Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
Publication date
2014-12
Document type
Research article
Author
Organisational unit
Scopus ID
arXiv ID
Series or journal
Photonics : open access journal
Periodical volume
1
Periodical issue
4
First page
390
Last page
403
Part of the university bibliography
✅
Abstract
In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schr{\"o}dinger 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.
Cite as
2014, 1(4), 390-403
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Not applicable (or unknown)
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