed-form formula for the far field of individual pinholes and the linear superposition principle, we present a simple yet accurate analytical model for the focusing of the pinhole photon sieve. This model is applicable to arbitrary paraxial illumination with arbitrary complex amplitude distribution at the photon sieve plane. We check the validity range of this model by comparing it with the exact Fresnel diffraction integral. Some special problems, such as the individual quasi-far-field correction for very large pinholes and the related phase shift induced by this correction, are also discussed.
最近，一种新型的衍射光学元件——光子筛被开发出来，用于软X射线的聚焦和成像，它由大量针孔组成。根据单个针孔远场的封闭形式公式和线性叠加原理，我们提出了一种简单而准确的针孔光子筛聚焦分析模型。该模型适用于光子筛平面上具有任意复振幅分布的任意傍轴照明。我们通过将该模型与精确的菲涅耳衍射积分进行比较，检验了该模型的有效范围。还讨论了一些特殊问题，如非常大针孔的单个准远场校正以及由此校正引起的相关相移。
