Inducing localized solutions via interaction in a self-defocusing system with localized pumping
Pattern Formation and Solitons
2025-02-12 v1 Optics
Abstract
We investigate the emergence of induced localized coupled modes in passive cavities with both loss and gain. Our model is based on linearly coupled Lugiato-Lefever equations, where a Gaussian pump beam is applied to only one mode. Through numerical simulations, we demonstrate that self-defocusing systems can support the formation of localized stationary modes in the partner field. The characteristics of these induced modes are determined by key parameters, including coupling strength, cavity decay rate, detuning effects, and the pump beam's intensity and width.
Keywords
Cite
@article{arxiv.2502.07561,
title = {Inducing localized solutions via interaction in a self-defocusing system with localized pumping},
author = {Wesley B. Cardoso and Mateus C. P. dos Santos},
journal= {arXiv preprint arXiv:2502.07561},
year = {2025}
}
Comments
6 pages, 6 figures