Cao Qing, Jahns Jürgen
Optische Nachrichtentechnik, FernUniversität Hagen, Universitätsstrasse 27/PRG, 58084 Hagen, Germany.
J Opt Soc Am A Opt Image Sci Vis. 2004 Apr;21(4):561-71. doi: 10.1364/josaa.21.000561.
A series-form expression for the individual diffracted field of a general annular ring is derived from the Rayleigh-Sommerfeld diffraction integral. It can be used for the accurate and fast simulation of any diffractive focusing element composed of concentric transparent rings. We present a comprehensive analysis, based on the leading term and the linear superposition principle, of the focusing performances of various Fresnel zone plates. Many problems, such as the equivalent aperture function, the diffraction efficiency, the focal spot pattern, the suppression of higher orders and the appearance of "fractional orders," and the explanation for the appearance of Fraunhofer diffraction patterns, are analytically investigated in detail. Because of the great similarity between Fresnel zone plates and multilevel diffractive lenses, most of the obtained results are also applicable to multilevel diffractive lenses.
从瑞利 - 索末菲衍射积分推导出了一般环形环的单个衍射场的级数形式表达式。它可用于精确快速地模拟由同心透明环组成的任何衍射聚焦元件。基于首项和线性叠加原理，我们对各种菲涅耳波带片的聚焦性能进行了全面分析。对许多问题进行了详细的解析研究，如等效孔径函数、衍射效率、焦斑图案、高阶抑制和“分数阶”的出现，以及对夫琅禾费衍射图案出现的解释。由于菲涅耳波带片与多级衍射透镜非常相似，所得到的大多数结果也适用于多级衍射透镜。
