Vortex solitons in quasi-phase-matched photonic crystals

Abstract

We report solutions for stable compound solitons in a three-dimensional quasi-phase-matched photonic crystal with the quadratic (${\chi }^{(2)}$) nonlinearity. The photonic crystal is introduced with a checkerboard structure, which can be realized by means of the available technology. The solitons are built as four-peak vortex modes of two types, rhombuses and squares (intersite- and onsite-centered self-trapped states, respectively). Their stability areas are identified in the system's parametric space (rhombuses occupy an essentially broader stability domain), while all bright vortex solitons are subject to strong azimuthal instability in uniform ${\chi }^{(2)}$ media. Possibilities for experimental realization of the solitons are outlined.

arXiv comment6 pages, 6 figures, 55 references, Physical Review Letters, in press

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Cited by in corpus (4)

• Semidiscrete optical vortex droplets in quasi-phase-matched photonic crystals
• Quadratic solitons in higher-order topological insulators
• Quantized transport of two-dimensional multifrequency solitons
• Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates