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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 16 — Jul. 30, 2012
  • pp: 17684–17694

Nonparaxial and paraxial focusing of azimuthal-variant vector beams

Bing Gu and Yiping Cui  »View Author Affiliations

Optics Express, Vol. 20, Issue 16, pp. 17684-17694 (2012)

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Based on the vectorial Rayleigh-Sommerfeld formulas under the weak nonparaxial approximation, we investigate the propagation behavior of a lowest-order Laguerre-Gaussian beam with azimuthal-variant states of polarization. We present the analytical expressions for the radial, azimuthal, and longitudinal components of the electric field with an arbitrary integer topological charge m focused by a nonaperturing thin lens. We illustrate the three-dimensional optical intensities, energy flux distributions, beam waists, and focal shifts of the focused azimuthal-variant vector beams under the nonparaxial and paraxial approximations.

© 2012 OSA

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(260.5430) Physical optics : Polarization
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

Original Manuscript: May 9, 2012
Revised Manuscript: July 1, 2012
Manuscript Accepted: July 1, 2012
Published: July 19, 2012

Bing Gu and Yiping Cui, "Nonparaxial and paraxial focusing of azimuthal-variant vector beams," Opt. Express 20, 17684-17694 (2012)

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