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Updated: Jul 16, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
X , Y , and Z waves: extended structures in nonlinear lattices
P G Kevrekidis1, J Gagnon, D J Frantzeskakis
1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.
Summary
Researchers introduce novel waveforms for extended nonlinear structures (ENSs) in 2D and 3D discrete media. These stable lattice soliton patterns, or tiles and stones, have potential applications in Bose-Einstein condensates and photonic devices.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Photonics
Background:
- Discrete nonlinear systems support localized waves called solitons.
- Extended Nonlinear Structures (ENSs) are complex arrangements of these solitons.
- Understanding the stability and applications of ENSs is crucial for novel material design.
Purpose of the Study:
- To propose and analyze new types of waveforms for 2D and 3D ENSs.
- To investigate the stability of fundamental soliton units (tiles and stones) analytically and numerically.
- To identify stable ENS configurations and explore their potential physical realizations.
Main Methods:
- Analytical investigation of tile and stone stability.
- Numerical extension of stable units to complete 2D and 3D ENSs.
- Exploration of potential experimental platforms for ENS realization.
Main Results:
- Introduction of novel multilegged ENS waveforms in 2D and 3D discrete media.
- Analytical and numerical validation of the stability of fundamental soliton arrays (tiles and stones).
- Identification of stable ENS patterns suitable for experimental realization.
Conclusions:
- Stable ENSs composed of lattice solitons can be designed in 2D and 3D discrete media.
- These structures have potential applications in Bose-Einstein condensates and microresonator crystals.
- In photonic crystals, these patterns offer a method for creating reconfigurable virtual partitions.
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