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摘要:
本文研究了余弦-超高斯(CSG)脉冲在光纤中的演化特性并对CSG脉冲在光纤中的传输过程进行了数值研究。得到了脉冲的初始相位φ0和脉冲阶数m对脉冲传输过程及其演化规律的影响。结果表明，增大φ0值到80 rad时的一阶余弦-超高斯脉冲可以在相对较长的光纤中实现脉冲压缩；而高阶余弦-超高斯脉冲在经历较短的脉冲压缩后，随即展宽。脉冲阶数越高，其脉冲压缩所经历光纤长度越短。本文还将余弦-超高斯脉冲、简单高斯脉冲和双曲正割脉冲进行对比，对比结果表明双曲正割脉冲展宽速度最快，简单高斯脉冲次之，而余弦-超高斯脉冲的展宽速度最慢。所提出的余弦-超高斯脉冲对光纤色散不敏感，该研究对于实际中要得到大容量，长距离通讯用的特殊脉冲的研究提供了一定的理论依据。
Abstract:The evolution of cosine-super Gaussian (CSG) pulses propagating in a conventional single mode fiber (SMF) has been proposed. The propagation properties of CSG pulses are numerically studied by using split-step Fourier method, and the effects of initial phase φ0 and order of the pulse m are analyzed. Results show that when φ0 is increased to 80 rad, the first order CSG pulse will be compressed in a relatively long fiber, and then broaden monotonically; the higher order CSG pulses will experience a short compression first, and then broaden monotonically. In addition, the CSG pulses are compared with simple Gaussian pulses and Hyperbolic secant pulses. The results indicate that the Hyperbolic secant pulse broaden fastest; the simple Gaussian pulse broaden secondly; CSG pulses broaden slowest, which is most insensitive to the dispersion of fiber. The research work will pave a way to realize a special pulse in large-capacity, and long-range communications.
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Key words:
- fiber /
- cosine-super Gaussian pulse /
- fiber dispersion /
- evolution /
- CSG
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Overview: The evolution of cosine-super Gaussian pulses propagating in a conventional single mode fiber (SMF) has been proposed. The propagation properties of cosine-super Gaussian pulses are numerically studied by using split-step Fourier method, and the effects of initial phase φ0 and order of the pulse m are analyzed because of their decisive roles in the process of pulse propagation. First, we discuss the effects of two parameters φ0 and m on the distributions of the cosine-super Gaussian pulse on the source plane. When the pulse order m is fixed, the optical pulse will be strengthened by the cosine function modulation with the increase of φ0. The sidelobes of the cosine function modulation are gradually appeared on the both sides of the pulse. When initial phase φ0 is fixed, the ability of the cosine-super Gaussian pulse to resist cosine modulation is strengthened, and the cosine modulated sidelobes will not appear. In the actual transmitting process, the pulse with high energy will experience the splitting of the pulse owing to the nonlinear effects in the fiber. The cosine modulated sidelobes of the cosine-super Gaussian pulse will be closer to the actual propagation characteristics of the pulse. After that, the effects of two parameters initial phase φ0 and order of the pulse m propagation process of the cosine-super Gaussian pulse are discussed, respectively. Here the pulse width broaden ratio is defined as that the ratio between the full width at half maximum of output pulse and the input pulse. By observing the pulse width broaden ratio curses, we can see that when φ0 is increased to 80 rad, the first order cosine-super Gaussian pulse will be compressed in a relatively long fiber, and then broaden monotonically; the higher order cosine-super Gaussian pulses will experience a short compression first, and then broaden monotonically. Especially, the third-order cosine-super Gaussian pulse is selected and we find that under the combined effects of the φ0 and m, the initial incident pulse no longer has the sidelobes. The third-order cosine-super Gaussian pulse turns to the multi-model structure from the single peak structure, and experiences the compression at the same time. In addition, the cosine-super Gaussian pulses are compared with simple Gaussian pulses and Hyperbolic secant pulses. The results indicate that the Hyperbolic secant pulses broaden fastest; the simple Gaussian pulses broaden secondly; cosine-super Gaussian pulses broaden slowest, which are most insensitive to the dispersion of fiber. The research work will pave a way to realize a special pulse in large-capacity, and long-range communications.
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图 1 不同φ0时入射脉冲的入射场分布。(a) m=1; (b) m=3
Figure 1. Incident pulses field distribution of different φ0. (a) m=1; (b) m=3
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