Abstract

We study the nonparaxial diffraction of a Gaussian vortex beam with initial radial polarization and an arbitrary integer topological charge n. Analytical relationships for the radial, azimuthal, and longitudinal components of the E-vector are deduced. At n=0, the azimuthal component of the field equals zero, with the radial and axial components becoming coincident with the relationships reported in [J. Opt. Soc. Am. A 26, 1366 (2009) ]. At any n>1, the vortex beam intensity on the optical axis equals zero, whereas at n=1 (1) an intensity peak is found in the focus. Explicit analytical relationships for a Gaussian vortex beam with initial elliptical polarization are also derived. Relationships that describe the nonparaxial radially polarized Gaussian beam are deduced as a linear combination of the Gaussian vortex beams with n=1 (1) and left- and right-hand circular polarization.

© 2010 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Subwavelength micropolarizer in a gold film for visible light

Victor V. Kotlyar, Sergey S. Stafeev, Maria V. Kotlyar, Anton G. Nalimov, and Liam O’ Faolain
Appl. Opt. 55(19) 5025-5032 (2016)

Spherical and sub-wavelength longitudinal magnetization generated by 4π tightly focusing radially polarized vortex beams

Zhongquan Nie, Weiqiang Ding, Dongyu Li, Xueru Zhang, Yuxiao Wang, and Yinglin Song
Opt. Express 23(2) 690-701 (2015)

Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate

Victor V. Kotlyar, Henna Elfstrom, Jari Turunen, Anton A. Almazov, Svetlana N. Khonina, and Victor A. Soifer
J. Opt. Soc. Am. A 22(5) 849-861 (2005)

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 (4)

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 (46)

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