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Area of Science:

Nonlinear optics
Fiber optics

Background:

Modulational instability (MI) is a key phenomenon in nonlinear optics, typically studied in systems with homogeneous dispersion.
Passive cavities are fundamental for generating and manipulating optical phenomena.

Purpose of the Study:

To investigate the effect of dispersion oscillating fibers on modulational instability in passive cavities.
To explore the extension of modulational instability to novel high-frequency bands.
To demonstrate the potential for exciting stable pulse trains.

Main Methods:

Utilizing dispersion oscillating fibers within passive optical cavities.
Applying Floquet theory to derive exact expressions for sideband gain.
Developing analytical estimates for maximum gain frequencies.
Conducting numerical simulations to validate theoretical findings.

Main Results:

Significant extension of modulational instability to new high-frequency bands was observed.
Destabilization of previously stable steady-response branches under homogeneous dispersion was shown.
Exact analytical expressions for sideband gain and maximum gain frequencies were obtained.
Numerical simulations confirmed the excitation of stable, stationary pulse trains.

Conclusions:

Dispersion oscillating fibers offer a powerful method to control and extend modulational instability.
This technique opens avenues for generating novel optical states and stable pulse formats.
The findings have implications for advanced optical signal processing and laser design.