Abstract
It is investigated that the interplay of fractal resonant states and Kerr nonlinearity in the presence of the intrinsic asymmetry of fractal Fibonacci photonic crystals (FFPC) leads to nonreciprocal bistability. Finite element analysis of the 1D nonlinear Helmholtz equation and the nonlinear finite difference time domain are used to study both stable and dynamic electromagnetic behaviors of nonlinear FFPC and nonreciprocal transmission is interpreted through coupled mode theory.
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