Publication Date
2014
Journal or Book Title
Photonics
Abstract
In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schrödinger lattice where the nonlinear sites are of saturable type. 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 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. 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 also persists in the case of such wavepackets.
Pages
390-403
Volume
1
Issue
4
Recommended Citation
Law, Daniel; D’Ambroise, Jennie; Kevrekidis, Panayotis G.; and Kip, Detlef, "Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers" (2014). Photonics. 1255.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1255
Comments
Uploaded as published. Photonics is an open access journal. doi:10.3390/photonics1040390