Quasi-Bessel beam generated by oblate-tip axicon

We focused here on the real shape of the tip of the axicon - which is not sharp but rather oblate. We simulated numerically and verified experimentally that tiny deviations of the tip shape from the ideal sharp profile induce significant oscillations of the beam intensity along its propagation. Such unwanted intensity modulation disturbs the unique properties of the quasi-Bessel beam - constant shape of the lateral intensity profile and especially slow variation of the on-axis intensity along the beam propagation. We demonstrate how the spatial filtration of the beam in the Fourier plane removes such undesired modulation and restores the properties of the quasi-Bessel beam.

[1]  P. Chanclou,et al.  Propagation and diffraction of truncated Gaussian beams , 2001 .

[2]  Simple and rigorous analytical expression of the propagating field behind an axicon illuminated by an azimuthally polarized beam. , 2007, Applied optics.

[3]  Guy Indebetouw,et al.  Nondiffracting optical fields: some remarks on their analysis and synthesis , 1989 .

[4]  Pavel Zemánek,et al.  Formation of long and thin polymer fiber using nondiffracting beam. , 2006, Optics express.

[5]  Kishan Dholakia,et al.  Femtosecond cellular transfection using a nondiffracting light beam , 2007 .

[6]  P. Zemánek,et al.  Long-range one-dimensional longitudinal optical binding. , 2008, Physical review letters.

[7]  Characterization and modelling of the hollow beam produced by a real conical lens , 2002, physics/0207088.

[8]  J. P. Campbell,et al.  Near Fields of Truncated-Gaussian Apertures* , 1969 .

[9]  Sedukhin Marginal phase correction of truncated Bessel beams , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  J. Durnin Exact solutions for nondiffracting beams. I. The scalar theory , 1987 .

[11]  V. Jarutis,et al.  Focusing of Laguerre–Gaussian beams by axicon , 2000 .

[12]  Ling Wang,et al.  Vector propagation of radially polarized Gaussian beams diffracted by an axicon. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  C. Zapata-Rodriguez,et al.  Three-dimensional field distribution in the focal region of low-Fresnel-number axicons. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  Kishan Dholakia,et al.  Optical levitation in a Bessel light beam , 2004 .

[15]  Kishan Dholakia,et al.  Atom guiding along Laguerre-Gaussian and Bessel light beams , 2000 .

[16]  Y. Zhang Analytical expression for the diffraction field of an axicon using the ray-tracing and interference method , 2008 .

[17]  Tomáš Čižmár,et al.  Sub-micron particle organization by self-imaging of non-diffracting beams , 2006 .

[18]  Chang-Qing Xu,et al.  A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals , 1997 .

[19]  W. M. Lee,et al.  Dynamic optical manipulation with a higher-order fractional bessel beam generated from a spatial light modulator. , 2003, Optics letters.

[20]  W. Sibbett,et al.  Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam , 2002, Nature.

[21]  Sprangle,et al.  Comment on nondiffracting beams. , 1991, Physical Review Letters.

[22]  J. Goodman Introduction to Fourier optics , 1969 .

[23]  Jun Amako,et al.  Microstructuring transparent materials by use of nondiffracting ultrashort pulse beams generated by diffractive optics , 2003 .

[24]  Miceli,et al.  Diffraction-free beams. , 1987, Physical review letters.

[25]  J Turunen,et al.  Realization of general nondiffracting beams with computer-generated holograms. , 1989, Journal of the Optical Society of America. A, Optics and image science.

[26]  T. A. Wiggins,et al.  Production and uses of diffractionless beams , 1991 .

[27]  Oto Brzobohatý,et al.  High quality quasi-Bessel beam generated by round-tip axicon. , 2008, Optics express.

[28]  J. Hecker Denschlag,et al.  Long distance transport of ultracold atoms using a 1D optical lattice , 2006, cond-mat/0605736.

[29]  Ming Lei,et al.  Characteristics of beam profile of Gaussian beam passing through an axicon , 2004 .

[30]  Daomu Zhao,et al.  Calculation of the vectorial field distribution of an axicon illuminated by a linearly polarized Guassian beam , 2006 .

[31]  Xiang Peng,et al.  Microfabricated-composite-hologram-enabled multiple channel longitudinal optical guiding of microparticles in nondiffracting core of a Bessel beam array , 2005 .

[32]  Kishan Dholakia,et al.  EFFICIENCY OF SECOND-HARMONIC GENERATION WITH BESSEL BEAMS , 1999 .

[33]  E. Wright,et al.  Enhanced optical guiding of colloidal particles using a supercontinuum light source. , 2006, Optics express.

[34]  A E Martirosyan,et al.  Fringe pattern of the field diffracted by axicons. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[35]  K. Dholakia,et al.  Bessel beams: Diffraction in a new light , 2005 .

[36]  Tomáš Čižmár,et al.  Optical conveyor belt for delivery of submicron objects , 2005 .

[37]  Kishan Dholakia,et al.  Generation of high-order Bessel beams by use of an axicon , 2000 .

[38]  M. R. Lapointe,et al.  Review of non-diffracting Bessel beam experiments , 1992 .

[39]  J. Mcleod The Axicon: A New Type of Optical Element , 1954 .

[40]  Zhihua Ding,et al.  High-resolution optical coherence tomography over a large depth range with an axicon lens. , 2002, Optics letters.

[41]  M. Šiler,et al.  An optical nanotrap array movable over a milimetre range , 2006 .