Theory of Passive-Driven Nonlinear Dual-Core Fibre Cavities

In this work, we theoretically investigate the nonlinear light dynamics in dual-core fiber passive-driven resonators. Utilizing coupled Ikeda maps and Lugiato-Lefever equations, we analyze bistability and modulation instability, unveiling notable differences from single-core fiber cavities. Specifically, we highlight the difference in modulation instability maximum gain frequency between supermodes. Our discoveries pave the way for multicore fibre cavity experimental setup design, and modelling.