Modulational instability in dispersion oscillating fiber ring cavities

TL;DR

This paper demonstrates that dispersion oscillating fibers in passive cavities extend modulational instability to new high-frequency bands, enabling stable pulse trains, with theoretical and numerical analysis providing explicit gain expressions.

Contribution

It introduces the use of dispersion oscillating fibers in passive cavities to extend and analyze modulational instability with explicit gain formulas.

Findings

Extended modulational instability to high-frequency bands.

Stable pulse trains can be excited in the cavity.

Explicit Floquet-based gain expressions derived.

Abstract

We show that the use of a dispersion oscillating fiber in passive cavities significantly extend modulational instability to novel high-frequency bands, which also destabilize the branches of the steady response which are stable with homogeneous dispersion. By means of Floquet theory, we obtain exact explicit expression for the sideband gain, and a simple analytical estimate for the frequencies of maximum gain. Numerical simulations show that stable stationary trains of pulses can be excited in the cavity.