Fig. 1 Schematic of the strongly coupled subwaveguides with a nonlinear gate More

Fig. 2 Numerical simulations of system 1 listed in Table 1 : ( a ), ( c ), ( e ) Time series of x 0 and y 0 , corresponding discrete Fourier spectra and input/downstream energy measures, respectively, for σ 1 = − 1 and σ 2 = − 1.5 , ( b ), (... More

Fig. 3 Numerical simulations of system 2 listed in Table 1 : ( a ), ( c ), ( e ) Time series of x 0 and y 0 , corresponding discrete Fourier spectra and input/downstream energy measures, respectively, for σ 1 = 1 and σ 2 = 0 , ( b ), ( d ), ( ... More

Fig. 4 Transmissibility and downstream energy measures in the gated waveguide for varying normalized damping ratio ζ and other parameters listed in Table 1 : ( a ) and ( b ) simulation 1 and ( c ) and ( d ) simulation 2 More

Fig. 5 Time series and corresponding wavelet transforms of x 0 and y 0 for System 2 with ( a ) and ( b ) ζ = 0.02 , ( c ) and ( d )   ζ = 0.022 , and ( e ) and ( f ) ζ = 0.024 More

Fig. 6 Comparison of the analytical and numerical downstream energy for the parameters given in Table 1 : ( a ) and ( b ) simulation 1 for left-to-right and right-to-left propagation, respectively; ( c ) and ( d ) simulation 2 for left-to-right and right-to-left propagation More

Fig. 7 Schematic of the architecture of the NN model More

Fig. 8 Comparison between the target and output (prediction) of the testing set: ( a ) Transmissibility measure, ( b ) nonreciprocity measure, ( c ) distribution based on direct numerical simulations, and ( d )distribution based on NN predictions More

Fig. 9 Desired region predicted by the neural net: ( a ) Desired region in the ( σ 1 , σ 2 ) plane for ( θ , A p , d ) = ( 7 12 π , 0.4 , 0.6 ) and ( b ) kernel size of the desired region in ( σ 1 , σ 2 ) fo... More

Fig. 10 Kernel sizes for the desired region in the ( σ 1 , σ 2 ) plane: ( a ), ( c ), and ( e ) NN prediction for d = 0.2 ,   0.5 , and 0.8 , respectively, ( b ), ( d ), ( f ) analytical prediction for d = 0.2 ,   0.5 , and 0.8 , respecti... More

Fig. 11 Numerical comparison of case A of Fig. 10 : ( a ) Desired region predicted by the NN, ( b ) desired region predicted by the analytical solution, ( c ) time series of x 0 , y 0 at point A1 for τ ∈ [ 400 , 450 ] , ( d ) time series of x 0 , ... More

Fig. 12 Numerical comparison of case B of Fig. 10 : ( a ) Desired region predicted by the NN, ( b ) desired region predicted by the analytical solution, ( c ) time series of x 0 , y 0 at point B1 for τ ∈ [ 400 , 450 ] , ( d ) time series of x 0 , ... More

Fig. 13 Numerical comparison of case C of Fig. 10 : ( a ) Desired region predicted by the NN, ( b ) desired region predicted by the analytical solution, ( c ) time series of x 0 , y 0 at point C1 for τ ∈ [ 400 , 450 ] , ( d ) time series of x 0 , ... More

Fig. 14 Loss function of the neural network at each epoch More