LINEAR MOMENTUM DENSITY OF A GENERAL LORENTZ-GAUSS VORTEX BEAM IN FREE SPACE | Zendy

Yiqing Xu | Zendy; Guoquan Zhou | Zendy

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LINEAR MOMENTUM DENSITY OF A GENERAL LORENTZ-GAUSS VORTEX BEAM IN FREE SPACE

Author(s) -

Yiqing Xu,

Guoquan Zhou

Publication year - 2014

Publication title -

progress in electromagnetics research b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 47

ISSN - 1937-6472

DOI - 10.2528/pierb14022101

Subject(s) - physics , lorentz transformation , momentum (technical analysis) , position and momentum space , vortex , classical mechanics , lorentz factor , gaussian , quantum electrodynamics , quantum mechanics , mechanics , finance , economics

Based on the Collins integral, an analytical expression of a general Lorentz-Gauss vortex beam propagating in free space is derived, which allows one to calculate the linear momentum density of a general Lorentz-Gauss vortex beam in free space. The linear momentum density distribution of a general Lorentz-Gauss vortex beam propagating in free space is graphically demonstrated. The x- and y-components of the linear momentum density are composed of two lobes with the equivalent area and the opposite sign. Therefore, the overall x- and y-components of the linear momentum in an arbitrary reference plane are equal to zero. The longitudinal component of the linear momentum density is proportional to the intensity distribution. The in∞uences of the Gaussian waist, the width parameters of the Lorentzian part, the axial propagation distance, and the topological charge on the linear momentum density distribution of a general Lorentz-Gauss vortex beam in free space are examined in detail.

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