We predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase gradients at the fundamental frequency and second-harmonic fields and the parametric frequency conversion between the spectral components. The linear stability analysis shows that such modes are stable in a broad parameter region. (C) 2009 Optical Society of America
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Changzhi Univ, Dept Phys, Changzhi 046011, Shanxi, Peoples R ChinaKing Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia
Huang, Changming
Shang, Ce
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King Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi ArabiaKing Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia
Shang, Ce
Kartashov, Yaroslav V.
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Russian Acad Sci, Inst Spect, Troitsk 108840, RussiaKing Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia
Kartashov, Yaroslav V.
Ye, Fangwei
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Shanghai Jiao Tong Univ, Sch Phys & Astron, Shanghai 200240, Peoples R ChinaKing Abdullah Univ Sci & Technol KAUST, Phys Sci & Engn Div PSE, Thuwal 239556900, Saudi Arabia