Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation

• Published in: Physical review letters Vol. 115; no. 18; p. 180403
• Main Authors: Zhang, Yiqi, Liu, Xing, Belić, Milivoj R, Zhong, Weiping, Zhang, Yanpeng, Xiao, Min
• Format: Journal Article
• Language: English
• Published: United States 30.10.2015

The dynamics of wave packets in the fractional Schrödinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator. We investigate analytically and numerically the propagation of optical beams in the fractional...