Transversal optical vortex

Linear and angular momenta in tightly focused vortex segmented beams of light (Invited Paper)

“…For example, regions of negative energy flow or regions where p is antiparallel with respect to the global propagation direction of the light field occur in the waist of tightly focused beams [16,17] , in edge-diffracted fields [18] , and in the case of total internal reflection [19][20][21] . Typically, these negative energy flows are linked to the occurrence of transverse vortices [17][18][19][20][21][22] . Additionally, a negative longitudinal component of p s , which is linked to the occurrence of transverse components of s, has been demonstrated in various optical systems consisting of propagating [12,14] or evanescent waves [5] .…”

“…Similar to a spin segmented beam [26,27] , focusing of such vortex segmented beams (VSBs) yields transverse AM, which depends on the charge of the input vortices [28] . The transverse AM manifests itself in the occurrence of vortices oriented perpendicular to the propagation direction [17][18][19][20][21][22]29,30] . Furthermore, it causes a relative shift of the centroids of the energy density and the LM density, which can be tuned by the vortex charge [28] .…”

“…We see a typical phase vortex with charge one in the center of the ringlike distribution of w x E [marked by a small black frame in Fig. 2(d)], however, this phase vortex occurs in a meridional plane and is therefore oriented transverse with respect to the global propagation direction [17][18][19][20][21][22]29,30,32] . In order to examine this transverse vortex from a dynamical perspective, we illustrate the orbital LM p oE in the vicinity of the vortex in Fig.…”

Electric dipole radiation near a mirror

“…(12). At the surface of the mirror, E(r) is perpendicular to the surface and B(r) is in the xy plane.…”

“…The existence of optical vortices resulting from interference between radiation and its reflection at a surface was predicted for the first time by Braunbek and Laukien for the reflection of a plane wave by the Sommerfeld half-plane [9]. The most common optical vortices are vortices in Laguerre-Gaussian laser beams [10][11][12][13], and their structure is related to the angular momentum carried by the beam. Another type of optical vortex is the rotation in the field lines of the Poynting vector of a multipole field [14,15].…”