Discrete solitons in azimuthally modulated Bessel lattices: An introduction to solitons in quasi-periodic structure

Abstract

The investigation of discrete solitons in quasi-periodic structure, namely azimuthally modulated Bessel lattices imprinted in photorefractive crystal, is introduced. It is shown that the discrete solitons centralize more energy in the internal layers than the Bessel lattice and moreover, the effect of centralization of discrete solitons in focusing media is stronger than that in defocusing media. The discrete solitons are unstable in some propagation constant windows and they are absolutely stable when the propagation constant is large enough. The stable solitons perform long-distance and periodic oscillation of intensity and shape under the perturbation of intrinsic excitation.