2021
DOI: 10.3390/nano11040858
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Spatially Multiplexing of Metasurface for Manipulating the Focused Trefoil and Cinquefoil Vector Light Field

Abstract: The trefoil and cinquefoil vector field are of essential significance for fundamental topology properties as the Hopf link and trefoil knots in the light field. The spatially multiplexing metasurfaces were designed with two sets of periodical nanoslits arranged alternately, each had independent geometric spiral phases and metalens phases to produce and focus vortex of the corresponding circular polarized (CP) light. By arranging the orientations of the two slit sets, the two CP vortices of the desired topologi… Show more

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Cited by 4 publications
(2 citation statements)
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“…The analytical integral along an ellipse path l in the above equation is unsolvable. For a simple understanding, we can make an analogy of the case to that of nanoslits arranged in a circular ring [20], in which, the integral along the circular path is the Bessel vortex beam of e i2σqβ J 2σq (k R) with the doughnut profile as Bessel function J 2σq •(k•R) of order 2σq; while for metasurfaces with nanoslits on multiple circular rings, the doughnut profile ψ (R) is related to the confluent hyper geometrical function 45,46], and the corresponding vortex beam is ψ (R)e i2σqβ . Although it is obvious that the integral along the ellipses in the above equation may have the different doughnut from the confluent hyper geometrical function…”
Section: Principles Of the Metasurface Design And Vector Beam Generat...mentioning
confidence: 99%
“…The analytical integral along an ellipse path l in the above equation is unsolvable. For a simple understanding, we can make an analogy of the case to that of nanoslits arranged in a circular ring [20], in which, the integral along the circular path is the Bessel vortex beam of e i2σqβ J 2σq (k R) with the doughnut profile as Bessel function J 2σq •(k•R) of order 2σq; while for metasurfaces with nanoslits on multiple circular rings, the doughnut profile ψ (R) is related to the confluent hyper geometrical function 45,46], and the corresponding vortex beam is ψ (R)e i2σqβ . Although it is obvious that the integral along the ellipses in the above equation may have the different doughnut from the confluent hyper geometrical function…”
Section: Principles Of the Metasurface Design And Vector Beam Generat...mentioning
confidence: 99%
“…To tackle these, several efforts have been explored via manipulating frequency, angular, polarization, orbital angular momentum (OAM), direction, or spatial multiplexing. [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] They are implemented using harmonic response, [33] chiral metaatoms, [34] phase-synthesis decoupling approach, [35][36][37][38] multilayer stacking, [39][40][41] interleaved compound element, [42][43][44] and digital meta-atoms, [45] surface impedance using tensor units, [46] superimposed scattered waves, [47,48] or a single-cell design approach. [49] These attempts have significantly expanded the channel capacity of functions; nevertheless, they are mostly confined to phase-only manipulations, and little work is reported combining AP control with the merits of multiplexing schemes.…”
Section: Introductionmentioning
confidence: 99%