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耗散系统中高阶效应对艾里脉冲传输特性的影响

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基于高阶非线性薛定谔方程,研究了耗散系统中高阶效应对一种新型艾里脉冲传输特性的影响.结果表明:除了系统的三阶色散对艾里脉冲的传输有影响,其他高阶效应对艾里脉冲的传输也存在很大的影响.比如:自陡峭效应和自频移效应对艾里脉冲传输的影响与三阶色散类似,均会引起脉冲中心发生偏移,且系统参数的绝对值越大,偏移量增长越快.此外,非线性增益会使艾里脉冲的强度不断增大,因此,合理选择非线性增益和线性损耗参数,可以使两种效应对艾里脉冲的影响相互抵消.增益色散也会导致艾里脉冲的强度不断衰减,且增益色散越大,艾里脉冲的强度衰减得越快.综上所述,可以通过合理选择系统参数来调控艾里脉冲的传输动力学行为,从而实现耗散系统内艾里脉冲传输的管理.
Influence of Higher-order Effects on Airy Pulse Transmission Characteristics in the Dissipative Systems
Based on the high-order nonlinear Schrӧdinger equation,the influence of higher-order effects on the transmission charac-teristics of a new type Airy pulse in dissipative systems is studied.The results show that in addition to the third-order dispersion of the system,other higher-order effects also have great influence on the Airy pulse transmission.For example,the influence of self-steepening effect and the self-frequency shift on the Airy pulse transmission is similar to third-order dispersion,both of which cause the pulse center to shift,and the larger the absolute value of system parameters is,the faster the shift increases.In addition,the non-linear gain increases the intensity of Airy pulse,so the reasonable selection of the nonlinear gain and linear loss parameters can make their influence on Airy pulse offset each other.The gain dispersion causes the intensity of Airy pulse to decay continuously during the transmission process,and the greater the gain dispersion is,the faster the intensity of Airy pulse decays.To sum up,we can con-trol the transmission dynamics of Airy pulse by selecting reasonable system parameters,so as to realize the management of pulse transmission in the dissipative system.

dissipative systemAiry pulsedynamic characteristic

张壹、宋丽军

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山西大学 物理电子工程学院,山西 太原 030006

耗散系统 艾里脉冲 动力学特性

国家自然科学基金

61475198

2024

山西大学学报(自然科学版)
山西大学

山西大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.287
ISSN:0253-2395
年,卷(期):2024.47(3)
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