位相光栅色散特性的矢量衍射理论分析

在矢量衍射理论基础上给出了适用于任意斜入射下位相光栅反射区和透射区的广义光栅方程和广义色散公式，对位相光栅色散能力做了理论和数值分析，考察了入射角、入射方位角、入射波长、光栅周期、衍射区域介质折射率和衍射级次等六个物理量之间的相互制约关系，确立了光栅约束不等式，指出了提高光栅色散的所有可能的途径. 关键词： 位相光栅 色散特性 矢量衍射理论

The vector diffraction theory analysis of chromatic dispersion characteristics o f phase grating

In this paper broad sense grating equation and broad sense chromatic dispersion formula that can be applied to reflection and transmission regions of phase grating in arbitrary oblique angle of incidence are discussed based on the vector diffraction theory. At the same time, the theoretical and numerical analyses for the chromatic dispersion capabilities of the phase grating are made to confirm the reciprocal restricted relation among the incident angle, the incident azimu thal angle, the incident wavelength, the grating period, the refractive index of the substrate in the diffraction area, and the order of diffraction,then the re stricted inequality of grating can be constructed. On the other hand, all possib ilities of improving the chromatic dispersion are presented.