Nonparaxial propagation of an Airy-Gaussian beam in uniaxial crystal orthogonal to the optical axis

The characteristics of Laguerre higher-order cosh-Gaussian beam propagating in uniaxial crystal orthogonal to the optical axis

“…These investigations have covered various beam types, including coherent and partially coherent beams. Examples of such beams include Hollow Gaussian beams (Deng et al, 2008), Dark Hollow beams (Liu and Zhou, 2008), Anomalous hollow beam (Liu and Zhou, 2009), Lorentz and Lorentz-Gauss beams (Zhao and Cai, 2010), Radially polarized partially coherent beams (Guo et al, 2010), higher-order cosh-Gaussian beams (Lia et al, 2010), Confluent Hypergeometric beam (Li and Chen, 2012), Laguerre Gaussian beams (Zhu et al, 2015;Su et al, 2020), four-petal Gaussian vortex beam (Liu et al, 2015b), Elliptical Gaussian Beam (Liu et al, 2015a;Ye et al, 2022), Airy-Hermite-Gaussian beams (Yu et al, 2017), Airy-Gaussian beam (Deng and Deng, 2016) radially polarized Airy beams (Xie et al, 2018), chirped Airy vortex beams (Zhang et al, 2018), Rectangular multi-Gaussian Schell-model vortex beam (Ma et al, 2020), Hollow vortex Gaussian beams (Li et al, 2019), Airyprime beam , hyperbolic sinusoidal Gaussian beams , Generalized Hermite cosh-Gaussian beam (Saad and Belafhal, 2023), finite-Wright and Mainardi beams (Bayraktar et al, 2023), and General Model vortex higher-order Cosh-Gaussian beam (Saad, 2024).…”

A detailed investigation of a Generalized Hermite cosh-Gaussian beam propagating in uniaxial crystals orthogonal to the optical axis

“…The solution of the theoretical model description for laser beam propagation in uniaxial crystal can be treated based on Maxwell's equations in anisotropic media was firstly investigated and developed by Ciattoni and coworkers (Ciattoni et al 2001a, b;Cincotti et al 2002;Ciattoni and Palma 2003). Based on the existing method theory, researchers have widely studied the paraxial propagation of various types of laser beams in uniaxial crystals (Liu and Zhou 2008;Deng et al 2008;Liu and Zhou 2009;Zhao and Cai 2010;Cincotti et al 2003;Guo et al 2010;Zhu et al 2015;Su et al 2020;Li and Chen 2012;Liu et al 2015a, b;Liu et al 2019;Deng and Deng 2016;Yu et al 2017;Li et al 2019: Ma et al 2020Bayraktar 2021;Lin et al 2023;Bayraktar et al 2023). For example, Dark Hollow beams (Liu and Zhou 2008), Hollow Gaussian beams (Deng et al 2008), Anomalous hollow beam (Liu and Zhou 2009), Lorentz and Lorentz-Gauss beams ( Zhao and Cai 2010), Radially and azimuthally vortices beam (Cincotti et al 2003), Radially polarized partially coherent beams (Guo et al 2010), Laguerre-Gaussian beams (Zhu et al 2015;Su et al 2020) Confluent Hypergeomtric beam (Li and Chen 2012), Elliptical Gaussian Beam (Liu et al 2015a), four-petal Gaussian vortex beam (Liu et al 2015b), four-petal Lorentz-Gauss beam (Liu et al 2019), Airy-Gaussian beam (Deng and Deng 2016), Airy-Hermite-Gaussian beams (Yu et al 2017), Hollow vortex Gaussian beams <...…”

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.…”