Paraxial propagation of Pearcey Gaussian beams with the astigmatic phase in the chiral medium

Abstract

We introduce Pearcey Gaussian beams with the astigmatic phase (APPGBs) for what we believe is the first time and study their propagation in the chiral medium. APPGBs are split into the left and the right circularly polarized beams (LCP-APPGBs and RCP-APPGBs), of which we derive the analytical expression under the paraxial approximation. The results show that RCP-APPGBs have a longer autofocusing distance, which we can alter by adjusting the rotating factor or the chiral parameter. Besides, the increase of the rotating factor leads the autofocusing distances of both LCP-APPGBs and RCP-APPGBs to increase, while the increase of the chiral parameter leads to opposite effects on LCP-APPGBs and RCP-APPGBs. During propagation, the rotating factor can rotate the transverse intensity distribution, changing the rotation angular velocity. In addition, the rotating factor has a great impact on the phase distributions. Last, the effects of the rotating factor and the chiral parameter on the gradient force and the scattering force are analyzed.

Propagation properties of higher-order cosine-hyperbolic-Gaussian beams in a chiral medium

“…Recently, there has been extensive research on the propagation characteristics of various laser beams in chiral media. Among them, one can cite stochastic electromagnetic beams (Zhuang et al 2011), Airy beams (Zhuang et al 2012), Vortex Airy beam (Liu and Zhao 2014), Airy-Gaussian beams (Deng et al 2016), Airy-Gaussian-vortex beams (Hua et al 2017), first order chirped Airy-vortex beams (Xie et al 2018), Cosh-Airy vortex beams (Yang et al 2020), Bessel-Gaussian beams (Hui et al 2018), and Pearcey-Gaussian beams (Zeng and Deng 2020), cosine-hyperbolic-Gaussian (Hricha et al 2022) and Hermite-cosh-Gaussian beam (Yaalou et al 2023). However, to the best of our knowledge, there has been no report on the properties of a HOChGB when it passes through a chiral medium.…”

Paraxial propagation of Hermite cosine-hyperbolic-Gaussian beams in a chiral medium

“…The interference between the two waves may lead to a more complex intensity distribution, and this may provide more richness in the resulted beam pattern. During the last years, the propagation properties of various light beams in a chiral medium have been examined such as stochastic electromagnetic beams [42], Airy beams [43], Airy-Gaussian beams [44], Airy-Gauss-vortex beams [45], Chirped Airy beams [46], cosh-Airy beams [47], cosh-Airy vortex beams [48], Bessel-Gaussian beams [49], and Pearcey-Gaussian beams [50]. Recently, we have investigated the propagation properties of a ChGB passing through a chiral medium [51].…”