Diffraction-free beams in fractional Schrödinger equation

• Published in: Scientific reports Vol. 6; no. 1; p. 23645
• Main Authors: Zhang, Yiqi, Zhong, Hua, Belić, Milivoj R., Ahmed, Noor, Zhang, Yanpeng, Xiao, Min
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 21.04.2016; Nature Publishing Group
• Subjects: 639/624/1111; 639/766/400; 639/766/400/482; Diffraction; Humanities and Social Sciences; multidisciplinary; Propagation; Science; Splitting

We investigate the propagation of one-dimensional and two-dimensional (1D, 2D) Gaussian beams in the fractional Schrödinger equation (FSE) without a potential, analytically and numerically. Without chirp, a 1D Gaussian beam splits into two nondiffracting Gaussian beams during propagation, while a 2D...