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Self-trapping of scalar and vector dipole solitary waves in Kerr media

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Original languageEnglish
Article number043833
JournalPhysical Review A
Issue number4
Publication statusPublished - 27 Apr 2011
Publication typeA1 Journal article-refereed


We report solutions for expanding dipole-type optical solitary waves in two-dimensional Kerr media with the self-focusing nonlinearity, using exact analytical (Hirota) and numerical methods. Such localized beams carry intrinsic vorticity and exhibit symmetric shapes for both scalar and vector solitary modes. When vector beams are close to the scalar limit, simulations demonstrate their stability over propagation distances exceeding 50 diffraction lengths. In fact, the continuous expansion helps the vortical beams avoid the instability against the splitting, collapse, or decay, making them "convectively stable" patterns.