Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2012-02-20
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
In the present paper, we consider nonlinear PT-symmetric dimers and trimers (more generally, oligomers) embedded within a linear Schr{\"o}dinger lattice. We examine the stationary states of such chains in the form of plane waves, and analytically compute their reflection and transmission coefficients through the nonlinear PT symmetric oligomer, as well as the corresponding rectification factors which clearly illustrate the asymmetry between left and right propagation in such systems. We examine not only the existence but also the dynamical stability of the plane wave states and interestingly find them to be generically unstable. Lastly, we generalize our numerical considerations to the more physically relevant case of Gaussian initial wavepackets and confirm that the asymmetry in the transmission properties persists in the case of such wavepackets, as well.
D'Ambroise Jennie
Kevrekidis Panagiotis G.
Lepri Stefano
No associations
LandOfFree
Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-422150