Transmission and reflection of vector Bessel beams through an interface between dielectrics

Simple full vectorial analytical exact results are obtained for the propagation of Bessel beams through an interface separating different media characterized by material parameters (ϵ1,μ1) and (ϵ2,μ2). A real space description is used and all the results are written in terms of the transverse wavevector kt of the incident beam, taken as an input parameter. It is shown that perfect transmissions are obtained when the incident wave is either in a medium of larger or lower index of refraction, compared to the medium of the transmitted wave, and we provide the particular values, ktF, that the transverse wavevector must obey in order to observe such effects. The phenomenon of total internal reflection is also verified for normal incidence.