利用光学传输矩阵, 结合广义惠更斯-菲涅耳光学衍射公式, 研究了艾里高斯涡旋光束在正负折射率交替变化周期平板介质中传输时, 其输出横截面光强分布规律和侧面传输光强的演变图景。结论显示: 当右手材料折射率nr和双负材料折射率nl绝对值正好相等, 并且右手单元长度R: 双负单元长度L=1:1时, 可以实现输出面光强的完美还原; 当双负材料折射率绝对值abs(nl)≠nr, 但R=L时, 两类周期介质输出表面的光束质量都很差, 此时, 若要实现输出光强的完美还原, 较大的abs(nl)需要较长的双负单元长度L来进行补偿, 反之则反; 进一步探究了准周期平板介质中双负材料单元长度和负折射率的定量关系。期望相关结论可以对含特异材质周期和准周期结构中艾里高斯涡旋光束的调控和通信传输提供重要的参考价值。

Based on light transfer matrix and generalized Huygens-Fresnel optical diffraction formula, the propagation evolution of Airy Gaussian vortex beam's normalized intensity distribution on emergent surface, side transmission view in periodic slab system contained right-handed and double negative material(DNM) were explored. Research shows that the original Airy Gaussian vortex beam intensity can be restored immaculately by using periodic slab system contained negative index material as long as the negative refractive index abs(nl)=nr and each unit length R:L=1:1; while abs(nl)≠nr but R=L, both types of emerging beams had poor quality, and in order to achieve beam reconstruction, the larger abs(nl) was, the longer DNM unit length was needed, and vice versa. Relation between DNM unit length and nl was thoroughly studied as well. It is expected that the relevant conclusions could provide important reference value for extension applications of optical control and communication transmission technique of the Airy Gaussian vortex beam propagating in the periodic and quasi-periodic metamaterials structure.