Soliton excitation in waveguide arrays with an effective intermediate dimensionality
A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, T. Pertsch, S., Nolte, A. Tunnermann, V. A. Vysloukh, F. Lederer, L. Torner

TL;DR
This paper experimentally investigates how discrete solitons evolve in waveguide arrays as the lattice structure transitions from one to two dimensions, revealing new soliton behaviors related to effective dimensionality.
Contribution
It introduces the concept of effective reduced dimensionality of solitons in waveguide arrays with gradually increasing rows, providing new insights into soliton dynamics during dimensional transition.
Findings
Solitons exhibit significant modifications during the transition from 1D to 2D lattices.
Edge and bulk solitons behave differently in the intermediate dimensional regime.
Experimental observation confirms theoretical predictions of soliton behavior in variable-dimensional arrays.
Abstract
We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and soliton excitation in arrays with a gradually increasing number of rows are investigated, yielding solitons with an effective reduced dimensionality residing at the edge and in the bulk of the lattice.
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