Transverse localization of light in nonlinear photonic lattices with dimensionality crossover

Jović DM, Belić MR, Denz C

Research article (journal) | Peer reviewed

Abstract

In a numerical study, we demonstrate the dimensionality crossover in Anderson localization of light. We consider crossover from the two-dimensional (2D) to the one-dimensional (1D) lattice, optically induced in both linear and nonlinear dielectric media. The joint influence of nonlinearity and disorder on Anderson localization in such systems is discussed in some detail. We find that, in the linear regime, the localization is more pronounced in two dimensions than in one dimension. We also find that the localization in the intermediate cases of crossover is less pronounced than in both the pure 1D and 2D cases in the linear regime, whereas in the nonlinear regime this depends on the strength of the nonlinearity. There exist strongly nonlinear regimes in which 1D localization is more pronounced than the 2D localization, opposite to the case of the linear regime. We find that the dimensionality crossover is characterized by two different localization lengths, whose behavior is different along different transverse directions.

Details about the publication

JournalPhysical Review A (Phys Rev A)
Volume84
Issue4
StatusPublished
Release year2011 (31/12/2011)
Language in which the publication is writtenEnglish
DOI10.1103/PhysRevA.84.043811
Link to the full texthttp://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-80053480678&md5=c55256baae489e275d9d704381ca8e50

Authors from the University of Münster

Denz, Cornelia
Professur für Angewandte Physik (Prof. Denz)
Center for Nonlinear Science
Rectorate - Vice-Rectorate for International Affairs and Junior Academics

Preisverleihungen erhalten für die Publikation

Tailored Light Fields: A Novel Approach for Creating Complex Optical Traps (The most exciting peer-reviewed optics research in 2011)
Awarded by: Optical Society of America, Journal "Optics and Photonics News"
Award given to: Alpmann, Christina; Wördemann, Mike; Denz, Cornelia;
Announced at: 15/12/2011 | Date of awarding: 15/12/2011
Type of distinction: Best publication award