We present modulation instability analysis including azimuthal perturbations of steady-state continuous wave (CW) propagation in multicore-fiber configurations with a central core. In systems with a central core, a steady CW evolution regime requires power-controlled phase matching, which offers interesting spatial-division applications. Our results have general applicability and are relevant to a range of physical and engineering systems, including high-power fiber lasers, optical transmission in multicore fiber, and systems of coupled nonlinear waveguides.
Bibliographical note© 2013 Optical Society of America.
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Funding: EPSRC [UNLOC (EP/J017582/1)]; Ministry of Education and Science of the Russian Federation (agreement no. 14.B25.31.0003); European Research Council (ULTRALASER) and the Marie Curie IRSES program.