Modelling of optical trapping

After more than thirty years after Arthur Ashkin's pioneering experiments the optical trapping is a widely established technique of the modern science. Its applications cover wide range of physics, chemistry and biology. In many of these applications the irregular, inhomogeneous or ensembles of many particles are exposed to the light fields where such particles could be stably confined. In this paper we will present results of several numerical methods that describe optical forces acting on particles placed in the non-diffracting Bessel Beam.

[1]  M. Nieto-Vesperinas,et al.  Time-averaged total force on a dipolar sphere in an electromagnetic field. , 2000, Optics letters.

[2]  Pavel Zemánek,et al.  Theoretical comparison of optical traps created by standing wave and single beam , 2003 .

[3]  Balpreet Singh Ahluwalia,et al.  Generation of self-imaged optical bottle beams , 2004 .

[4]  Jani Tervo,et al.  Exact self-imaging of transversely periodic fields. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  S. Chu,et al.  Observation of a single-beam gradient force optical trap for dielectric particles. , 1986, Optics letters.

[6]  Bruce T. Draine,et al.  The discrete-dipole approximation and its application to interstellar graphite grains , 1988 .

[7]  A G Hoekstra,et al.  Radiation forces in the discrete-dipole approximation. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  Pavel Zemánek,et al.  Analysis of optical binding in one dimension , 2006 .

[9]  M. Meneses-Nava,et al.  Interference of traveling nondiffracting beams. , 1998, Optics letters.

[10]  Jonathan M. Taylor,et al.  Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  A. Ashkin Acceleration and trapping of particles by radiation pressure , 1970 .

[12]  M. Šiler,et al.  Optical forces generated by evanescent standing waves and their usage for sub-micron particle delivery , 2006 .

[13]  K. Dholakia,et al.  Interfering Bessel beams for optical micromanipulation. , 2003, Optics letters.

[14]  Burns,et al.  Optical binding. , 1989, Physical review letters.

[15]  Z. Bouchal,et al.  Controllable 3D spatial localization of light fields synthesized by non-diffracting modes , 2004 .

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

[17]  Tomáš Čižmár,et al.  Surface delivery of a single nanoparticle under moving evanescent standing-wave illumination , 2008 .

[18]  Y L Xu,et al.  Electromagnetic scattering by an aggregate of spheres. , 1995, Applied optics.

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

[20]  Wolfgang Singer,et al.  Self-organized array of regularly spaced microbeads in a fiber-optical trap , 2003 .

[21]  B. Draine,et al.  Application of fast-Fourier-transform techniques to the discrete-dipole approximation. , 1991, Optics letters.

[22]  Steven M Block,et al.  Resource Letter: LBOT-1: Laser-based optical tweezers. , 2003, American journal of physics.

[23]  P Zem Analytical description of longitudinal optical binding of two spherical nanoparticles , 2007 .

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

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

[26]  E. Purcell,et al.  Scattering and Absorption of Light by Nonspherical Dielectric Grains , 1973 .

[27]  Zdeněk Bouchal,et al.  Propagation-invariant electromagnetic fields: theory and experiment , 1996 .

[28]  Martin Siler,et al.  Optical sorting and detection of submicrometer objects in a motional standing wave , 2006 .

[29]  P. C. Chaumet,et al.  Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate , 2000, physics/0305042.

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

[31]  Pavel Zemánek,et al.  Parametric study of optical forces acting upon nanoparticles in a single, or a standing, evanescent wave , 2011 .

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

[33]  F.N.H. Robinson,et al.  Electromagnetic stress and momentum in matter , 1975 .

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

[35]  P. Zemánek,et al.  Optical trapping of nanoparticles and microparticles by a Gaussian standing wave. , 1999, Optics letters.

[36]  J. P. Barton,et al.  Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam , 1989 .

[37]  H. Rubinsztein-Dunlop,et al.  Optical measurement of microscopic torques , 2003 .

[38]  P. C. Chaumet,et al.  Optical binding of particles with or without the presence of a flat dielectric surface , 2001, physics/0305045.

[39]  P. Chaumet,et al.  Coupled dipole method to compute optical torque: Application to a micropropeller , 2007 .

[40]  Oto Brzobohatý,et al.  Longitudinal optical binding of several spherical particles studied by the coupled dipole method , 2009 .

[41]  E. H. Linfoot Principles of Optics , 1961 .

[42]  J. Golovchenko,et al.  Optical Matter: Crystallization and Binding in Intense Optical Fields , 1990, Science.

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

[44]  Pavel Zemanek,et al.  Optical trapping in counter-propagating Bessel beams , 2004, SPIE Optics + Photonics.

[45]  Z. Bouchal Resistance of nondiffracting vortex beam against amplitude and phase perturbations , 2002 .

[46]  Z. Bouchal,et al.  Self-reconstruction of a distorted nondiffracting beam , 1998 .

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

[48]  Arthur Ashkin,et al.  Optical Trapping and Manipulation of Neutral Particles Using Lasers , 1999 .

[49]  Michael W. Berns,et al.  Laser manipulation of cells and tissues , 2007 .

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

[51]  Norman R. Heckenberg,et al.  Optical tweezers computational toolbox , 2007 .

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

[53]  Pavel Zemánek,et al.  Light at work: The use of optical forces for particle manipulation, sorting, and analysis , 2008, Electrophoresis.

[54]  K. Dholakia,et al.  One-dimensional optically bound arrays of microscopic particles. , 2002, Physical review letters.