A modified precious mean zone plate (MPMZP) is proposed to generate twin equal-intensity foci with the same resolution related to the precious mean. The MPMZP with a bigger copy number $C$ can generate two equal-intensity foci with approximately the same resolution. The energy efficiencies of twin foci generated by the MPMZP are approximately the same. Moreover, the MPMZP with a helical phase can generate twin vortices with the same diameter. In addition, it is proven numerically that the MPMZP beam and the spiral-phase MPMZP beam have the self-reconstruction property. The construction method of the MPMZP is illustrated in detail. Moreover, it is proven in the simulations and experiments that twin equal-intensity foci generated by the MPMZP have the same resolution, and the spiral-phase MPMZP can produce twin vortices with the same diameter. The proposed zone plate can be used for optical lithography in two planes at the same extent, and applied to rotate different particles in two planes at the same speed and generate two of the same clear images at two planes related to the precious mean.

中文翻译：

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由修改后的珍贵平均波带片生成的具有相同分辨率的双等强度焦点。

提出了一种改进的珍贵均值波带板（MPMZP），以产生与该均值相关的相同分辨率的双等强度震源。副本编号为$ C $的MPMZP可以产生两个大致相同分辨率的等强度焦点。MPMZP生成的双焦点的能量效率大致相同。此外，具有螺旋相的MPMZP可以产生具有相同直径的双涡旋。另外，数值证明了MPMZP光束和螺旋相位MPMZP光束具有自重构特性。详细说明了MPMZP的构建方法。此外，通过仿真和实验证明，由MPMZP产生的双等强度焦点具有相同的分辨率，螺旋相MPMZP可以产生具有相同直径的双涡旋。所建议的波带片可以在两个平面上以相同程度用于光学光刻，