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Chin. Phys. B, 2022, Vol. 31(7): 074202    DOI: 10.1088/1674-1056/ac4e07

Reflection and transmission of an Airy beam in a dielectric slab

Xiaojin Yang(杨小锦)1, Tan Qu(屈檀)2,†, Zhensen Wu(吴振森)1, Haiying Li(李海英)1, Lu Bai(白璐)1, Lei Gong(巩蕾)3, and Zhengjun Li(李正军)1
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
Abstract  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.
Keywords:  Airy beam      dielectric slab      Fresnel approximation      reflection and transmission  
Received:  26 October 2021      Revised:  15 January 2022      Accepted manuscript online:  24 January 2022
PACS:  42.25.Bs (Wave propagation, transmission and absorption)  
  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
  42.25.Gy (Edge and boundary effects; reflection and refraction)  
Fund: Project supported by 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. 2019JQ-405, 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), and the Open Foundation of Laboratory of Pinghu, Pinghu, China.
Corresponding Authors:  Tan Qu     E-mail:

Cite this article: 

Xiaojin Yang(杨小锦), Tan Qu(屈檀), Zhensen Wu(吴振森), Haiying Li(李海英), Lu Bai(白璐), Lei Gong(巩蕾), and Zhengjun Li(李正军) Reflection and transmission of an Airy beam in a dielectric slab 2022 Chin. Phys. B 31 074202

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