Model transformation from a hollow Gaussian beam to an Airy Gaussian beam

Abstract

Model transformation from a hollow Gaussian beam (HGB) to an Airy Gaussian beam (AGB) was investigated based on the optical Airy transformation method. The HGB was transformed into a superposition of finite Airy beam via an optical Airy transformation system (OATS). Analytical expression of the AGB was deduced and used to demonstrate the produced AGB’s characteristics. Results showed that the intensity distribution and the number of side lobes of the AGB were determined by the control parameters α and β of the OATS, and the order n of the incident beam. In addition, a hollow Gaussian beam with a certain mode could be obtained by an incidence of an Airy Gaussian beam with a certain modulation parameter through the OATS. Results obtained here indicated that the model transformation between a Gaussian beam and an Airy beam could be realized by the optical Airy transformation method, which method would be valuable in generating of a novel kind of Airy beam and exploiting practical applications of the HGB.

Paraxial propagation characteristics of a controllable anomalous hollow vortex beam in free space

“…Yang et al have established a controllable model of anomalous hollow beams, and the initial intensity patterns (ground state Gaussian beams, hollow Gaussian beams, anomalous hollow beams, three-segment beam and so on) can be controlled by beam parameters, and their propagation and beam width evolution processes have been studied [21]. Recently, Zhang et al investigated the model transformation from hollow Gaussian beam to Airy Gaussian beam based on the optical Airy transform method [22].…”

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].…”