Nonparaxial propagation of spirally polarized optical beams.

The free-propagation features of light beams whose transverse electric field lines are logarithmic spirals (namely, spirally polarized beams) are investigated in both the paraxial and the nonparaxial regime. The complete propagated electric field is considered, and some general properties are obtained regardless of the specific transverse distribution. Simple and significant analytical results are obtained when the transverse intensity profile is chosen as that pertinent to an axially symmetric Laguerre-Gaussian beam of order 1 (namely, spirally polarized donut beams). In particular, it is found that for such beams, the propagated longitudinal electric field can be expressed as a simple superposition of elegant Laguerre-Gaussian beams. Numerical results are presented for different values of the beam parameters and are compared with recently obtained experimental results.

[1]  D. Hall,et al.  Free-space azimuthal paraxial wave equation: the azimuthal Bessel-Gauss beam solution. , 1994, Optics letters.

[2]  M. Santarsiero,et al.  Exact axial electromagnetic field for vectorial Gaussian and flattened Gaussian boundary distributions. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  E. Sudarshan,et al.  Gaussian–Maxwell beams , 1986 .

[4]  M. Phillips,et al.  Generation of radially polarized beams with an image-rotating resonator. , 2003, Applied optics.

[5]  A. Janssen,et al.  Extended Nijboer-Zernike representation of the vector field in the focal region of an aberrated high-aperture optical system. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Gerd Leuchs,et al.  The focus of light—linear polarization breaks the rotational symmetry of the focal spot , 2003, physics/0304001.

[7]  Bruno Crosignani,et al.  Vectorial analytical description of propagation of a highly nonparaxial beam , 2002 .

[8]  Anthony A. Tovar,et al.  Production and propagation of cylindrically polarized Laguerre–Gaussian laser beams , 1998 .

[9]  T. Brown,et al.  Cylindrical vector beam focusing through a dielectric interface. , 2001, Optics express.

[10]  Z. Bomzon,et al.  Radially and azimuthally polarized beams generated by space-variant dielectric subwavelength gratings. , 2002, Optics letters.

[11]  S. Seshadri.  Nonparaxial corrections for the fundamental Gaussian beam. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Inon Moshe,et al.  Production of radially or azimuthally polarized beams in solid-state lasers and the elimination of thermally induced birefringence effects. , 2003, Optics letters.

[13]  Girard,et al.  Observation of Light Confinement Effects with a Near-Field Optical Microscope. , 1996, Physical review letters.

[14]  William B. McKnight,et al.  From Maxwell to paraxial wave optics , 1975 .

[15]  S C Tidwell,et al.  Generating radially polarized beams interferometrically. , 1990, Applied optics.

[16]  D. Courjon,et al.  An all-fiber device for generating radially and other polarized light beams , 2002 .

[17]  A. Wünsche.  Transition from the paraxial approximation to exact solutions of the wave equation and application to Gaussian beams , 1992 .

[18]  S C Tidwell,et al.  Efficient radially polarized laser beam generation with a double interferometer. , 1993, Applied optics.

[19]  H. Laabs.  Propagation of Hermite-Gaussian-beams beyond the paraxial approximation , 1998 .

[20]  H. Osterberg,et al.  Closed Solutions of Rayleigh’s Diffraction Integral for Axial Points , 1961 .

[21]  Tony Wilson,et al.  Method for the generation of arbitrary complex vector wave fronts. , 2002, Optics letters.

[22]  E. Zauderer.  Complex argument Hermite–Gaussian and Laguerre–Gaussian beams , 1986 .

[23]  T G Brown,et al.  Longitudinal field modes probed by single molecules. , 2001, Physical review letters.

[24]  G Leuchs,et al.  Sharper focus for a radially polarized light beam. , 2003, Physical review letters.

[25]  F. Gori.  Polarization basis for vortex beams. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[26]  Miles J. Padgett,et al.  IV The Orbital Angular Momentum of Light , 1999 .

[27]  C. Sheppard,et al.  High-aperture beams. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[28]  M Stalder,et al.  Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters. , 1996, Optics letters.