首页|Nonlinear conical diffraction in fractional dimensions with a PT-symmetric optical lattice
Nonlinear conical diffraction in fractional dimensions with a PT-symmetric optical lattice
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NSTL
Elsevier
Space-fractional parity-time symmetry, featuring the fractional Laplacian operator rather than the standard op-erator, continues to be a challenge. This report analytically and numerically assesses the dynamics of wave packets in a space-fractional parity-time symmetric lattice by invoking Kerr nonlinearity. By adjusting the Levy index, the basic properties of Floquet-Bloch modes in parity-time symmetric optical lattices are examined. It is demonstrated that the width of the first three Floquet-Bloch modes increases as the Levy index decreases and that the corresponding band structure becomes symmetrically linear. These features result in peculiar properties during propagation, including splitting or diffraction-free propagation, preferential propagation, unidirectional propagation, and phase dislocations. In the two-dimensional fractional case, when the band structure is cone-like, it causes conical diffraction, and non-diffracting propagation occurs when the Floquet-Bloch mode of the upper band is excited by the input beam. Kerr nonlinearity modulates the energy in a certain nonlinear region toward the middle and suppresses the formation of conical diffraction.(c) 2022 Elsevier Ltd. All rights reserved.
NSTL
Elsevier
