Abstract

The orbital angular momentum (OAM) and paraxial propagation characteristics of non-coaxial Laguerre–Gaussian (LG) beams are discussed. In the initial plane, the amplitudes of non-coaxial LG modes are the product of a Laguerre polynomial, a vortex phase factor, and a non-coaxial Gaussian window function. Because of displacement between the centroid and vortex center of the beams, the non-coaxial LG beams demonstrate a non-zero extrinsic OAM, which causes the propagation of beam centroid to have a small tilt angle relative to the z axis. Through separating the extrinsic OAM from the total OAM carried by the non-coaxial LG beams, the tilt angle and trajectory of the beam centroid are derived. Furthermore, the paraxial propagating characteristics of these beams are also discussed analytically. The results show the vortex center initially at origin demonstrates a linear lateral shift with propagation and the peak of transverse intensity has a trajectory of a straight line, although the intensity profile rotates itself with propagation.

© 2016 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Changes in orbital-angular-momentum modes of a propagated vortex Gaussian beam through weak-to-strong atmospheric turbulence

Chunyi Chen, Huamin Yang, Shoufeng Tong, and Yan Lou
Opt. Express 24(7) 6959-6975 (2016)

Intrinsic orbital angular momentum of paraxial beams with off-axis imprinted vortices

S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman
J. Opt. Soc. Am. A 21(11) 2089-2096 (2004)

Twisted Laguerre-Gaussian Schell-model beam and its orbital angular moment

Xiaofeng Peng, Lin Liu, Fei Wang, Sergei Popov, and Yangjian Cai
Opt. Express 26(26) 33956-33969 (2018)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (40)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription