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 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.
