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Resolving power of a hybrid zone-plate/gradient-index lens system

机译:混合区片/渐变折射率透镜系统的分辨能力

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Following the Rayleigh criterion for resolution, we analyze the resolving power of a hybrid optical structure composed of a zone plate and a gradient-index lens at focal planes inside and outside the lens in terms of the type and number of zones of the zone plate. The Fraunhofer approximation can be invoked to study the irradiance at the Fourier planes inside the lens. In all other cases, the Fresnel diffraction integral must be used, although the resolution defined by the Rayleigh criterion still holds. We compare the limit of resolution for the hybrid structure with the resolution of a lens with the same aperture diameter as a function of the number of zones, stating that both coincide for a large number of zones. Finally, we present irradiance profiles with both approximations at various planes inside the lens and compare the results with those obtained by the use of zone plates in free space.
机译:根据分辨率的瑞利准则,我们根据区域板的区域类型和数量,分析了由区域板和渐变折射率透镜组成的混合光学结构在透镜内部和外部的焦平面上的分辨能力。可以调用弗劳恩霍夫(Fraunhofer)近似值来研究透镜内部傅里叶平面的辐照度。在其他所有情况下,都必须使用菲涅耳衍射积分,尽管瑞利标准定义的分辨率仍然成立。我们将混合结构的分辨率极限与具有相同孔径直径的透镜的分辨率作为区域数量的函数进行比较,并指出两者在大量区域上是一致的。最后,我们介绍了在透镜内部各个平面上具有两个近似值的辐照度轮廓,并将结果与​​通过在自由空间中使用区域板获得的结果进行了比较。

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