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Kink shape solutions of the Maxwell-Lorentz system
Mads Peter Sørensen1, Garry M Webb, Moysey Brio
1Department of Mathematics, Technical University of Denmark, Kongens Lyngby. M.P.Soerensen@mat.dtu.dk
Summary
High amplitude electromagnetic fields generate kink antikink optical waves. Numerical simulations confirm the stability of these waves, which are tens of femtoseconds wide.
Area of Science:
- Nonlinear optics
- Theoretical physics
- Computational physics
Background:
- Nonlinear phenomena in optics are crucial for understanding light-matter interactions.
- Maxwell's equations coupled with material properties describe light propagation.
- Kink and antikink solutions represent stable localized wave structures.
Purpose of the Study:
- To investigate the existence and stability of kink antikink shaped optical waves.
- To analyze these waves within the framework of Maxwell's equations coupled to a Lorentz oscillator with Kerr nonlinearity.
- To determine the characteristic width of these optical waves.
Main Methods:
- Analytical derivation using a traveling wave assumption.
- Numerical simulations to assess the stability of the identified kink and antikink solutions.
- Analysis of Maxwell's equations coupled with a single Lorentz oscillator and Kerr nonlinearity.
Main Results:
- A sequence of kink and antikink shaped optical waves was discovered in the high amplitude oscillating electromagnetic field limit.
- The stability of these individual kink and antikink solutions was confirmed through numerical simulations.
- The calculated kink width is approximately tens of femtoseconds for typical physical parameters.
Conclusions:
- Kink antikink optical waves are a valid phenomenon in nonlinear optical systems under specific conditions.
- These findings contribute to the understanding of localized wave structures in nonlinear optics.
- The femtosecond timescale of kink widths has implications for ultrafast optical technologies.
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