Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Modulation instability in the oppositely directed coupler with a quadratic nonlinearity

Not Accessible

Your library or personal account may give you access

Abstract

We investigate modulation instability (MI) in a nonlinear oppositely directed coupler with a quadratic nonlinearity, where one channel is made from a positive-index material (PIM) and another channel is fabricated from a negative-index material (NIM), trying to identify the different MI properties from those in a conventional parametric gap system with grating. Both the analytic continuous wave (CW) solutions and dispersion relation are obtained. By using standard linear instability we in detail discuss how the ratio of the backward to forward propagating wave’s power, the phase mismatch, and the coupled coefficient influence the dynamical behavior of MI. Large stable regions are found if the fundamental harmonics (FH) falls in the normal dispersion when compared to the case in the conventional Bragg grating with a quadratic nonlinearity where the CW solutions are unstable in most cases. In addition, we also observe the large stable regimes of the CW solutions even when the coupled strength for the second harmonics (SHs) is weaker than that of the FH. These findings suggest that the oppositely directed coupler with a NIM channel provides more ways to manipulate the MI and soliton.

© 2014 Optical Society of America

Full Article  |  PDF Article
More Like This
Modulation instability in an array of positive- and negative-index waveguides

Lingling Zhang, Yuanjiang Xiang, Xiaoyu Dai, and Shuangchun Wen
J. Opt. Soc. Am. B 31(12) 3029-3037 (2014)

Modulation instability in a nonlinear oppositely directed coupler with saturable nonlinearities and higher-order effects

Erivelton O. Alves, Wesley B. Cardoso, and Ardiley T. Avelar
J. Opt. Soc. Am. B 33(6) 1134-1142 (2016)

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)

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 Optica member, or as an authorized user of your institution.

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

Figures (6)

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

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

Equations (11)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved