Nonparaxial propagation of the Chirped Airy vortex beams in uniaxial crystal orthogonasl to the optical axis

Abstract

We study both analytically and numerically nonparaxial propagation dynamics of the Chirped Airy vortex (CAiV) beams in uniaxial crystal orthogonal to the optical axis. The propagation trajectory, the intensity, the radiation forces, the Poynting vector and the angular momentum (AM) of the CAiV beams are illustrated by numerical examples. The influences of the ratio of the extraordinary refractive index to the ordinary refractive index, the linear chirp factor and the quadratic chirp factor on the nonparaxial evolution of the CAiV beams are examined in detail. Results show that the linear chirp factor provides an intensity concentration, which is totally different with the influence of the quadratic chirp. Besides, the uniaxial crystals with different refractive index ratios can be used to control the intensity of optical lobes. Moreover, the value and the direction of the radiation forces depend on the propagation distance and the chirp factor. The chirp factor acting on the Poynting vector and the AM mainly occurs in the direction of vectors. The nonparaxial propagation characteristics of the CAiV beams provide a convenient method to the intensity modulation and the optical manipulation of micro particles.

Tuning of non-paraxial effects of the Laguerre-Gaussian beam interacting with the two-component Bose–Einstein condensates

“…Therefore, it is possible to enhance side-band transition significantly over primary transitions even with a comparatively low focused LG beam, if we choose the inter-component coupling strength properly. This phenomenon has a large impact on any experiments where non-paraxial vortex beam is or can be used [63]. It is obvious in the figure that at g = 0 (when the components of BEC are independent of each other), strong focusing is the only possibility to increase the non-paraxial effects of the LG beam.…”

Propagation of chirped sinh-Gaussian beams in uniaxial crystals orthogonal to the optical axis

“…Chirped parameter of chirped Airy vortex beam controls the intensity and phase information during propagation [8]. In another nonparaxial study, authors state that chirped parameter of chirped Airy vortex beam has an effect on angular momentum at the receiver side [9]. As compared to linear and quadratic chirped parameter, Gaussian factor of chirped Airy Gaussian vortex beam effects intensity more [10].…”

Dynamics of chirped finite Olver Gaussian beam propagating paraxial to uniaxial crystal

“…Ciattoni and Palma perform for the first time the propagation of wave evoluting in the uniaxial crystal orthogonal to the optical axial by solving the boundary value of the ordinary and extraordinary beams, respectively, which avoids the sophisticated mathematical computation in dealing with Maxwell's equations [20]. So far, the propagation of the FAiB in the anisotropic uniaxial crystal under the paraxial approximation and beyond have been studied by Deng et al [21,22], the non-paraxial propagation of the chirped Airy vortex beam, Airy-Gaussian vortex beam and the radially polarized Airy-Gaussian beams with different initial launch angles in uniaxial crystals were also explored by her research group [23][24][25]. What is more, the transformation characteristics of the FOGB through a uniaxial crystal was examined by Hennani et al [26], however, the input beam distribution presented in reference [26] appears to be Gaussian profile and cannot be used to delineate the FOGB properties entirely, therefore, they merely finished the propagation of the FOB, without Gaussian term, cutting through the uniaxial crystal orthogonal to the optical axial.…”