Abstract

In this work, we demonstrate the possibility of generating and controlling any given kind of structured radially symmetric intensity profile with an embedded optical vortex. This is achieved with the use of Sturm–Liouville theory on a circular domain with Bessel, Laguerre–Gauss, Zernike, and Fourier bases. We show that the core intensity profile can be constructed independently of the topological charge of the vortex.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Spatially engineered polarization states and optical vortices in uniaxial crystals

Tatyana A. Fadeyeva, Vladlen G. Shvedov, Yana V. Izdebskaya, Alexander V. Volyar, Etienne Brasselet, Dragomir N. Neshev, Anton S. Desyatnikov, Wieslaw Krolikowski, and Yuri S. Kivshar
Opt. Express 18(10) 10848-10863 (2010)

Orbital angular momentum of superposition of identical shifted vortex beams

A. A. Kovalev and V. V. Kotlyar
J. Opt. Soc. Am. A 32(10) 1805-1810 (2015)

Phase and interference properties of optical vortex beams

John Vickers, Matt Burch, Reeta Vyas, and Surendra Singh
J. Opt. Soc. Am. A 25(3) 823-827 (2008)

More Recommended Articles

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 (3)

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 (8)

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