Probability density of orbital angular momentum mode of autofocusing Airy beam carrying power-exponent-phase vortex through weak anisotropic atmosphere turbulence

Abstract

The probability densities of orbital angular momentum (OAM) modes of the autofocusing Airy beam (AAB) carrying power-exponent-phase vortex (PEPV) after passing through the weak anisotropic non-Kolmogorov turbulent atmosphere are theoretically formulated. It is found that the AAB carrying PEPV is the result of the weighted superposition of multiple OAM modes at differing positions within the beam cross-section, and the mutual crosstalk among different OAM modes will compensate the distortion of each OAM mode and be helpful for boosting the anti-jamming performance of the communication link. Based on numerical calculations, the role of the wavelength, waist width, topological charge and power order of PEPV in the probability density distribution variations of OAM modes of the AAB carrying PEPV is explored. Analysis shows that a relatively small beam waist and longer wavelength are good for separating the detection regions between signal OAM mode and crosstalk OAM modes. The probability density distribution of the signal OAM mode does not change obviously with the topological charge variation; but it will be greatly enhanced with the increase of power order. Furthermore, it is found that the detection region center position of crosstalk OAM mode is an emergent property resulting from power order and topological charge. Therefore, the power order can be introduced as an extra steering parameter to modulate the probability density distributions of OAM modes. These results provide guidelines for the design of an optimal detector, which has potential application in optical vortex communication systems.

Circular Lorentz–Gauss beams with the power-exponent-phase vortex

“…It has been confirmed that the vortex is diverse, with the well-known variant being the power-exponent-phase vortex [30]. The propagation characteristics of Gaussian beams, autofocusing Airy beams and hollow Gaussian beams with the power-exponent-phase vortex have been demonstrated [31][32][33]. Tightly focused radially polarized beams with power-exponent-phase vortex have been shown to capture two types of particles [34].…”

Influence of oceanic turbulence on propagation of autofocusing Airy beam with power exponential phase vortex

“…And Yan et. al. analyzed the probability density of OAM mode of AAB-PEPV through weak anisotropic atmosphere turbulence [19]. HowIt is already demonstrated that the non-diffraction and self-healing OAM-carried beams have a better resistance to the distortion caused by turbulence, such as OAM-carried Bessel beam [9], OAM-carried Airy beam [10].…”

“…al. analyzed the probability density of OAM mode of AAB-PEPV through weak anisotropic atmosphere turbulence [19]. However, to the best of our knowledge, the AAB-PEPV beam has not been investigated in anisotropic ocean turbulence.…”

Steady information transfer through free-space employing orthogonal aberration mode division multiplexing

“…Therefore a significant amount of efforts in recent times have been aimed at mitigating the effect of air turbulence in the OAM based FSO systems. Some such efforts are use of modal diversity of different optical modes towards turbulence [4], use of auto focusing Airy beams [26,27], use of convolutional neural network for adaptive demodulation of the signal at the receiving station [13], use of adaptive optics system to compensate for distorted OAM beams [28] and exploring the shape invariance property of OAM Bessel beams [15]. Unfortunately most of the * Electronic address: brboruah@iitg.ac.in turbulence compensation schemes lead to an increase in the processing time at the receiving station [14] thereby imposing an upper limit on real time decoding.…”