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Trapping of two-component light bullets in a gradient waveguide with normal group dispersion
Aleksey A Kalinovich1, Maria V Komissarova1, Sergey V Sazonov2
1Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia.
Plos One
|August 16, 2019
Summary
This study explores second harmonic generation in gradient waveguides, demonstrating the creation of two-component light bullets. Coupled pair generation is shown possible even with normal group velocity dispersion.
Area of Science:
- Nonlinear optics
- Waveguide optics
- Computational physics
Background:
- Second harmonic generation (SHG) is a key nonlinear optical process.
- Waveguides confine light, enabling efficient nonlinear interactions.
- Temporal dispersion and diffraction effects can influence SHG dynamics.
Purpose of the Study:
- To investigate SHG in a gradient refractive index waveguide.
- To analyze the generation of two-component light bullets.
- To examine the impact of diffraction and weak temporal dispersion on SHG.
Main Methods:
- Utilizing the slowly varying envelope approximation.
- Deriving a system of parabolic equations for harmonic envelopes.
- Developing a nonlinear finite-difference scheme based on the Crank-Nicolson method.
- Preserving integrals of motion during numerical simulations.
Main Results:
- Obtained a system of parabolic equations governing the SHG process.
- Derived integrals of motion for the system.
- Successfully implemented a stable numerical scheme.
- Demonstrated the possibility of generating two-component light bullets.
- Showcased coupled pair generation in planar waveguides despite normal group velocity dispersion.
Conclusions:
- The developed numerical method accurately simulates SHG with diffraction and dispersion.
- Two-component light bullet generation is feasible in gradient waveguides.
- Normal group velocity dispersion does not preclude coupled light bullet formation.
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