“…The main obstacle for the application of the developed optical integrated circuits with magneto-optical isolators in a practical system is their low output intensities, due to high losses. Moreover, to implement asymmetrical light propagation, in recent years, nonlinear 2D-photonic crystals [5][6][7][8][9][10][11], nonlinear parity-time symmetric (PTS) structures [12][13][14][15][16][17][18], tunable plasmonic waveguides [19][20][21], optomechanical and optoacoustic configurations [22][23][24][25], structures involving indirect interband transitions [26], asymmetric linear passive structure [27], nonlinear passive graded-index [28], asymmetrically light-absorbing structures using nonlinear materials [29] have been used. Most of the nonlinear PhC based isolators, the Fano resonances created via the interplay between the non-linear effect and the asymmetry round-trip in the structure play a critical role in the isolator efficiency, and its isolation rate [5,6].…”