Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-...Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.展开更多
为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两...为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两种永磁丝杠结构能够实现平稳传动。由于结构中仍部分存在螺旋结构,故进行实用化改进。方案一是将直环离散的若干圆弧形磁极块阶梯式组合排列;方案二是采用半斜环磁极组合结构。结果表明,后者组合磁极块数更少,在保证运动系统平稳传动的同时,具有更大的推力和转矩。同双螺旋永磁丝杠相比,推力误差和转矩误差仅分别为3.981%和0.583%,故而为替代螺旋磁极的一种较为理想的方案。此外,提出了极距比K的概念,得出K=0.3时,单位磁极产生的电磁推力和转矩最大,磁极利用率最高。在此基础上,将半斜环磁极结构采用Halbach阵列优化,峰值推力和转矩可分别提升42.3%和36.3%,且存在最优辅配比λ=0.4。展开更多
基金Project supported by the BUPT Excellent Ph.D.Students Foundation(Grant No.CX2019201)the National Natural Science Foundation of China(Grant Nos.11772017 and 11805020)+1 种基金the Fund of State Key Laboratory of Information Photonics and Optical Communications(Beijing University of Posts and Telecommunications),China(Grant No.IPOC:2017ZZ05)the Fundamental Research Funds for the Central Universities of China(Grant No.2011BUPTYB02)。
文摘Optical fibers are seen in the optical sensing and optical fiber communication. Simultaneous propagation of optical pulses in an inhomogeneous optical fiber is described by a coupled time-dependent coefficient fourth-order nonlinear Schr?dinger system, which is discussed in this paper. For such a system, we work out the Lax pair, Darboux transformation, and corresponding vector semi-rational nonautonomous rogue wave solutions. When the group velocity dispersion(GVD) and fourth-order dispersion(FOD) coefficients are the constants, we exhibit the first-and second-order vector semirational rogue waves which are composed of the four-petalled rogue waves and eye-shaped breathers. Both the width of the rogue wave along the time axis and temporal separation between the adjacent peaks of the breather decrease with the GVD coefficient or FOD coefficient. With the GVD and FOD coefficients as the linear, cosine, and exponential functions, we respectively present the first-and second-order periodic vector semi-rational rogue waves, first-and second-order asymmetry vector semi-rational rogue waves, and interactions between the eye-shaped breathers and the composite rogue waves.
文摘为改善永磁丝杠复杂的螺旋形磁极加工制造难度,对螺旋磁极结构进行改进替代。应用有限元法(Finite Element Method,FEM)对推力和转矩静特性进行仿真,证明丝杠磁极为斜环、螺母磁极为螺旋结构和丝杠磁极为螺旋结构、螺母磁极为斜环的两种永磁丝杠结构能够实现平稳传动。由于结构中仍部分存在螺旋结构,故进行实用化改进。方案一是将直环离散的若干圆弧形磁极块阶梯式组合排列;方案二是采用半斜环磁极组合结构。结果表明,后者组合磁极块数更少,在保证运动系统平稳传动的同时,具有更大的推力和转矩。同双螺旋永磁丝杠相比,推力误差和转矩误差仅分别为3.981%和0.583%,故而为替代螺旋磁极的一种较为理想的方案。此外,提出了极距比K的概念,得出K=0.3时,单位磁极产生的电磁推力和转矩最大,磁极利用率最高。在此基础上,将半斜环磁极结构采用Halbach阵列优化,峰值推力和转矩可分别提升42.3%和36.3%,且存在最优辅配比λ=0.4。
