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Mobility of discrete cavity solitons
O Egorov1, U Peschel, F Lederer
1Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
Summary
Discrete cavity solitons in coupled nonlinear resonators exhibit hindered motion due to inherent discreteness. This leads to collisions between stationary and moving solitons, revealing complex dynamics.
Area of Science:
- Nonlinear optics
- Photonics
- Condensed matter physics
Background:
- Discrete cavity solitons are localized light structures in nonlinear optical systems.
- Coupled nonlinear resonators can support complex soliton dynamics.
- Transversely homogeneous cavities allow for easier soliton motion.
Purpose of the Study:
- To investigate the mobility of discrete cavity solitons in arrays of coupled quadratic nonlinear resonators.
- To understand how inherent discreteness affects soliton motion and interactions.
- To analyze the collisions between solitons with different mobility characteristics.
Main Methods:
- Numerical simulations of coupled quadratic nonlinear resonators.
- Theoretical analysis using perturbation theory.
- Derivation of semianalytical expressions for soliton velocities.
Main Results:
- Inherent discreteness significantly hinders or prevents soliton motion in resonator arrays.
- Solitons can exhibit distinct mobility states (rest vs. motion) under identical system parameters.
- Collisions between stationary and moving solitons were observed and analyzed.
Conclusions:
- The discreteness of coupled nonlinear resonators introduces unique soliton dynamics, including mobility differences.
- Perturbation theory provides valuable insights into semianalytical soliton velocity calculations.
- This study highlights the complex behavior of discrete solitons and their potential for novel optical phenomena.
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