Superpositions of Laguerre-Gaussian Beams in Strongly Nonlocal Left-handed Materials
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We present beam solutions of the strongly nonlocal nonlinear Schrdinger equation in left-handed materials (LHMs). Different Laguerre-Gaussian (LG) necklace beams, such as symmetric and asymmetric single layer and multilayer necklace beams are created by the superposition of two single beams with different topological charges. Such superpositions are then propagated through LHMs, displaying linear diffraction. It is found that the superposition of two LGnm beams with opposite topological charges does not show rotational behavior and that there exists rotation for other topological charge combinations. Our theory predicts that the accessible solitons cannot exist in LHMs. 2010 Chinese Physical Society and IOP Publishing Ltd.