中国物理B ›› 2019, Vol. 28 ›› Issue (7): 74206-074206.doi: 10.1088/1674-1056/28/7/074206

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Soliton guidance and nonlinear coupling for polarized vector spiraling elliptic Hermite-Gaussian beams in nonlocal nonlinear media

Chunzhi Sun(孙春志), Guo Liang(梁果)   

  1. School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu 476000, China
  • 收稿日期:2019-02-04 修回日期:2019-04-15 出版日期:2019-07-05 发布日期:2019-07-05
  • 通讯作者: Guo Liang E-mail:liangguo0916@163.com
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11604199) and the China Scholarship Council (Grant No. 201708410236).

Soliton guidance and nonlinear coupling for polarized vector spiraling elliptic Hermite-Gaussian beams in nonlocal nonlinear media

Chunzhi Sun(孙春志), Guo Liang(梁果)   

  1. School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu 476000, China
  • Received:2019-02-04 Revised:2019-04-15 Online:2019-07-05 Published:2019-07-05
  • Contact: Guo Liang E-mail:liangguo0916@163.com
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11604199) and the China Scholarship Council (Grant No. 201708410236).

摘要:

We investigate the incoherent beams with two orthogonal polarizations in nonlocal nonlinear media, one of which is a fundamental Gaussian beam and the other is spiraling elliptic Hermite-Gaussian beam carrying the orbital angular momentum (OAM). Using the variational approach, we obtain the critical power and the critical OAM required for the vector spiraling elliptic Hermite-Gaussian solitons. In the strong nonlocality region, two components of the vector beam contribute to the nonlinear refractive index in a linear manner by the sum of their respective power. The nonlinear refractive index exhibits a circularly symmetrical profile in despite of the elliptic shapes for spiraling Hermite-Gaussian beams. We find that in the strong nonlocality region, the critical power and the rotational velocity are the same regardless of the relative ratio of the constituent powers. The nonlinear refractive index loses its circular symmetry in weak nonlocality region, and the nonlinear coupling effect is observed. Due to the radiation of the OAM, the damping of the rotation is predicted, and can be suppressed by decreasing the proportion of the spiraling elliptic component of the vector beam.

关键词: vector solitons, Hermite-Gaussian beams, orbital angular momentum, variational approach

Abstract:

We investigate the incoherent beams with two orthogonal polarizations in nonlocal nonlinear media, one of which is a fundamental Gaussian beam and the other is spiraling elliptic Hermite-Gaussian beam carrying the orbital angular momentum (OAM). Using the variational approach, we obtain the critical power and the critical OAM required for the vector spiraling elliptic Hermite-Gaussian solitons. In the strong nonlocality region, two components of the vector beam contribute to the nonlinear refractive index in a linear manner by the sum of their respective power. The nonlinear refractive index exhibits a circularly symmetrical profile in despite of the elliptic shapes for spiraling Hermite-Gaussian beams. We find that in the strong nonlocality region, the critical power and the rotational velocity are the same regardless of the relative ratio of the constituent powers. The nonlinear refractive index loses its circular symmetry in weak nonlocality region, and the nonlinear coupling effect is observed. Due to the radiation of the OAM, the damping of the rotation is predicted, and can be suppressed by decreasing the proportion of the spiraling elliptic component of the vector beam.

Key words: vector solitons, Hermite-Gaussian beams, orbital angular momentum, variational approach

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)