Regimes and Transitions of the Nonlinear Temporal Talbot Effect: Underlying Mechanism for A-Type Breathers, Soliton Crystals, and Soliton Gas
A frequency comb from a phase-modulated continuous-wave laser is subject to the temporal Talbot effect and modulational instability in an optical fiber or semiconductor. Using Soliton Radiation Beat Analysis and a dispersion relation for comb lines, I identify distinct regimes of the nonlinear Talbo...
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| Format | Journal Article |
| Language | English |
| Published |
17.08.2025
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.2508.12494 |
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| Summary: | A frequency comb from a phase-modulated continuous-wave laser is subject to the temporal Talbot effect and modulational instability in an optical fiber or semiconductor. Using Soliton Radiation Beat Analysis and a dispersion relation for comb lines, I identify distinct regimes of the nonlinear Talbot effect of A-type breathers, soliton crystals, and soliton gas that arise from varying hierarchies of self-phase modulation, cross-phase modulation, and the type of four-wave mixing (regular vs. cascaded). The temporal Talbot effect governs the spatio-temporal distribution of linear and nonlinear pulses and is closely related to the Fermi-Pasta-Ulam-Tsingou recurrence phenomenon. The study advances the fields of Nonlinear Optics and Wave Theory. |
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| DOI: | 10.48550/arxiv.2508.12494 |