Abstract
We introduce a kind of the spiraling elliptic Hermite-Gaussian solitons in nonlocal nonlinear media without anisotropy, which carries the orbital angular momentum and can rotate in the transverse. The n–th mode of the spiraling elliptic Hermite-Gaussian solitons has n holes nested in the elliptic profile. The analytical spiraling elliptic Hermite-Gaussian solitons solutions are obtained based on the variational approach, which agree well with the numerical simulations. It is found that the critical power and the critical angular velocity for the spiraling elliptic Hermite-Gaussian solitons are the same as the counterpart of the ground mode.
Highlights
The nonlinear propagation of optical beams with orbital angular momentum (OAM) has been discussed in recent years
We discuss a kind of spiraling elliptic Hermite-Gaussian solitons in nonlocal nonlinear media, the n–th mode of which has n holes nested in the elliptic profile
By using the variational approach, we obtained the approximate analytical solutions, which agree with the numerical simulations well
Summary
Based on the variational approach[23], Eq (2) can be expressed as an Euler-Lagrange equation corresponding to the variational principle. Substitution of the critical power (13) and the critical OAM (14) into the expression of the angular velocity (11) yields ωc b2 + c2 2b2c 2. For high-order mode of the spiraling elliptic Hermite-Gaussian beams, the critical power and the critical. It is found that the critical power and the critical angular velocity are the same as the counterpart of the ground mode, i.e. Eqs (13) and (15) respectively. While, it is different for the other critical parameters, for example, when wm = 20, b = 1.2, c = 0.8, we obtain σc = 2.76925 and Θc = 0.434028 for the second-order mode of the spiraling elliptic Hermite-Gaussian solitons
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
