Calculation of vortex electromagnetic waves propagating through a plane interface based on superposition of Huygens element fields

Abstract

The paper presents a semi-analytical approach to the calculation of the transmission and reflection coefficients of vector electromagnetic fields with orbital angular momentum propagating through a planar interface between two media. The model of the vector representation of the Huygens element was used to construct the vector vortex field. The Laguerre–Gauss and Bessel fields were calculated as vortex phase-distributed fields. It was shown that the transmission and reflection coefficients are the same for fields with different values of the orbital angular momentum for different gradients of the two media.