Dynamics and manipulation of Airy beam in fractional system with diffraction modulation and PT-symmetric potential

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

“…In split region, the beam always spits regardless of x 0 (see figure 2(b)); in bright spot region for ¹ x 0, 0 the beam splits and a bright spot appears on one sub-branch (see the left of figure 2(c)); in periodic soliton-like region for =x evolves into periodic soliton-like after propagating a short distance (see the right of figure 2(c)). It is pointed out that here the 'bright spot' is defined when the ratio of maximum amplitudes of two sub-branches being greater than 1.5dB for ¹ x 0.As is well known, the initial launched angle and chirp affect the symmetry of the two splitting sub-branches in fraction system[17,20,21]. Here we emphasize the effects of the initial launched angle C and chirp b on the bright spot formation, as shown in figure3.…”

“…Zhang et al reported the novel characteristics of Gaussian beam, such as symmetric splitting in free space [17], zigzag propagation in harmonic potential [18] and conical diffraction in PT-symmetric potential [19]. Bai et al and Zang et al explored the adjustable splitting and collision of Airy beam [20] and Gaussian beam [21], respectively. The dynamics of other beams, such as super-Gaussian beam [22], Lommel Gaussian beam [23], Pearcey-Gaussian beam [24] in linear and nonlinear fractional systems have also been investigated.…”