Related Experiment Videos
Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrödinger model
J Schjødt-Eriksen1, Y B Gaididei, P L Christiansen
1Informatics and Mathematical Modelling, Technical University of Denmark, DK-2800 Lyngby, Denmark. jse@imm.dtu.dk
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
Beam collapse in nonlinear optics can be stopped by specific attractive inhomogeneities. This study analyzes the conditions under which (2+1)-dimensional beams avoid collapse in nonlinear media.
Area of Science:
- Nonlinear Optics
- Mathematical Physics
Background:
- The nonlinear Schrödinger equation describes wave propagation in various media.
- Beam collapse is a critical phenomenon in nonlinear optics, leading to intensity singularities.
Purpose of the Study:
- To investigate the collapse dynamics of (2+1)-dimensional beams.
- To analyze the effect of narrow attractive inhomogeneities on beam collapse.
Main Methods:
- Numerical simulations of the nonlinear Schrödinger equation.
- Analytical investigation of beam dynamics.
Main Results:
- Collapse arrest is demonstrated to be possible under specific conditions.
- The presence of narrow attractive inhomogeneities can prevent catastrophic collapse.
Conclusions:
- Inhomogeneous nonlinear media offer possibilities for controlling beam collapse.
- The findings have implications for managing high-intensity beams in optical systems.