Periodic evolution of the Pearcey–Gaussian beam in the fractional Schrödinger equation under Gaussian potential. (5th May 2022)

• Record Type: Journal Article
• Authors: Gao, Ru; Guo, Teng; Ren, Shumin; Wang, Pengxiang; Xiao, Yan
• Is Part Of: Journal of physics. Volume 55:Number 9(2022)
• Publication Date: 2022-05-05
• Subjects: Pearcey–Gaussian beam -- Fractional Schrödinger equation -- Gaussian potential; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/1361-6455/ac6554
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: The dynamics of a Pearcey–Gaussian (PG) beam with Gaussian potential in the fractional Schrödinger equation (FSE) are investigated. In free space, varying the Lévy index offers a convenient way to control the splitting and bending angle of the beam. In the presence of Gaussian potential, with increasing propagation distance, the process is repeated in a breath-like motion. The periodicity also can be changed by adjusting the potential parameter and incident beam arguments, such as potential height, potential width and transverse wavenumber. The transmission and reflection of the beam can also be controlled by varying the potential parameters. Moreover, when a symmetrical Gaussian potential barrier is selected, total reflection is more likely to occur. These unique characteristics demonstrate the possibility of controlling the dynamics of PG beams with the FSE system.