Experimental and theoretical determination of optical binding forces.

We present an experimental and theoretical study of long distance optical binding effects acting upon micro-particles placed in a standing wave optical field. In particular we present for the first time quantitatively the binding forces between individual particles for varying inter-particle separations, polarizations and incident angles of the binding beam. Our quantitative experimental data and numerical simulations show that these effects are essentially enhanced due to the presence of a reflective surface in a sample chamber. They also reveal conditions to form stable optically bound clusters of two and three particles in this geometry. We also show that the inter-particle separation in the formed clusters can be controlled by altering the angle of the beam incident upon the sample plane. This demonstrates new perspectives for the generation and control of optically bound soft matter and may be useful to understand various inter-particle effects in the presence of reflective surfaces.

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

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

[3]  Pavel Zemánek,et al.  Colloquium: Gripped by light: Optical binding , 2010 .

[4]  Christopher D. Mellor,et al.  Array formation in evanescent waves. , 2006, Chemphyschem : a European journal of chemical physics and physical chemistry.

[5]  G. Love,et al.  Optical binding mechanisms: a conceptual model for Gaussian beam traps. , 2009, Optics express.

[6]  Christopher D. Mellor,et al.  Polarization effects in optically bound particle arrays. , 2006, Optics express.

[7]  Kishan Dholakia,et al.  Theory and simulation of the bistable behaviour of optically bound particles in the Mie size regime , 2006 .

[8]  K Dholakia,et al.  Optically bound microscopic particles in one dimension. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Localized vibrational modes in optically bound structures. , 2006, Optics letters.

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

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

[12]  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.

[13]  Tomáš Čižmár,et al.  Multiple optical trapping and binding: new routes to self-assembly , 2010 .

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

[15]  Juan José Sáenz,et al.  Unusually strong optical interactions between particles in quasi-one-dimensional geometries. , 2004, Physical review letters.

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

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

[18]  M. Nieto-Vesperinas,et al.  Near-field photonic forces , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[19]  E. Wright,et al.  Nonlinear optical response of colloidal suspensions. , 2009, Optics express.

[20]  Kishan Dholakia,et al.  Extended-area optically induced organization of microparticles on a surface , 2005 .

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

[22]  K. Svoboda,et al.  Biological applications of optical forces. , 1994, Annual review of biophysics and biomolecular structure.

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

[24]  Petr Jákl,et al.  Sub-micron particle delivery using evanescent field , 2005, SPIE Optics + Optoelectronics.

[25]  David L. Andrews,et al.  Electrodynamic mechanism and array stability in optical binding , 2008 .

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

[27]  M. Nieto-Vesperinas,et al.  Optical trapping and manipulation of nano-objects with an apertureless probe. , 2002, Physical review letters.

[28]  Samarendra Mohanty,et al.  Optical binding between dielectric particles. , 2004, Optics express.

[29]  Kishan Dholakia,et al.  Extended organization of colloidal microparticles by surface plasmon polariton excitation , 2006 .

[30]  Romain Quidant,et al.  Enhanced optical forces between coupled resonant metal nanoparticles. , 2007, Optics letters.

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

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

[33]  Pavel Zemánek,et al.  Analytical description of longitudinal optical binding of two spherical nanoparticles , 2007 .

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

[35]  S. Block,et al.  Construction of multiple-beam optical traps with nanometer-resolution position sensing , 1996 .

[36]  M Mazilu,et al.  Measurement of the restoring forces acting on two optically bound particles from normal mode correlations. , 2007, Physical review letters.

[37]  Tomáš Čižmár,et al.  A dual beam photonic crystal fiber trap for microscopic particles , 2008 .

[38]  N. K. Metzger,et al.  Observation of bistability and hysteresis in optical binding of two dielectric spheres. , 2006, Physical review letters.

[39]  J. Vigoureux,et al.  Optical binding force between two Rayleigh particles , 1994 .

[40]  Alfons G. Hoekstra,et al.  The discrete dipole approximation: an overview and recent developments , 2007 .

[41]  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.

[42]  Ping Sheng,et al.  Photonic clusters formed by dielectric microspheres : Numerical simulations , 2005, cond-mat/0501733.

[43]  Brian Stout,et al.  Longitudinal optical binding of high optical contrast microdroplets in air. , 2006, Physical review letters.

[44]  K Dholakia,et al.  Experimental observation of modulation instability and optical spatial soliton arrays in soft condensed matter. , 2007, Physical review letters.

[45]  J M Taylor,et al.  Emergent properties in optically bound matter. , 2008, Optics express.

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