Lie group analysis method for the transverse shift of electromagnetic wave on interface of media

Article type: Research Article

Authors: Mingliang, Zheng^a;

Affiliations: [a] School of Electrical and Mechanical Engineering, Taihu University of Wuxi, Wuxi, China E-mails: zhengml@wxu.edu.cn, zhmlwxcstu@163.com

Correspondence: [*] Corresponding author: Zheng Mingliang, School of Electrical and Mechanical Engineering, Taihu University of Wuxi, Wuxi, 214064, China. E-mail: zhengml@wxu.edu.cn, zhmlwxcstu@163.com

Abstract: The spin Hall effect of electromagnetic wave has important application prospects in the fields of Optical-electromechanical conversion, condensed matter and high energy physics. Based on the Euler–Lagrange equations of electromagnetic field by four-dimensional covariation, a deflection model of electromagnetic wave reflecting and refracting on interface of media is established in this paper. By using Lie group analysis method, the allowable infinitesimal symmetries, conserved quantities of partial differential equations and motion equation of energy center are derived. More importantly, their detailed analytical expressions and properties are given. The content of this paper can reveal the mechanism and influencing factors for transverse shift of the electromagnetic wave energy center, and provide a powerful theoretical basis for the numerical simulation of nonlinear photoelectric wave equation and spin regulation.

Keywords: Electromagnetic wave, Lie symmetries, conserved quantities, transverse shift

DOI: 10.3233/JAE-201543

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 65, no. 4, pp. 753-761, 2021