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Vortex Solitons in Quasi-Phase-Matched Photonic Crystals
Feiyan Zhao1, Xiaoxi Xu1, Hexiang He1
1School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528000, China.
Abstract:
We report solutions for stable compound solitons in a three-dimensional quasi-phase-matched photonic crystal with the quadratic (χ^{(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 χ^{(2)} media. Possibilities for experimental realization of the solitons are outlined.
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