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Modulational instability in a passive fiber cavity, revisited
D A Zezyulin1, V V Konotop, M Taki
1Centro de Física Teórica e Computacional and Departamento de Física, Universidade de Lisboa, Avenida Professor Gama, Pinto 2, Lisboa 1649-003, Portugal. zezyulin@cii.fc.ul.pt
Optics Letters
|December 6, 2011
Summary
Plane wave solutions are unstable in passive fiber cavities for both normal and anomalous dispersion. This instability arises from mode mixing in continuous-time Ikeda maps, differing from discrete-time models.
Area of Science:
- Nonlinear Optics
- Fiber Optics
- Optical Cavities
Background:
- Modulation instability is a key phenomenon in nonlinear fiber optics.
- Previous studies often relied on the mean-field approximation.
- Understanding instability in passive fiber cavities is crucial for optical signal processing.
Purpose of the Study:
- To revisit modulation instability in a passive fiber cavity.
- To analyze the instability using a continuous-time Ikeda map, avoiding the mean-field limit.
- To identify the origin of instability and compare results with discrete-time models.
Main Methods:
- Utilized a continuous-time Ikeda map model.
- Analyzed plane wave solutions for stability.
- Investigated the role of mode mixing from beam splitters.
- Compared instability conditions with discrete-time Ikeda map results.
Main Results:
- Plane wave solutions are found to be unstable in both normal and anomalous dispersion regimes.
- Mode mixing introduced by the beam splitter is identified as the source of instability.
- Significant differences in instability conditions were observed compared to discrete-time Ikeda maps.
Conclusions:
- The continuous-time Ikeda map provides a more comprehensive analysis of modulation instability.
- Mode mixing is a critical factor in the onset of instability in passive fiber cavities.
- The findings highlight the limitations of the mean-field approximation in certain scenarios.
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