Variational solutions for Hermite--Gaussian solitons in nonlocal nonlinear media |
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Authors: | Bai Dong-Feng Huang Chang-Chun He Jun-Feng and Wang Yi |
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Institution: | Department of Mechanical Engineering, Henan Polytechnic Institute, Nanyang 473009, China |
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Abstract: | 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. |
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Keywords: | nonlocal nonlinear media variational approach Hermite--Gaussian solitons |
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