Interface solitons in quadratically nonlinear photonic lattices
Zhiyong Xu, Mario I. Molina, Yuri S. Kivshar

TL;DR
This paper investigates two-color localized modes at interfaces of quadratic photonic lattices, analyzing their stability, properties, and how phase mismatch influences their behavior and generation thresholds.
Contribution
It introduces a combined discrete and continuum modeling approach to study interface solitons in quadratic media, highlighting the effects of phase mismatch and providing insights into their controllability.
Findings
Interface solitons' properties depend on phase mismatch.
Stable localized modes can be generated at lattice interfaces.
Output beam angles and energies are tunable via phase mismatch.
Abstract
We study the properties of two-color nonlinear localized modes which may exist at the interfaces separating two different periodic photonic lattices in quadratic media, focussing on the impact of phase mismatch of the photonic lattices on the properties, stability, and threshold power requirements for the generation of interface localized modes. We employ both an effective discrete model and continuum model with periodic potential and find good qualitative agreement between both models. Dynamics excitation of interface modes shows that, a two-color interface twisted mode splits into two beams with different escaping angles and carrying different energies when entering a uniform medium from the quadratic photonic lattice. The output position and energy contents of each two-color interface solitons can be controlled by judicious tuning of
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