Interferometric measurement of the geometric phase in space-variant polarization manipulations

Abstract We report on an interferometric measurement of the geometric phase in space-variant polarization manipulations. We mathematically show the existence of such a phase and experimentally verify it using a dichroic cylindrical polarizer. A dichroic radial analyzer converts a circularly polarized beam into an azimuthally polarized beam with a spiral geometric phase. A Mach–Zehnder interferometer is used to measure this spiral phase.

[1]  Qiwen Zhan,et al.  Microellipsometer with radial symmetry. , 2002, Applied optics.

[2]  Tomita,et al.  Observation of Berry's topological phase by use of an optical fiber. , 1986, Physical review letters.

[3]  D. Sampson,et al.  Achromatic optical phase shifter-modulator. , 2001, Optics letters.

[4]  Asher A. Friesem,et al.  The formation of laser beams with pure azimuthal or radial polarization , 2000 .

[5]  N. Murakami,et al.  Nulling interferometry by use of geometric phase. , 2001, Optics letters.

[6]  Z. Bomzon,et al.  Formation of radially and azimuthally polarized light using space-variant subwavelength metal stripe gratings , 2001 .

[7]  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.

[8]  F. Gori.  Measuring Stokes parameters by means of a polarization grating. , 1999, Optics letters.

[9]  V. Niziev,et al.  Influence of beam polarization on laser cutting efficiency , 1999 .

[10]  Wu,et al.  Manifestations of Berry's topological phase for the photon. , 1986, Physical review letters.

[11]  Eric Esarey,et al.  LASER-DRIVEN ACCELERATION WITH BESSEL BEAMS , 1997 .

[12]  L. Helseth.  Roles of polarization, phase and amplitude in solid immersion lens systems , 2001, physics/0108064.

[13]  E Hasman,et al.  Pancharatnam--Berry phase in space-variant polarization-state manipulations with subwavelength gratings. , 2001, Optics letters.

[14]  Marco W. Beijersbergen,et al.  Helical-wavefront laser beams produced with a spiral phaseplate , 1994 .

[15]  Application of geometric phase techniques to stellar interferometry. , 1996, Applied optics.

[16]  Y. Waseda,et al.  Optical trapping of microscopic metal particles. , 1994, Optics letters.

[17]  M. Berry.  Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

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

[19]  Novotny,et al.  Orientational imaging of single molecules by annular illumination , 2000, Physical review letters.

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

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

[22]  Asher A. Friesem,et al.  Efficient formation of pure helical laser beams , 2000 .

[23]  R. Dorn,et al.  The focus of light – theoretical calculation and experimental tomographic reconstruction , 2001 .

[24]  Dieter W. Pohl,et al.  Operation of a Ruby Laser in the Purely Transverse Electric Mode TE01 , 1972 .

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

[26]  Duncan A. Robertson,et al.  Rotational frequency shift of a light beam , 1998 .

[27]  Kathleen S. Youngworth,et al.  Focusing of high numerical aperture cylindrical-vector beams. , 2000, Optics express.

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

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

[30]  Gerd Leuchs,et al.  Focusing light to a tighter spot , 2000 .

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