Interaction of discrete nonlinear Schrodinger solitons with a linear lattice impurity

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Valeriy A Brazhnyi (Author) FCUP; Chandroth P Jisha (Author) Other; Rodrigues, AS (Author) FCUP

Journal

Title: Physical Review A - Atomic, Molecular, and Optical Physics

Vol. 87

ISSN: 1050-2947

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

CORDIS: Physical sciences > Physics

Other information

Authenticus ID: P-002-19W

DOI: 10.1103/physreva.87.013609

Abstract (EN): The interaction of moving discrete solitons with a linear Gaussian defect is investigated. Solitons with profiles varying from hyperbolic secant to exponentially localized are considered such that the mobility of soliton is maintained; the condition for which is obtained. Studies on scattering of the soliton by an attractive defect potential reveal the existence of total reflection and transmission windows which become very narrow with increasing initial soliton amplitude. Transmission regions disappear beyond the small-amplitude limit. The regions of complete reflection and partial capture correspond to the windows of the existence and nonexistence of solution of the stationary problem. Interaction of the discrete soliton with a barrier potential is also investigated. The critical amplitude of the defect at which splitting of the soliton into two parts occurs was estimated from a balance equation. The results were confirmed through direct numerical integration of the dynamical equation showing very good agreement with the analytical prediction. DOI: 10.1103/PhysRevA.87.013609

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8