Abstract

We discuss analytical localized soliton solutions to the generalized nonautonomous nonlinear Schrödinger equation (NLSE) in waveguides featuring transverse modulation of both the linear and nonlinear refractive index changes. We utilize the similarity transformation technique to obtain these solutions. It turns out that the generalized nonautonomous NLSE with space-dependent coefficients can be reduced to the stationary NLSE, provided certain constraints are placed on the linear and nonlinear refractive indices. Various shapes of exact vortex soliton solutions are studied theoretically and analytically. Finally, the stability analysis of the solutions is discussed numerically. Our findings address an alternative way for the realization of stable vortex solitons with higher topological charges and the radial quantum numbers.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Multipeaked fundamental and vortex solitons in azimuthally modulated Bessel lattices

Jiangbo Zheng and Liangwei Dong
J. Opt. Soc. Am. B 28(4) 780-786 (2011)

Linear and nonlinear waveguides induced by optical vortex solitons

Andreas H. Carlsson, Johan N. Malmberg, Dan Anderson, Mietek Lisak, Eledna A. Ostrovskaya, Tristram J. Alexander, and Yuri S. Kivshar
Opt. Lett. 25(9) 660-662 (2000)

Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index

Yaroslav V. Kartashov, Victor A. Vysloukh, and Lluis Torner
Opt. Lett. 33(19) 2173-2175 (2008)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (8)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription