Nonreciprocal transmission through a saturable nonlinear asymmetric dimer

Abstract

We investigate the nonreciprocal diodelike behavior of a dimer with an asymmetric on-site potential and a saturable nonlinearity. The dimer is coupled to linear side chains. The spectra of transmission and the rectifying factor are analytically obtained using a backward iteration of the set of discrete nonlinear Schrödinger equations used to model the wave propagation through the nonlinear dimer. We show that the windows of bistable behavior leading to a pronounced nonreciprocal diodelike transmission become wider and displaced to higher input field intensities as the saturation coefficient increases. Further, saturation of the nonlinear response has opposite impacts on the rectifying action over short- and long-wavelength input signals within the second bistability window. In the first window, the rectifying action is not compromised by the saturation, thus showing that a weak contribution of high-order susceptibilities to the nonlinear response can improve the efficiency of the nonreciprocal transmission. The rectifying action of a dimer with an asymmetric nonlinearity is also discussed.

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

“…From Fig.6 we learn that for those parameter regimes, bulk of the transmission occurs for asymmetry ε v ≤ 0.2, and for saturation µ ≈ 2.5 ∼ 3.5. The cases of symmetry breaking by means of nonlinearity Fig.8 and Fig.10 suggest that it is possible to achieve higher transmission regimes for increased asymmetry levels which could be interesting to explore in the context of a diode-like transmission because, as discussed earlier in this paper and other studies [17,18,33,34], higher asymmetry renders a better diode-like action but with reduced overall transmission.…”

Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers

“…Finally, we should note that after submission of this manuscript, we were notified of a related work in [28]. While the models analyzed in these works are fairly similar, distinctive features of the present work are (a) that we explored systematically the stability of the extended waves and we studied the outcomes of their dynamical instabilities; and (b) we also considered the effect of the incidence of a Gaussian wave packet.…”

Electronic transport in disordered chains with saturable nonlinearity

“…The authors in Ref. [45] investigated in detail the nonreciprocal diode-like behavior of an asymmetric dimer with saturable nonlinearity. It was found that the transmission band becomes wider and displaces to the higher input field intensities as the saturation coefficient increases.…”