Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
Publication date
2014-12
Document type
Research article
Author
Organisational unit
DOI
10.3390/photonics1040390
Scopus ID
2-s2.0-85026825799
ISSN
2304-6732
2304-6732
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.
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
Version
Not applicable (or unknown)
Access Right
Metadata only access