Propagation analysis of the Laguerre-Gaussian beam with astigmatism.

The entire range of transformations that a Laguerre-Gaussian (LG) beam with astigmatism can go through in free space is clarified. The transformations are governed by the relative phase between the astigmatic Hermite-Gaussian components. Formulas describing the behavior of this relative phase are obtained and used to classify and map the transformation patterns to initial beam parameters. The difference between an LG beam and a phase singular beam generated by a hologram under astigmatic conditions is also investigated.

[1]  M S Soskin,et al.  Optical vortex symmetry breakdown and decomposition of the orbital angular momentum of light beams. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  R. P. Singh,et al.  Trajectory of an optical vortex: canonical vs. non-canonical , 2003 .

[3]  Miles J. Padgett,et al.  Orbital angular momentum exchange in cylindrical-lens mode converters , 2002 .

[4]  G. Nemeş,et al.  Complete spatial characterization of a pulsed doughnut-type beam by use of spherical optics and a cylindrical lens. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  L. Torner,et al.  Observation of the dynamical inversion of the topological charge of an optical vortex , 2001 .

[6]  Yoko Miyamoto,et al.  Effects of astigmatic aberration in holographic generation of Laguerre-Gaussian beam , 2001, Optical Engineering for Sensing and Nanotechnology.

[7]  Johannes Courtial,et al.  Mode transformations in terms of the constituent Hermite–Gaussian or Laguerre–Gaussian modes and the variable-phase mode converter , 2000 .

[8]  M. Padgett,et al.  Matrix formulation for the propagation of light beams with orbital and spin angular momenta. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Takahiro Kuga,et al.  Novel Optical Trap of Atoms with a Doughnut Beam , 1997 .

[10]  H. Rubinsztein-Dunlop,et al.  Optical angular-momentum transfer to trapped absorbing particles. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[11]  He,et al.  Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. , 1995, Physical review letters.

[12]  Mikhail V. Vasnetsov,et al.  Optics of light beams with screw dislocations , 1993 .

[13]  J. P. Woerdman,et al.  Astigmatic laser mode converters and transfer of orbital angular momentum , 1993 .

[14]  H. Rubinsztein-Dunlop,et al.  Laser beams with phase singularities , 1992 .

[15]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[16]  Andrew G. White,et al.  Generation of optical phase singularities by computer-generated holograms. , 1992, Optics letters.

[17]  E. Abramochkin,et al.  Beam transformations and nontransformed beams , 1991 .

[18]  Herwig Kogelnik,et al.  Laser beams and resonators , 1966 .

[19]  M. Vasnetsov,et al.  Laser beams with screw dislocations in their wavefronts , 2003 .

[20]  Johannes Courtial,et al.  Performance of a cylindrical lens mode converter for producing Laguerre-Gaussian laser modes , 1999 .

[21]  M J Padgett,et al.  Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. , 1997, Optics letters.

[22]  Norman R. Heckenberg,et al.  Optical Particle Trapping with Higher-order Doughnut Beams Produced Using High Efficiency Computer Generated Holograms , 1995 .