Generation and characteristics of an Airy vortex beam from the anomalous vortex beam

Properties of the Airy beam by means of the quantum potential approach

“…Therefore, from equations ( 24), ( 28), ( 29) and (32) we conclude that the integral curves of the Poynting vector (32), in general, conform to a subset of solutions to the Hamilton equations (28) and (29). And thus, equation (21) or equivalently equation (25) implies that the flux of the Poynting vector, determined by the paraxial scalar wave, through a closed curve in the xz-plane is zero. Therefore, if the solution Ψ(x, z) is given, then its corresponding quantum potential and quantum force are computed by using the equations (23), and (31) respectively.…”

“…In particular, he showed that each accelerating beam is determined by a complex function defined in a real line [7]. It is important to remark that, the accelerating beams are of current interest theoretically and experimentally due to their several applications [8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Zhong et al [22] showed that a class of 3D spatiotemporal parabolic-cylinder and Airy localized wave packets exists and can self-accelerate in the absence of any external potential.…”

“…With those identifications equation (21) establishes the analog of the conservation of probability; that is,…”

Propagation of quasi-diffraction-free lommel-airy vortex wavepackets in chiral media

“…Since Durnin's pioneering research [1], non-diffracting beams have garnered considerable interest. Various non-diffracting beams, such as Besssel beams [2,3], Airy beams [4][5][6], and Pearcey beams [7,8] have been proposed and constructed. The morphology of these beams is solely determined by the order, thus they belong to non-diffracting beam with a single parameter.…”

Generation and characteristics of an anomalous Airy vortex beam from a Lommel vortex beam

“…Light fields with special phase structure and polarization state, i.e., spatial structure light fields, have become a research hotspot of optical technology [1][2][3][4]. Light beams with special phase structure and polarization state can be obtained by regulating the phase and polarization, such as Bessel beams, Airy beams and vortex beams [5][6][7][8][9]. These approximate non-diffraction beams could maintain the transverse intensity distribution within a fair distance in free space and have self-healing property [10][11][12].…”