Comprehensive focusing analysis of various Fresnel zone plates
Comprehensive focusing analysis of various Fresnel zone plates
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DOI：
10.1364/josaa.21.000561
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发表时间：
2004-04-01
影响因子：
1.9
通讯作者：
Jahns, J
中科院分区：
文献类型：
--
作者：
Cao, Q;Jahns, J
从Rayleigh-Sommerfeld衍射积分出发，推导出一般圆环单个衍射场的级数形式表达式。它可用于任何由同心透明环组成的衍射聚焦元件的精确和快速模拟。本文从主导项和线性叠加原理出发，对各种菲涅耳波带片的聚焦性能进行了综合分析。对等效孔径函数、衍射效率、焦斑图样、高阶抑制和“分数阶”的出现以及夫琅和费衍射图样出现的解释等问题进行了详细的解析研究。由于菲涅耳波带片与多级衍射透镜有很大的相似性，所得结果大多也适用于多级衍射透镜。(C)2004年美国光学学会。
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. (C) 2004 Optical Society of America.