Reflection and transmission of an Airy beam in a dielectric slab  

作　　者：Xiaojin Yang Tan Qu Zhensen Wu Haiying Li Lu Bai Lei Gong Zhengjun Li 杨小锦;屈檀;吴振森;李海英;白璐;巩蕾;李正军(School of Physics and Optoelectronic Engineering,Xidian University,Xi’an 710071,China;School of Electronic Engineering,Xidian University,Xi’an 710071,China;School of Photoelectric Engineering,Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]School of Physics and Optoelectronic Engineering,Xidian University,Xi’an 710071,China [2]School of Electronic Engineering,Xidian University,Xi’an 710071,China [3]School of Photoelectric Engineering,Xi’an Technological University,Xi’an 710021,China

出　　处：《Chinese Physics B》2022年第7期290-301,共12页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.62071359,61975158,62001377,and 61801349);China Postdoctoral Science Foundation(Grant No.2016M602770);Natural Science Basic Research Plan in Shaanxi Province of China(Grant Nos.2019JQ405,2019JM-238,2020JM-192,and 2021JM-135);Natural Science Basic Research Program of Shaanxi,China(Grant No.2020JQ-331);Postdoctoral Science Foundation in Shaanxi Province and the Fundamental Research Funds for the Central Universities,Scientific Research Program Funded by Shaanxi Provincial Education Department(Grant No.20JS059);the Open Foundation of Laboratory of Pinghu,Pinghu,China。

摘　　要：The reflection and transmission of a finite-power Airy beam incident on a dielectric slab are investigated by an analytical method.Based on the plane-wave angular spectrum expansion and Fresnel approximation,the analytical expressions of the reflected field,internal field as well as transmitted field in each region are obtained.Through numerical simulations,the intensity distributions of the incident beam,reflected beam,internal beam as well as transmitted beam are presented at oblique incidence.Besides,we also compare the intensity distributions of the geometrical-optics beam field,the first order beam mode field and the actual beam field,which indicates that the contribution of each order beam mode field to the actual beam field is related to the refractive index of the dielectric slab.Meanwhile,the reflection characteristics of the Airy beams in the special cases of Brewster incidence and total reflection are investigated.Finally,the effects of the optical thickness and refractive index of the dielectric slab on the peak intensity distributions and beam shifts of the reflected and transmitted beams are also discussed in detail.The analytical and numerical results will be useful to analyze the propagation dynamics of Airy beam in the dielectric slab and provide some theoretical supports to the design of optical film.

关 键 词：Airy beam dielectric slab Fresnel approximation reflection and transmission 

分 类 号：O43[机械工程—光学工程]