Superpositions of Laguerre-Gaussian Beams in Strongly Nonlocal Left-handed Materials

摘要

We present beam solutions of the strongly nonlocal nonlinear Schrodinger equation in left-handed materials(LHMs). Different Laguerre-Gaussian (LG) necklace beams, such as symmetric and asymmetric single layer andmultilayer necklace beams are created by the superposition of two single beams with different topological charges. Suchsuperpositions are then propagated through LHMs, displaying linear diffraction. It is found that the superposition oftwo LG_(nm) beams with opposite topological charges does not show rotational behavior and that there exists rotation forother topological charge combinations. Our theory predicts that the accessible solitons cannot exist in LHMs,