Observation of the gradual transition from one-dimensional to two-dimensional Anderson localization

Abstract

We study the gradual transition from one-dimensional to two-dimensional Anderson localization upon transformation of the dimensionality of disordered waveguide arrays. An effective transition from one- to two-dimensional system is achieved by increasing the number of rows forming the arrays. We observe that, for a given disorder level, Anderson localization becomes weaker with increasing number of rows, hence the effective dimension.

4 pages, 3 figures, to appear in Optics Letters

References in corpus (7)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Localization of ultrasound in a three-dimensional elastic network
• Experimental observation of the Anderson transition with atomic matter waves
• Wave localization at the boundary of disordered photonic lattices
• Soliton excitation in waveguide arrays with an effective intermediate dimensionality

Cited by in corpus (11)

• Inverse Anderson transition in photonic cages
• Temporal complexity in emission from Anderson localized lasers
• Transverse localization in nonlinear photonic lattices with second-order coupling
• Robust Anderson transition in non-Hermitian photonic quasicrystals
• Light scattering in disordered honeycomb photonic lattices near the Dirac points
• Lifshitz tail states in non-Hermitian disordered photonic lattices
• Anderson localization at the hybridisation gap in a plasmonic system
• Random dimer model in pseudo two-dimensional lattices
• Anderson localization without eigenstates in photonic quantum walks
• Parity-dependent localization in $N$ strongly coupled chains
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions