Propagation properties of Airy–Gaussian vortex beams through the gradient-index medium

Abstract

Propagation of Airy-Gaussian vortex (AiGV) beams through the gradient-index medium is investigated analytically and numerically with the transfer matrix method. Deriving the analytic expression of the AiGV beams based on the Huygens diffraction integral formula, we obtain the propagate path, intensity and phase distributions, and the Poynting vector of the first- and second-order AiGV beams, which propagate through the paraxial ABCD system. The ballistic trajectory is no longer conventional parabolic but trigonometric shapes in the gradient-index medium. Especially, the AiGV beams represent the singular behavior at the propagation path and the light intensity distribution. The phase distribution and the Poynting vector exhibit in reverse when the AiGV beams through the singularity. As the order increases, the main lobe of the AiGV beams is gradually overlapped by the vortex core. Further, the sidelobe weakens when the AiGV beams propagate nearly to the singularity. Additionally, the figure of the Poynting vector of the AiGV beams proves the direction of energy flow corresponding to the intensity distribution. The vortex of the second-order AiGV beams is larger, and the propagation velocity is faster than that of the first order.

Propagation of vortex Hermite-cosh-Gaussian beams in a gradient-index medium

“…Since then, the GIM has been the subject of extensive research in optics, and several works have been devoted to its practical applications, e.g., in imaging, optical communication, optical sensing and optical fibre manufacturing [3][4][5]. In the past few years, the propagation properties of various model beams through GIM have been investigated including those of cosine-Gaussian beams [6], Lorentz-Gaussian beams [7], Airy-Gaussian vortex beams [8], hollow sinh-Gaussian beams [9], chirped Airy beams [10], Gaussain vortex beams [11] and higher-order cosh-Gaussian beams [12].…”

Controllable transmission of chirped cosh-Gaussian beams in parabolic potential

“…Since self-Fourier transform can be associated with gradient-index (GRIN) media, the propagation of pulses in graded-index bers can be achieved by introducing external parabolic potential in optics. In 2016, the propagation of Airy-Gaussian vortex beams through the gradient-index medium was studied with the transfer matrix method [20].…”

Propagation properties of Airy Ince–Gaussian wave packets in gradient-index media

“…The GRIN lens has a small volume, large numerical aperture, short focal length, and the end face is a plane. GRIN fiber can be selffocused and can improve coupling efficiency, and the GRIN micro optical element is the main component of integrated optics and optical computers [17][18][19][20][21][22][23][24][25][26][27][28]. Alda et al analyzed the on-axis and off-axis propagation of Gaussian beams in GRIN media [20].…”

“…Alda et al analyzed the on-axis and off-axis propagation of Gaussian beams in GRIN media [20]. The propagation properties of Airy-Gaussian vortex beams through GRIN medium are reported [23]. By using the tensor method, the propagation of a vector cosine-Gaussian correlated beam through an active GRIN medium is studied [24].…”