Local dynamical characteristics of Bessel beams upon reflection near the Brewster angle

doi:10.1088/1674-1056/abd390

Abstract We analytically and numerically study the local dynamical characteristics of the Bessel beams reflected from an air-glass interface near the Brewster angle. A Taylor series expansion based on the angular spectrum component is applied to correct the reflection coefficients near the Brewster angle. Using a hybrid angular spectrum representation and vector potential method, the explicit expressions for the electric and magnetic field components of the reflected Bessel beams are derived analytically under paraxial approximation. The local energy, momentum, spin, and orbital angular momentum of the Bessel beams upon reflection near the Brewster angle are examined numerically by utilizing a canonical approach. Numerical simulation results show that the properties of these dynamical quantities for the Bessel beams near Brewster angle incidence change abruptly, and are significantly affected by their topological charge, half-cone angle, and polarization state. The present study has its importance in understanding the dynamical aspects of optical beams with vortex structure and diffraction-free nature during the reflection process.

Keywords: Bessel beams reflection Brewster angle momentum angular momentum

Received: 22 September 2020
Revised: 23 October 2020
Accepted manuscript online: 15 December 2020

PACS:	42.25.Gy	(Edge and boundary effects; reflection and refraction)
	42.60.Jf	(Beam characteristics: profile, intensity, and power; spatial pattern formation)
	42.50.Tx	(Optical angular momentum and its quantum aspects)

Fund: Project supported by the Natural Science Foundation of Shaanxi Province, China (Grant No. 2020JM-210) and the National Natural Science Foundation of China (Grant No. 61675159).

Corresponding Authors: ^†Corresponding author. E-mail: zwcui@mail.xidian.edu.cn ^‡Corresponding author. E-mail: yuanfeihuixd@163.com

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Zhi-Wei Cui(崔志伟), Shen-Yan Guo(郭沈言), Yuan-Fei Hui(惠元飞), Ju Wang(王举), and Yi-Ping Han(韩一平) Local dynamical characteristics of Bessel beams upon reflection near the Brewster angle 2021 Chin. Phys. B 30 044201

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Local dynamical characteristics of Bessel beams upon reflection near the Brewster angle

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