Abstract
We study elliptical vortex Hermite–Gaussian (vHG) beams, which are described by the complex amplitude proportional to the th-order Hermite polynomial whose argument is a function of a real parameter . At , on the vertical axis of the beam cross section, there are isolated optical nulls that produce optical vortices with topological charge or . At , similar isolated optical nulls of the vHG beams are found on the horizontal axis. At , the vHG beam becomes identical to the HG mode of the order . We derive the orbital angular momentum (OAM) of the vHG beams, which depends on the parameter and an ellipticity parameter of the Gaussian beam. The derived equation allows the transverse intensity of the vHG-beam to be changed without changing its OAM. The experimental and theoretical results are in good agreement.
© 2015 Optical Society of America
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