Abstract

The dispersion relation and modulation instability (MI) of an array of alternating positive-index material (PIM) and negative-index material (NIM) waveguides are investigated. It is found that the transverse wave vector of the stability wave solution has modulation on the linear part of the dispersion relation, which leads to the dispersion relation being linear in the staggered case. The MI region for the staggered case is larger than the unstaggered case, which is the same as that of a conventional waveguide array. Whether in the staggered case or the unstaggered case, the self-focusing or self-defocusing nonlinear property of PIM and NIM channels affects the gain value of the array, and the gain structure of the array for the unstaggered case has an important dependence on the nonlinear property of PIM and NIM channels, but is not affected by the nonlinear property of the channels for the staggered case. It is also found that in addition to the nonlinear property of the channels, the interaction of the nonlinear effects of the channels also has great influence on the generation of the MI. These findings indicate that we can manipulate MI in an array of positive- and negative-index waveguides with the controllability of a NIM channel.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Modulation instability in the oppositely directed coupler with a quadratic nonlinearity

Jinggui Zhang, Xiaoyu Dai, Lifu Zhang, Yuanjiang Xiang, and Yongfan Li
J. Opt. Soc. Am. B 32(1) 1-8 (2015)

Modulation instability in nonlinear positive–negative index couplers with saturable nonlinearity

Patrick Herbert Tatsing, Alidou Mohamadou, Celsus Bouri, Camus Gaston Latchio Tiofack, and Timoleon Crepin Kofane
J. Opt. Soc. Am. B 29(12) 3218-3225 (2012)

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 (10)

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 (29)

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