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Bound states in continuum (BICs) are localized states of a system possessingsignificantly large life times with applications across various branches ofscience. In this work, we propose an expedient protocol to engineer BICs whichinvolves the use of Kerr nonlinearities in the system. The generation of BICsis a direct artifact of the nonlinearity and the associated expansion in thedimensionality of the system. In particular, we consider single and two modeanharmonic systems and provide a number of solutions apposite for the creationof BICs. In close vicinity to the BIC, the steady state response of the systemis immensely sensitive to perturbations in natural frequencies of the systemand we illustrate its propitious sensing potential in the context ofexperimentally realizable setups for both optical and magnetic nonlinearities.

Engineering bound states in continuum via nonlinearity induced extra dimension