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Introduction of the vortex Hermite-Cosh-Gaussian beam and the analysis of its intensity pattern upon propagation

机译:涡旋Hermite-CoSh-Gaussian光束的引入及其在传播时的强度模式分析

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In this paper, a vortex-Hermite-cosh-Gaussian beam (vHChGB) is introduced as a general form of the vortex cosh-Gaussian and vortex Hermite-Gaussian beams. Based on the Huy-gens-Fresnel diffraction integral, a propagation formula of the vHChGB passing through a paraxial optical system is derived. The evolution of the intensity pattern of the propagated vHChGB as a function of the beam order, decentered parameter (b parameter) and topological vortex charge is discussed with numerical results. It is shown that the vHChGB shape in the source plane depends crucially on the decentered parameter. In far-field, the multi-lobe profile obtained for small b evolves into a four-petal-like beam. Whereas the initial four-lobe profile for large b, morphs into a multi-lobes pattern. The vHChGB shows specific intensity patterns depending on the beam order and the vortex charge. This study may be beneficial for applications involving beam shaping of hollow vortex beam, beam splitting techniques and optical communications.
机译:本文将涡旋 - Hermite-Cosh-Gaussian梁(VHCHGB)作为涡旋COSH-GASSIS和涡旋Hermite-Gaussian梁的一般形式引入。基于Huy-Gens-Fresnel衍射积分,推导过通过剖视光学系统的VHCHGB的传播公式。传播的VHCHGB的强度图案作为光束顺序的函数的调速,分别的参数(B参数)和拓扑涡电荷用数值结果讨论。结果表明,源平面中的VHCHGB形状在很大程度上取决于偏心参数。在远场中,为小B获得的多瓣型材进化成四花瓣状梁。虽然初始的四瓣型材用于大B的初始四瓣剖面,但变形成多凸起的图案。 VHCHGB根据光束顺序和涡流充电表示特定的强度图案。该研究可能对涉及中空涡流束,光束分离技术和光学通信的梁整形的应用有益。

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