Rigorous vector analysis of diffractive micro-cylindrical lenses’characteristics of focal depth and focal shift
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摘要: 当衍射光学元件的特征尺寸可以与照射光波长比拟时,必须考虑光波矢量衍射特性。利用矢量分析方法——二维时域有限差分法(FDTD)对有限口径衍射微柱透镜的焦深和焦移特性进行严格矢量分析,与传统标量分析方法的结果进行了详细比较。分析给出TE波垂直入射情况下衍射微柱透镜焦深和焦移与透镜F数的关系,结果表明,微柱透镜的焦移量要大于标量分析结果,而二者得出的焦深量基本一致,这些结论对衍射微透镜的设计和实际应用有一定指导意义。同时分析了透镜面型量化对焦深和焦移的影响,讨论了矢量分析方法的数值色散、计算空间吸收边界的设置和FDTD计算区稳定电磁场向观察面的传播算法。Abstract: The vector diffraction characteristic must be considered to diffractive optical elements whose features are on the order of or smaller than the wavelength of the incident illumination. We present the rigorous vector analysis of diffractive micro cylindrical lenses that are finite in extent using a two-dimension finite-difference time-domain (FDTD) method. Using these effective analysis tools,lens' characteristics of focal depth and focal shifthave been analyzed rigorously. The results are compared with the scalar theory and the effects of quantified profiles are presented,respectively. Minimizing the numerical dispersion in the FDTD calculation region,setting the absorbing boundary and calculating the steady state electromagnetic fields' propagation from the FDTD region to the observation plane has been discussed in detail.
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