Hebri Davud, Rasouli Saifollah, Ponomarenko Sergey
J Opt Soc Am A Opt Image Sci Vis. 2024 Feb 1;41(2):338-348. doi: 10.1364/JOSAA.510096.
We explore two distinct families of orbital angular momentum carrying light beams, which we refer to as generalized elliptical Gaussian and elegant elliptical Hermite-Gaussian vortex beams, respectively. We show that the fields of the two vortex families are related via a Fourier transform. Hence, one family can be viewed as a source of the far-field intensity distribution of the other and vice versa. We also examine the orbital angular momentum evolution of both beam families on their free space propagation and establish a relationship between the orbital angular momentum, TC, and beam ellipticity factors. Our results may find applications to optical communications and imaging with structured light.
我们探索了两类不同的携带轨道角动量的光束，分别将其称为广义椭圆高斯光束和优美椭圆厄米 - 高斯涡旋光束。我们表明这两类涡旋光束的场通过傅里叶变换相关联。因此，其中一类光束可被视为另一类光束远场强度分布的源，反之亦然。我们还研究了这两类光束在自由空间传播时的轨道角动量演化，并建立了轨道角动量、TC与光束椭圆率因子之间的关系。我们的结果可能在光通信和结构化光成像中得到应用。
