Abstract

We study the effects of increasing modulation instability and disorder on the onset times of rogue waves in waveguide arrays as described by the discrete unstable nonlinear Schrödinger equation (UNLSE). We analytically determine regions of instability, where rogue waves are likely to occur in the UNLSE, and then use numerical techniques to study the time evolution of these systems. Only for small modulation instability is the effect of fluctuations prominent on the onset times; otherwise, we find that large modulation instability dominates the onset time behavior.

© 2020 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical Peregrine rogue waves of self-induced transparency in a resonant erbium-doped fiber

Shihua Chen, Yanlin Ye, Fabio Baronio, Yi Liu, Xian-Ming Cai, and Philippe Grelu
Opt. Express 25(24) 29687-29698 (2017)

Complementary optical rogue waves in parametric three-wave mixing

Shihua Chen, Xian-Ming Cai, Philippe Grelu, J. M. Soto-Crespo, Stefan Wabnitz, and Fabio Baronio
Opt. Express 24(6) 5886-5895 (2016)

Super chirped rogue waves in optical fibers

Shihua Chen, Yi Zhou, Lili Bu, Fabio Baronio, Jose M. Soto-Crespo, and Dumitru Mihalache
Opt. Express 27(8) 11370-11384 (2019)

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 (4)

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 (7)

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