PT对称介质中Airy光束的演化特性研究

Study on the evolution of Airy beam in PT symmetric medium

  • 摘要: 利用分步傅里叶方法,研究了PT对称介质中Airy光束的演化特性,并从截断系数、调制深度、调制宽度三个参数,研究了其对Airy光束所脱落出的孤子的传输特性的影响。研究结果发现:Airy光束在PT对称介质中传输时,在主峰位置处脱落出一个周期性变化的孤子并且孤子波形会产生一个横向位置的偏移;另外发现,截断系数a越小、调制深度P和调制因子w越大,Airy光束脱落出的孤子的峰均比越大,产生的光束干扰和光束畸变越大,阻碍光纤通信;调制深度P越小、调制因子w越大,Airy光束脱落出的孤子的峰值和峰均比出现了明显的跳跃,传输的稳定性减小,但是脱落出的孤子依然能够稳定地长距离传输。

     

    Abstract: The evolution characteristics of an Airy beam in PT symmetric medium by using split-step Fourier method was investigated. Then the impact of truncation width, modulation depth, and modulation width on the propagation properties of soliton generated from an Airy beam was discussed in detail. The results illustrate that when an Airy beam propagates in a PT symmetric medium, a soliton with periodic variation is shedded at the main peak position and a lateral offset is generated. Moreover, it is demonstrated that with decreasing truncation width a, increasing modulation depth P and modulation factor w, the peak-to-average power ratio of a soliton from Airy beam increases, which causes the beam interference and beam distortion become more and more. With decrement of modulation depth P and increment of modulation factor w, the peak intensity and peak-to-average power ratio of a soliton from an Airy beam jump obviously, leading to decreasing propagation stability of a soliton. However, the shedding soliton can still propagates stably in a long distance.

     

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