Abstract
Abstract Incoherent orthogonal polarized Hermite-Gaussian (HG) beam pairs are investigated in nonlocal planar waveguide. Using the variational approach, we discuss the existence and dynamics of Vector HG solitons analytically and confirm it by split-step Fourier method. The results show that a series of vector solitons, which were consisted of different-order HG beam pairs, can form when the total initial power is equal to the critical power. Whereas the beam widths will vibrate periodically during propagation.
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