Inducing localized solutions via interaction in a self-defocusing system with localized pumping

TL;DR

This paper explores how localized stationary modes can be induced in self-defocusing passive cavities with localized pumping, using coupled Lugiato-Lefever equations and numerical simulations.

Contribution

It introduces a novel approach to generate localized modes in self-defocusing systems through selective pumping and coupling effects.

Findings

Localized modes depend on coupling strength and pump parameters

Self-defocusing systems can support stable localized solutions

Mode characteristics are tunable via system parameters

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.