Parametric patterns in optical fiber ring nonlinear resonators

Abstract

We propose that parametrically excited patterns, also known as Faraday patterns, can be observed in nonlinear fiber resonators, where the coefficient of Kerr nonlinearity is periodically varying along the fiber in resonator. We study the parametric instability analytically on the basis of the Floquet theory, also numerically, by direct integration of the system. Instead of classical Faraday wave excitation scenario, where modulation in time causes formation of patterns in space, here we propose an inverted scenario, where the modulation in space excites the patterns in time.

12 pages, 5 figures, to be appeared in Phys. Rev. A

Cited by in corpus (9)

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• Pattern generation by dissipative parametric instability
• Modulational instability in dispersion oscillating fiber ring cavities
• Geometric parametric instability in periodically modulated GRIN multimode fibers
• Theory of filter-induced modulation instability in driven passive optical resonators
• Self-induced Faraday instability laser
• Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
• Efficient mode conversion in guiding structures with longitudinal modulation of nonlinearity