激光与光电子学进展, 2019, 56 (2): 020602, 网络出版: 2019-08-01
单通道与多通道多极格子孤子及其动力学行为 
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Properties and Dynamical Behaviors of Single-Channel and Multi-Channel Multi-Polar Lattice Solitons
图 & 表
图 1. 典型的双通道偶极格子孤子。传播常数为(a) β=0.6和(b) β=2的双通道反相(I型)偶极格子孤子;传播常数为(c) β=0.6和(d) β=2的双通道同相(II型)偶极格子孤子。其中,虚线和实线分别代表光格子pR(x)和光场振幅w(x)的空间分布。其他参数为:p=1和Ω=2
Fig. 1. Typical dipolar lattice solitons in two channels. Out-of-phase dipolar solitons with propagation constants (a) β=0.6 and (b) β=2 in two channels (type I), in-phase dipolar solitons with propagation constants (c) β=0.6 and (d) β=2 in two channels (type II). Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=2
图 2. 传播常数为(a) β=0.5和(b) β=2的单通道反相(III型)偶极格子孤子。其中,虚线和实线分别代表光格子pR(x)和光场振幅w(x)的空间分布。其他参数为:p=1和Ω=1
Fig. 2. Typical out-of-phase dipolar lattice solitons with propagation constants (a) β=0.5 and (b) β=2 in single channel. Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=1
图 3. (a)偶极孤子的能流U和(b)受到扰动后的增长率Im λ与传播常数β的依赖关系。其他参数为:p=1;对I、II型偶极孤子Ω=2,对III型偶极孤子Ω=1
Fig. 3. Dependence of (a) energy flow U and (b) growth rate Im λ of dipolar lattice soliton on propagation constant β. Other parameters are p=1, Ω=2 for type I and II dipolar solitons or Ω=1 for type III dipolar solitons
图 4. 典型的三通道三极格子孤子。传播常数为(a) β=0.6和(b) β=2的三通道反相(I型)三极格子孤子;传播常数为(c) β=0.6和(d) β=2的三通道同相(II型)三极格子孤子。其中,虚线和实线分别代表光格子pR(x)和光场振幅w(x)的空间分布。其他参数为:p=1和Ω=2
Fig. 4. Typical tripolar lattice solitons in three channels. Out-of-phase tripolar solitons with propagation constants (a) β=0.6 and (b) β=2 in three channels (type I), in-phase tripolar solitons with propagation constants (c) β=0.6 and (d) β=2 in three channels (type II). Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=2
图 5. 传播常数为(a) β=0.8和(b) β=2的单通道反相(III型)三极格子孤子。其中,虚线和实线分别代表光格子pR(x)和光场振幅w(x)的空间分布。其他参数为:p=1和Ω=1
Fig. 5. Typical out-of-phase tripolar lattice solitons with propagation constants (a) β=0.8 and (b) β=2 in single channel. Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=1
图 6. 三极格子孤子的(a)能流U和(b)受到扰动后的增长率Im λ与传播常数β的依赖关系。其他参数为:p=1;对I、II型三极孤子Ω=2;对III型三极孤子Ω=1
Fig. 6. Dependence of (a) energy flow U and (b) growth rate Im λ of tripolar lattice soliton on propagation constant β. Other parameters are p=1 and Ω=2 for type I and II tripolar solitons and Ω=1 for type III tripolar solitons
图 7. 典型的双通道反相偶极格子孤子在(1)式和(3)式描述的系统中演化的图像。传播常数分别为(a) β=0.5,(b) β=1,(c) β=2和(d) β=3。其他参数为:p0=1,z0=20和Ω=2
Fig. 7. Typical evolvement diagrams of the two-channel out-of-phase dipolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2
图 8. 典型的三通道反相三极格子孤子在(1)式和(2)式描述的系统中的演化图像。传播常数分别为(a) β=0.5,(b) β=1,(c) β=2和(d) β=3。其他参数为:p0=1,z0=20和Ω=2
Fig. 8. Typical evolvement diagrams of the three-channel out-of-phase tripolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2
图 9. 典型的双通道同相偶极格子孤子在(1)式和(3)式描述的系统中的演化图像。传播常数分别为(a) β=0.5,(b) β=1,(c) β=2和(d) β=3。其他参数为:p0=1,z0=20和Ω=2
Fig. 9. Typical evolvement diagrams of the two-channel in-phase dipolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2
图 10. 典型的三通道同相三极格子孤子在(1)式和(3)式描述的系统中演化的图像。传播常数分别为(a) β=0.5,(b) β=1,(c) β=2和(d) β=3。其他参数为:p0=1,z0=20和Ω=2
Fig. 10. Typical evolvement diagrams of the three-channel in-phase tripolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2
图 11. 典型的单通道反相偶极格子孤子在(1)式和(3)式描述的系统中演化的图像。传播常数分别为(a) β=0.1,(b) β=0.5,(c) β=1和(d) β=2。其他参数为:p0=1,z0=20和Ω=1
Fig. 11. Typical evolvement diagrams of the single-channel out-of-phase dipolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.1, (b) β=0.5, (c) β=1 and (d) β=2. Other parameters are p0=1, z0=20 and Ω=1
图 12. 典型的单通道反相三极格子孤子在(1)式和(3)式描述的系统中演化的图像。传播常数分别为(a) β=0.05,(b) β=0.5,(c) β=1和(d) β=2。其他参数为:p0=1,z0=20和Ω=1
Fig. 12. Typical evolvement diagrams of the single-channel out-of-phase tripolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.05, (b) β=0.5, (c) β=1 and (d) β=2. Other parameters are p0=1, z0=20 and Ω=1
张华峰, 李继军, 陈方, 郁春潮, 孙利辉. 单通道与多通道多极格子孤子及其动力学行为[J]. 激光与光电子学进展, 2019, 56(2): 020602. Huafeng Zhang, Jijun Li, Fang Chen, Chunchao Yu, Lihui Sun. Properties and Dynamical Behaviors of Single-Channel and Multi-Channel Multi-Polar Lattice Solitons[J]. Laser & Optoelectronics Progress, 2019, 56(2): 020602.
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