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The physical features exhibited by Hermite--Gaussian (HG) beams
propagating in nonlocal nonlinear media with Gaussian-shaped
response are discussed with an approximate variational method. Using
direct numerical simulations, we find that the beam properties in
the normalized system are different with the change of the degree of
nonlocality. It is shown that initial HG profiles break up into
several individual beams with propagation when the degree of
nonlocality $\alpha$ is small. HG beams can propagate stably when $\alpha$ is large enough. 相似文献
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