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 or...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.展开更多
We discuss evolution of Hermite–Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance,using the variational approach.It is pr...We discuss evolution of Hermite–Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance,using the variational approach.It is proved that as long as the characteristic length varies slowly enough,all the Hermite–Gaussian beams can propagate adiabatically.When the characteristic length gradually comes back to its initial value after changes,all the Hermite–Gaussian beams can adiabatically restore to their own original states.The variational results agree well with the numerical simulations.Arbitrary shaped beams synthesized by Hermite–Gaussian modes can realize adiabatic evolution in nonlocal nonlinear media with gradual characteristic length.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11604199)the China Scholarship Council(Grant No.201708410236)
文摘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.
基金Project supported by the Key Research Fund of Higher Education of Henan Province,China(Grant No.23A140021)the Open Subject of the Key Laboratory of Weak Light Nonlinear Photonics of Nankai University(Grant No.OS213)the International Scientific and Technological Cooperation Projects of Henan Province,China(Grant No.232102520001)。
文摘We discuss evolution of Hermite–Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance,using the variational approach.It is proved that as long as the characteristic length varies slowly enough,all the Hermite–Gaussian beams can propagate adiabatically.When the characteristic length gradually comes back to its initial value after changes,all the Hermite–Gaussian beams can adiabatically restore to their own original states.The variational results agree well with the numerical simulations.Arbitrary shaped beams synthesized by Hermite–Gaussian modes can realize adiabatic evolution in nonlocal nonlinear media with gradual characteristic length.
