Effective Control of Three Soliton Interactions for the High-Order Nonlinear Schrödinger Equation

Abstract

This letter uses the higher-order nonlinear Schrödinger equation as a mathematical model and uses the bilinear method to analytically study the evolution characteristics of femtosecond solitons in optical fibers under the higher-order nonlinear effects and higher-order dispersion effects. The results show that the effects have a significant impact on the amplitude and interaction characteristics of optical solitons. The larger the higher-order nonlinear coefficient, the more intense the interaction between optical solitons, and the more unstable the transmission. At the same time, we discuss the influence of other free parameters on third-order soliton interactions. Effectively regulate the interaction of three optical solitons by controlling relevant parameters. These studies will lay a theoretical foundation for the experiments and further practicality of optical soliton communications.

Three-Wave Mixing of Dipole Solitons in One-Dimensional Quasi-Phase-Matched Nonlinear Crystals

“…[24][25][26][27][28][29] Notably, 𝜒 (2) nonlinear optical crystals are a functional material, in which the frequency doubling (or "frequency") crystals can be used for frequency conversion of the laser wavelength, thus expanding the tunable range of lasers, which offers an important application value in the field of laser technology. [30][31][32] A soliton is a typical phenomenon in a nonlinear system, and it has attracted the interest of researchers from areas of quantum physics, [33,34] cold atoms, [35][36][37] condense matter, [38][39][40][41] optics, [42,43] etc. Here, we focus on optical soliton transport in nonlinear optical field modula-tion; 𝜒 (2) nonlinear optical crystals show strong, and fast nonlinear optical responses are proved to be favorable platforms for studying soliton transport.…”

Three-Soliton Interactions and the Implementation of Their All-Optical Switching Function

“…On the other hand, in optical communication systems, in order to improve the bit rate, each optical soliton is input into the fiber at smaller intervals. [18][19][20][21] However, this can cause interactions between adjacent optical soli-tons, which can cause distortion of some optical solitons, leading to a decrease in the bandwidth of the optical communication system and weakening its communication capability. [22][23][24][25] In order to improve the communication capability of the system, it is necessary to study the interaction between optical solitons in the system.…”

Higher-Order Nonlinear Effects on Optical Soliton Propagation and Their Interactions

“…At this time, the impact of higher-order nonlinear effects on the pulse transmission becomes assignable. [8][9][10][11][12][13][14] Therefore, nonlinear optics has gradually become an important sub-discipline in optical research, and study of higher-order nonlinear effects on pulse transmission, mode-locked lasers and other applications is of great scientific significance. [15][16][17][18][19][20][21][22][23] On the other hand, optical solitons, known as localized electromagnetic waves, have the ability to propagate steadily through nonlinear materials with dispersion effects.…”