Slowing of Bessel light beam group velocity

Abstract Bessel light beams experience diffraction-limited propagation. A different basic spatial property of a Bessel beam is reported and investigated. It is shown a Bessel beam is a natural waveguide causing its group velocity can be subluminal (slower than the speed of light) when the optical frequency ω approaches a critical frequency ω c . A free space dispersion relation for a Bessel beam, the dependence of its wave number on its angular frequency, is developed from which the Bessel beam's subluminal group velocity is derived. It is shown under reasonable laboratory conditions that a Bessel light beam has associated parameters that allow slowing near a critical frequency. The application of Bessel beams with 1 µm spot size to slow down 100 ps to 200 ps over 1 cm length for a natural optical buffer in free space is presented.

[1]  A. Rohrbach,et al.  Microscopy with self-reconstructing beams , 2010 .

[2]  Kishan Dholakia,et al.  Light beats the spread: “non‐diffracting” beams , 2010 .

[3]  S. Barnett,et al.  Polarization and image rotation induced by a rotating dielectric rod: an optical angular momentum interpretation. , 2006, Optics letters.

[4]  M. Davidson,et al.  Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination , 2011, Nature Methods.

[5]  David G Grier,et al.  Optical conveyors: a class of active tractor beams. , 2012, Physical review letters.

[6]  S. Hell,et al.  Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy. , 1994, Optics letters.

[7]  S. Hell.  Far-Field Optical Nanoscopy , 2007, Science.

[8]  Guifang Li,et al.  Space-division multiplexing: the next frontier in optical communication , 2014 .

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

[10]  R R Alfano,et al.  Double-slit interference with Laguerre-Gaussian beams. , 2006, Optics letters.

[11]  R. Boyd,et al.  Rotary Photon Drag Enhanced by a Slow-Light Medium , 2011, Science.

[12]  A Dogariu,et al.  Negative nonconservative forces: optical "tractor beams" for arbitrary objects. , 2011, Physical review letters.

[13]  L. Nelson,et al.  Space-division multiplexing in optical fibres , 2013, Nature Photonics.

[14]  Max Born,et al.  Principles of optics - electromagnetic theory of propagation, interference and diffraction of light (7. ed.) , 1999 .

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

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

[17]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.

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

[19]  S. Barnett,et al.  Spatially structured photons that travel in free space slower than the speed of light , 2014, Science.