Abstract
We study the modulation instability (MI) for nonlinear Schrödinger equation phase locked to an external source. We analytically compute the growth rate and analyze the possibility of existence of MI for self-focusing and self-defocusing nonlinearities for positive and negative values of the homogeneous source term coefficient. We further investigate the impact of variation of nonlinear coefficient and variation of source term coefficient on the existence of MI. Phase-locking is the key characteristic that enables us to conduct analytical investigations of MI in this dynamical system, that appertains to pulse propagation through asymmetric twin-core fibers.
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