Abstract
We explore the nonlinear optical response of the silicon one-dimensional photonic crystal slab supporting bound states in the continuum (BIC). We show the emergence of such nolinear effects as multistable behaviour, self-tuning of BIC and breaking of symmetry protected BIC. We define a class of the nonlinear solutions generated by the linear BIC state and analyze the modulation instability of the obtained solutions and the effect of the finite system size on the stability.
Highlights
Bound states in the continuum [1] (BICs) are a special class of localized solutions of wave equations, which have the energy lying in the continuum of the delocalized states
bound state in the continuum (BIC) are a general feature of wave dynamics, and so may arise for quantum mechanical particles [2,3,4], sound waves [5,6,7], water waves [8,9,10] and photonic structures [11,12,13,14]
The systems supporting optical BICs are usually realized as a two- or one-dimensional periodic photonic structures, such as photonic crystal slabs [15] or patterned photonic wires [16]
Summary
Bound states in the continuum [1] (BICs) are a special class of localized solutions of wave equations, which have the energy lying in the continuum of the delocalized states These states may be interpreted as resonant states with infinite quality factor, which originate due to destructive interference of several leaky modes of the system. The systems supporting optical BICs are usually realized as a two- or one-dimensional periodic photonic structures, such as photonic crystal slabs [15] or patterned photonic wires [16] The continuum in this case represents the states which have the tangential component of the wavevector smaller than the total wavevector of the plane wave in surrounding medium at the same frequency. We show that the BIC supporting systems allow to achieve strong nonlinear response without cavity at low pump power
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