-symmetric ladders with a scattering core
arXiv:1407.1086 · doi:10.1016/j.physleta.2014.07.037
Abstract
We consider a -symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schrödinger equation where the cubic nonlinearity is carried solely by two central "rungs" of the ladder. Two branches of scattering solutions for incident plane waves are found. We systematically construct these solutions, analyze their stability, and discuss non-reciprocity of the transmission associated with them. To relate these results to finite-size wavepacket dynamics, we also perform direct simulations of the evolution of the wavepackets, which confirm that the transmission is indeed asymmetric in this nonlinear system with the mutually balanced gain and loss.
References in corpus (6)
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Bistable diode action in left-handed periodic structures
- Nonreciprocal switching thresholds in coupled nonlinear microcavities
- Analytical stable Gaussian soliton supported by a parity-time-symmetric potential with power-law nonlinearity
- Symmetry breaking and restoring wave transmission in diode-antidiode double chains
- Wave-packet rectification in nonlinear electronic systems: A tunable Aharonov-Bohm diode