一种近似矢量衍射模型在衍射微光学元件分析中的应用

标量衍射理论形式简洁，有很高实用性，但是在衍射微光学元件分析中显得模型粗糙，准确度下降。严格矢量衍射理论由于计算复杂，非常耗费时间和资源，因此也不是一种很有效的设计工具。 我们在本文中运用了一种简单的近似矢量衍射模型分析了几种典型衍射微光学元件衍射性能，此衍射模型采用了标量衍射理论和近似近场模型的结合。 TE和TM两种偏振模式均运用此近似矢量衍射模型进行了分析，我们发现此衍射模型可以得到比标量衍射理论更准确的结果，而与严格电磁场理论相比，它占用很少的计算时间。

Application of an approximate vectorial diffraction model to analysing diffractive micro-optical elements

Scalar diffraction theory, although simple and efficient, is too rough for analyzing diffractive micro-optical elements. Rigorous vectorial diffraction theory requires extensive numerical efforts,and is not a convenient design tool. In this paper we employ a simple approximate vectorial diffraction model which combines the principle of the scalar diffraction theory with an approximate local field model to analyze the diffraction of optical waves by some typical two-dimensional diffractive micro-optical elements. Both the TE and TM polarization modes are considered. We have found that the approximate vectorial diffraction model can agree much better with the rigorous electromagnetic simulation results than the scalar diffraction theory for these micro-optical elements.