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Impact of two-photon absorption on two-dimensional solitons in silicon waveguides with a nonstationary potential.
- Source :
-
Waves in Random & Complex Media . Aug2023, Vol. 33 Issue 4, p1099-1115. 17p. - Publication Year :
- 2023
-
Abstract
- We study the effects of weak two-photon absorption on two-dimensional (2D) solitons interaction in a silicon-based waveguide under a framework of coupled perturbed (2 + 1) D nonlinear Schrödinger equations with a pure Kerr nonlinearity and a nonstationary potential. We extend the perturbative analysis for collisions of two one-dimensional solitons in silicon waveguides to derive the theoretical expressions for the amplitude evolution of a single perturbed soliton and for the abrupt amplitude downshift of a colliding soliton due to a fast interaction between two 2D solitons in silicon lattices. The theoretical calculations are then validated by the extensive simulations of the coupled perturbed (2 + 1) D nonlinear Schrödinger model with periodic and non-periodic potentials. The simulations are implemented by using the accelerated imaginary-time evolution scheme and the split-step Fourier method. These results allow us to accurately capture the abrupt energy downshift of a colliding soliton in silicon-based two-dimensional waveguides. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17455030
- Volume :
- 33
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Waves in Random & Complex Media
- Publication Type :
- Academic Journal
- Accession number :
- 164784091
- Full Text :
- https://doi.org/10.1080/17455030.2021.2008546