The nonlinear interactions of coupled nanowires are important phenomena in data processing of integrated photonic circuits. In this paper, we investigate the nonlinear coupling of two silver nonlinear coupled plasmonic nanowires for TM00 and TM10 modes under different amplitudes in the presence of Kerr effect, and the other case that the medium has Kerr and two photon absorption (TPA) effect too. The results show that in the presence of TPA effect the nonlinear optical effects appear in lower input amplitudes than Kerr effect. The Kerr effect occurs in upper intensities than the TPA effect and nonlinear optical effect leads to decrease the exchange of plasmonic waves between two nanowires. Also, the coupling length (Lc), that it means the characteristic length of the structure has a lower coupling distance that through propagating in the medium the transfer of the wave is completely, in TM00 mode is lower than TM10 mode. Also, the results show that for different values of initial amplitudes of field in a fixed value of Lc, the coupling efficiency increases with increasing the value of intensity.
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