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

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.

Automated summary

This study investigates the local dynamical characteristics of Bessel beams reflected from an air-glass interface near the Brewster angle using analytical and numerical methods. Explicit expressions for the field components of the reflected Bessel beams are derived under paraxial approximation. Numerical simulations show that properties of energy, momentum, spin, and orbital angular momentum of Bessel beams near Brewster angle incidence are significantly influenced by their topological charge, half-cone angle, and polarization state.