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 ArticleMore Like This
N. Linale, P. I. Fierens, S. M. Hernandez, J. Bonetti, and D. F. Grosz
J. Opt. Soc. Am. B 37(11) 3194-3199 (2020)
A. D. Sánchez, N. Linale, J. Bonetti, and D. F. Grosz
Opt. Lett. 45(11) 3119-3122 (2020)
N. Linale, P. I. Fierens, J. Bonetti, A. D. Sánchez, S. M. Hernandez, and D. F. Grosz
Opt. Lett. 45(16) 4535-4538 (2020)