Propagation Characteristics of Multiple Hermite-Gaussian Sub Beams
In this paper,the Laguerre-Gaussian vortex beam is decomposed into multiple Hermite-Gaussian sub beams based on the interconversion relationship between the Laguerre-Gaussian and Hermite-Gaussian modes,and the intensity distribution of the mode conversion relationship is given.Then,using the Huygens-Fresnel principle,an expression for the field distribution at the receiving surface of multiple Hermite-Gaussian sub beams propagated in vacuum under non-parallel-axis conditions is derived.The intensity and phase distributions of multiple Hermite-Gaussian sub beams with different topological charges and distances during vacuum transmission are investigated using numerical analysis.The results show that the multiple Hermite-Gaussian sub beams have a high light intensity energy concentration in the main fan-site region in the short distance and it can be used for precise optical manipulation.The isophase line of the sub beams field changes from a straight line to a smooth arc as the propagation distance increases.For long-distance propagation,the phase variation of the non-parallel-axis approximation multiple Hermite-Gaussian sub beams is much smaller than the phase distribution of the parallel-axis approximation Laguerre-Gaussian beam.It can be seen that the non-parallel-axis approximation condition of the multiple Hermite-Gaussian sub beams is more suitable for long-distance transmission.The results in this paper can provide a theoretical basis for the propagation of Laguerre-Gaussian vortex beams with high topological charge and wide divergence angle.
Huygens-Fresnel principleLaguerre-Gaussian vortex beammultiple Hermite-Gaussian sub beamsphaseintensity
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维普
