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Light bullets in quadratic media with normal dispersion at the second harmonic
I N Towers1, B A Malomed, F W Wise
1Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.
Physical Review Letters
|April 12, 2003
Summary
Stable spatiotemporal solitons (STSs) were discovered in second-harmonic-generating media with normal dispersion. These solitons can be experimentally realized and are robust against dispersion and walk-off effects.
Area of Science:
- Nonlinear optics
- Photonics
- Wave propagation
Background:
- Spatiotemporal solitons (STSs) are self-reinforcing light beams.
- Their existence in second-harmonic-generating (SHG) media with normal dispersion was previously considered unlikely.
Purpose of the Study:
- To investigate the possibility of stable STSs in SHG media under normal dispersion conditions.
- To explore the stability and self-trapping properties of these solitons.
Main Methods:
- Analytical estimation for STS existence.
- Numerical simulations to obtain full results and stability diagrams.
- Analysis of soliton behavior under normal second-harmonic (SH) dispersion and finite walk-off.
Main Results:
- Stable two- and three-dimensional STSs were found to exist in SHG media with normal SH dispersion.
- An analytical criterion for STS existence was derived.
- Numerical simulations confirmed the stability and provided a comprehensive stability diagram.
- STSs demonstrated robustness against normal dispersion and harmonic walk-off.
- Efficient self-trapping of Gaussian pulses at the fundamental frequency was observed.
Conclusions:
- The theoretical prediction of STSs in normal dispersion SHG media is now established.
- These findings pave the way for experimental realization of STSs.
- The demonstrated robustness suggests potential applications in optical systems.