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Nonparaxial propagation of radially polarized light beams

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TLDR
In this paper, the exact expression of the radially polarized light beams, which is valid for the fields to be predicted for an arbitrary transverse beam size, has been derived in closed-form terms for any on-axis point.
Abstract
Starting from the vectorial Rayleigh-Sommerfeld formulas, the nonparaxial propagation of radially polarized light beams in free space is investigated analytically and numerically. The paraxial case can be treated as a special case of the general result. The exact expression of the radially polarized light beams, which is valid for the fields to be predicted for an arbitrary transverse beam size, has been derived in closed-form terms for any on-axis point. The validity of the analytical results is confirmed by the numerical results.

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Citations
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Journal ArticleDOI

Average irradiance and polarization properties of a radially or azimuthally polarized beam in a turbulent atmosphere

TL;DR: Analytical formulas are derived for the average irradiance and the degree of polarization of a radially or azimuthally polarized doughnut beam (PDB) propagating in a turbulent atmosphere by adopting a beam coherence-polarization matrix.
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Birefringence-induced bifocusing for selection of radially or azimuthally polarized laser modes

TL;DR: A round-trip matrix diagonalization method is developed for quantitative description of selection of radially or azimuthally polarized beams by birefringence-induced bifocusing in a simple laser resonator and it is shown that, for the considered laser configuration, theround-trip loss obtained for the radially polarized LG(0,1)* mode is significantly smaller than that of the azimUTHally polarized mode.
Journal ArticleDOI

Coherence and polarization properties of a radially polarized beam with variable spatial coherence

TL;DR: It is found that after passing through a thin lens, both thedegree of coherence and the degree of polarization of a partially coherent RP beam varies on propagation, while the state of polarized of the completely polarized part of such beam remains invariant.
Journal ArticleDOI

Nonparaxial TM and TE beams in free space

TL;DR: Expressions for the fields of TM and TE laser beams in free space that are rigorous solutions to Maxwell's equations are given in a closed form that involve well-known functions, such as spherical Bessel and associated Legendre functions.
Journal ArticleDOI

Nonparaxial propagation of vectorial hollow Gaussian beams

TL;DR: Based on the vectorial Raleigh-Sommerfeld diffraction integral, the nonparaxial propagation of vectorial hollow Gaussian beams (HGBs) in free space is studied in this paper.
References
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Journal ArticleDOI

Novel Optical Trap of Atoms with a Doughnut Beam

TL;DR: In this article, a Laguerre-Gaussian (doughnut) beam whose frequency is blue detuned to the atomic transition was used to trap neutral atoms in the dark core of the doughnut beam with the help of two additional laser beams.
Journal ArticleDOI

Longitudinal Field Modes Probed by Single Molecules

TL;DR: It is demonstrated that a strong longitudinal, nonpropagating field is generated at the focus of a radially polarized beam mode and there is no momentum or energy transport associated with the longitudinal field.
Journal ArticleDOI

Influence of beam polarization on laser cutting efficiency

V G Niziev, +1 more
- 07 Jul 1999 - 
TL;DR: In this paper, the 3D theory of laser cutting is presented and the cutting efficiency determined by its ultimate parameters at different types of polarization is estimated, and the physical reasons for limitations of ultimate cutting parameters at a plane P-polarized beam are displayed.
Journal ArticleDOI

Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters

TL;DR: It is shown that one can in principle generate fields of any integral order P by cascading such elements and devices that generate P = 1 fields are achromatic and can be used as polarization axis finders or as versatile tools for studying birefringent or polarizing materials.
Journal ArticleDOI

Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings.

TL;DR: A novel method for forming radially and azimuthally polarized beams by using computer-generated subwavelength dielectric gratings is presented and it is shown that such beams have certain vortexlike properties and that they carry angular momentum.
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