Abstract

The spatial-multiplexing of nonlinear states of different fiber modes are investigated in a few-mode-fiber-based Kerr resonant cavity. We first design a few-mode fiber (FMF) and optimize the chromatic dispersion for both the fundamental mode (LP01) and the higher-order mode (LP11). A spatial-multiplexing resonant cavity is then constructed by the designed fiber for investigating the coexisted nonlinear states in the spatial dimension. It is founded that the overlap interval of nonlinear states varies with different detuning differences. The coexistence of various nonlinear states is demonstrated within the spatially-multiplexing resonant cavity and eight coexistences are found, including stable soliton state and breather, stable soliton state and Turing pattern, breather and Turing pattern, stable soliton state and chaotic state, two Turing patterns, two chaotic states, two breathers and two stable soliton states. Our study not only enhances the understanding of the fundamental physics of the spatial-multiplexing resonator, but also presents a promising avenue for generating dual frequency combs corresponding to distinct transverse modes.

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