Higher-order twisted/astigmatic Gaussian Schell-model cross-spectral densities and their separability features

Twisted space-frequency and space-time partially coherent beams

“…Light that possesses transverse angular momentum is a relatively recent phenomenon and an exciting new area of beam control research. Considering the applications which use traditional, spatially twisted or vortex light 3 – 8 , 10 – 21 , we should expect that space-frequency or space-time twisted beams (including STOVs) will be used in optical tweezing, particle manipulation, optical communications, and astronomy in novel ways 24 , 26 , 60 . In addition, there has been recent work in coupling spin (concerns circular polarization) and orbital angular momenta resulting in novel light control, generation, and optical manipulation techniques 61 – 63 .…”

“…We will discuss , , , , and later on in the paper. We note that other twist kernels exist in the literature 10 , 15 , 18 , 19 , 21 and can be adapted in a similar manner as above to produce twisted space-frequency and space-time beams.…”

“…To generate twisted GSM beams, we choose p to be 10 , 14 , 15 , 18 , 19 , 21 Like H in Eq. ( 2 ), other p can be used, e.g., the multi-Gaussian p in Refs.…”

“…They differ from traditional vortex fields in that the twist, or rotation is statistical in nature and exists only in the context of stochastic beams, i.e., the twist disappears in the coherent limit. Like Allen et al’s seminal OAM work, Simon and Mukunda’s twisted partially coherent beams have generated significant interest in the intervening years 10 – 21 .…”

A New Type of Shape-Invariant Beams with Structured Coherence: Laguerre-Christoffel-Darboux Beams

“…Therefore, no twist can be present in a perfectly coherent source [26][27][28][29][30]. Research on partially coherent sources presenting a twist is still very active [31][32][33][34][35][36][37][38][39][40][41][42].…”