Symmetry-based analytical solutions to the \chi^{(2)} nonlinear directional coupler
Optics
2019-04-24 v2 Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
In general the ubiquitous \chi^{(2)} nonlinear directional coupler, where nonlinearity and evanescent coupling are intertwined, is nonintegrable. We rigorously demonstrate that matching excitation to the even or odd fundamental supermodes yields dynamical analytical solutions for any phase matching in a symmetric coupler. We analyze second harmonic generation and optical parametric amplification regimes and study the influence of fundamental fields parity and power on the operation of the device. These fundamental solutions are useful to develop applications in classical and quantum fields such as all-optical modulation of light and quantum-states engineering.
Cite
@article{arxiv.1901.04897,
title = {Symmetry-based analytical solutions to the \chi^{(2)} nonlinear directional coupler},
author = {David Barral and Kamel Bencheikh and Peter J. Olver and Nadia Belabas and Juan Ariel Levenson},
journal= {arXiv preprint arXiv:1901.04897},
year = {2019}
}
Comments
7 pages, 6 figures