论文标题
低索引薄扁平镜片中分散体的标量衍射分析
Scalar Diffraction Analysis Of Dispersion In Low-Index Thin Flat Lenses
论文作者
论文摘要
我们通过使用标量衍射和有限差时间域（FDTD）方法分析了低索引薄镜头的分散性能。我们比较了通过使用这些方法与报告的实验结果获得的分散结果，以及衍射镜的焦距（F）的众所周知的分析公式，这是波长（λ），F（λ_0）/λ的函数，其中f_0是f_0是为波长λ_0的设计焦距。我们表明，当将分析公式应用于具有低反射指数的薄扁平透镜时，结果对于高达0.2的小数值孔径（NA）是准确的。对于较大的NA，分析近似和FDTD分析之间的误差在广泛的NA范围内保持约8％。
We analyze the dispersion property of low-index thin lenses by using scalar diffraction and finite difference time domain (FDTD) methods. We compare the dispersion results obtained by using these methods with reported experimental results, and the well-known analytical formula for focal length (f) of diffractive lenses as a function of wavelength (λ),f(λ)=(f_0 λ_0)/λ,where f_0 is the designed focal length for wavelength λ_0. We show that when the analytical formula is applied to thin flat lenses with low-refractive index, the results are accurate for small numerical aperture (NA) up to 0.2. For larger NA, the error between the analytical approximation and the FDTD analysis remains around 8% over a wide range of NA.
