Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
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DOI：
10.3390/photonics1040390
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发表时间：
2014-12-01
期刊：
影响因子：
2.4
通讯作者：
Kip, Detlef
中科院分区：
文献类型：
--
作者：
Law, Daniel;D'Ambroise, Jennie;Kip, Detlef
在本文中，我们考虑非线性二聚体和三聚体（更一般地说，低聚物）嵌入在线性薛定谔晶格的非线性网站是饱和型。我们研究的平面波的形式，这样的链的定态，并通过非线性低聚物，以及相应的整流因子，清楚地说明了左，右传播在这样的系统之间的不对称性，解析计算它们的反射和透射系数。我们不仅研究了平面波态的存在性，而且研究了其动力学稳定性。最后，我们将我们的数值考虑推广到更物理相关的高斯初始波包的情况下，并确认在这种波包的情况下，传输特性的不对称性也持续存在。
In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schrodinger 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.