Abstract

In this Letter, we present, for the first time, to the best of our knowledge, the modulation instability (MI) gain spectrum of waveguides with an arbitrary frequency-dependent nonlinear coefficient ensuring strict energy and photon-number conservation of the parametric process. This is achieved by starting from a linear stability analysis of the recently introduced photon-conserving nonlinear Schrödinger equation. The derived MI gain is shown to predict some unique features, such as a nonzero gain extending beyond a zero-nonlinearity wavelength and a complex structure of the MI gain spectrum. Analytical results are shown to be in excellent agreement with numerical simulations.

© 2020 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Narrowband and ultra-wideband modulation instability in nonlinear metamaterial waveguides

N. Linale, P. I. Fierens, S. M. Hernandez, J. Bonetti, and D. F. Grosz
J. Opt. Soc. Am. B 37(11) 3194-3199 (2020)

Modulation instability in waveguides doped with anisotropic nanoparticles

A. D. Sánchez, N. Linale, J. Bonetti, and D. F. Grosz
Opt. Lett. 45(11) 3119-3122 (2020)

Modified nonlinear Schrödinger equation for frequency-dependent nonlinear profiles of arbitrary sign

J. Bonetti, N. Linale, A. D. Sánchez, S. M. Hernandez, P. I. Fierens, and D. F. Grosz
J. Opt. Soc. Am. B 36(11) 3139-3144 (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 (5)

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 (10)

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