We present beam solutions of the strongly nonlocal nonlinear Schrodinger equation in left-handed mate- rims （LHMs）. Different Laguerre-Ganssian （LG） necklace beams, such as symmetric and asymmetric single layer an...We present beam solutions of the strongly nonlocal nonlinear Schrodinger equation in left-handed mate- rims （LHMs）. Different Laguerre-Ganssian （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.展开更多
Within the framework of the correlation theory of electromagnetic laser beams,the far field cross-spectral density matrix of the light radiated from an electromagnetic Hermite-Gaussian model source is derived.By utili...Within the framework of the correlation theory of electromagnetic laser beams,the far field cross-spectral density matrix of the light radiated from an electromagnetic Hermite-Gaussian model source is derived.By utilizing the convergence property of Hermite polynomials,the conditions of the matrices for the source to generate an electromagnetic Hermite-Gaussian beam are obtained.Furthermore,in order to generate a scalar Hermite-Gaussian model beam,it is required that the source should be locally rather coherent in the spatial domain.展开更多
基金Supported by the Science Research Foundation of Shunde Polytechnic (2008-KJ06), ChinaWork at the Texas A&M University at Qatar is supported by the NPRP 25-6-7-2 project with the Qatar National Research Foundation
文摘We present beam solutions of the strongly nonlocal nonlinear Schrodinger equation in left-handed mate- rims （LHMs）. Different Laguerre-Ganssian （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.
基金supported by the National High Technology Research and Development Program of China (No. 2007AA04Z181)the National Natural Science Foundation of China (No. 61077012)+1 种基金the Research Fund of this University (No.2010ZYTS031)the Excellent Doctorial Candidate Training Fund in this University
文摘Within the framework of the correlation theory of electromagnetic laser beams,the far field cross-spectral density matrix of the light radiated from an electromagnetic Hermite-Gaussian model source is derived.By utilizing the convergence property of Hermite polynomials,the conditions of the matrices for the source to generate an electromagnetic Hermite-Gaussian beam are obtained.Furthermore,in order to generate a scalar Hermite-Gaussian model beam,it is required that the source should be locally rather coherent in the spatial domain.
