Abstract

Laguerre–Gaussian beams with vortex structure, as a special type of electromagnetic wave, can carry energy, momentum, and angular momentum, which is crucial for understanding of dynamical processes concerning light–matter interaction phenomena. In this paper, we theoretically investigate the local dynamical characteristics of Laguerre–Gaussian vortex beams upon reflection and refraction. Using a hybrid method based on the angular spectrum representation and vector potential in the Lorenz gauge, the explicit analytical expressions for the electric and magnetic field components of reflected and refracted Laguerre–Gaussian beams are derived in the form of a Hermite polynomial. A canonical approach is utilized to examine the energy, momentum, and spin and orbital angular momentum of the Laguerre–Gaussian vortex beams’ reflection and refraction at a plane interface between air and BK7 glass. The effects of the incidence angle, topological charge, and polarization state on these dynamical quantities are simulated and discussed in detail. This study may provide useful insights into the interactions of vortex beams with matter and their further applications.

© 2020 Optical Society of America

Full Article  |  PDF Article
More Like This
Vector wave analysis of Airy beams upon reflection and refraction

Yuanfei Hui, Zhiwei Cui, Minhua Zhao, and Yiping Han
J. Opt. Soc. Am. A 37(9) 1480-1489 (2020)

Orbital angular momentum density characteristics of tightly focused polarized Laguerre–Gaussian beam

Yufeng Zhao, Yong Yao, Xiaochuan Xu, Ke Xu, Yanfu Yang, and Jiajun Tian
Appl. Opt. 59(24) 7396-7407 (2020)

Light scattering of Laguerre–Gaussian vortex beams by arbitrarily shaped chiral particles

Zhiwei Cui, Shenyan Guo, Ju Wang, Fuping Wu, and Yiping Han
J. Opt. Soc. Am. A 38(8) 1214-1223 (2021)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (67)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics