Highly localized discrete quadratic solitons
Related Experiment Video
Updated: Aug 17, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
Robert Iwanow1, George I Stegeman, Roland Schiek
1Center for Research and Education in Optics and Lasers and Florida Photonics Center of Excellence, College of Optics, University of Central Florida, 4000 Central Florida Boulevard, Orlando, Florida 32816, USA. iwanow@creol.ucf.edu
Abstract:
We observe highly localized solitons in periodically poled lithium niobate waveguide arrays close to phase matching for second-harmonic generation. With fundamental and second-harmonic input in one channel the response indicates two distinguishable propagation schemes. Depending on the relative phase between the two input waves, a self-trapped beam emerges, resembling closely either the in- or the out-of-phase quadratic eigenmode of a single waveguide. A stable soliton propagates when the input waves are in phase.
Related Concept Videos
Quadratic Equations in the Complex Number System
Quadratic Equations
Separable Differential Equations
Solvating Effects
Partial Differential Equations
Limits with Oscillating Discontinuities

