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Spatiotemporal doubly periodic waves in a phase-mismatched second-harmonic generation
Optics Letters
|May 23, 2023
Summary
We characterized quadratic doubly periodic waves formed by modulation instability in quadratic nonlinear media. Wave-vector mismatch offers additional control over wave periodicity beyond input conditions.
Area of Science:
- Nonlinear optics
- Wave physics
Background:
- Doubly periodic waves are precursors to localized structures.
- Modulation instability is crucial in nonlinear media.
Purpose of the Study:
- To investigate the formation of quadratic doubly periodic waves.
- To analyze their origin from coherent modulation instability.
- To explore control mechanisms for these waves.
Main Methods:
- Analytical investigation.
- Numerical simulations.
- Analysis within the cascading second-harmonic generation regime.
Main Results:
- Characterization of quadratic doubly periodic wave formation.
- Demonstration of control via wave-vector mismatch and input conditions.
- Identification of unique periodicity control in quadratic media compared to cubic.
Conclusions:
- The study provides novel insights into quadratic doubly periodic waves.
- Findings impact the control of rogue waves and modulation instability.
- This work advances understanding of nonlinear wave phenomena in quadratic media.
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