Angular scattering of light by a homogeneous spherical particle in a zeroth-order Bessel beam and its relationship to plane wave scattering.

The angular scattering of light from a homogeneous spherical particle in a zeroth-order Bessel beam is calculated using a generalized Lorenz-Mie theory. We investigate the dependence of the angular scattering on the semi-apex angle of the Bessel beam and discuss the major features of the resulting scattering plots. We also compare Bessel beam scattering to plane wave scattering and provide criterion for when the difference between the two cases can be considered negligible. Finally, we discuss a method for characterizing spherical particles using angular light scattering. This work is useful to researchers who are interested in characterizing particles trapped in optical beams using angular dependent light scattering measurements.

[1]  G. Mie.  Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .

[2]  F. Mitri.  Arbitrary scattering of an electromagnetic zero-order Bessel beam by a dielectric sphere. , 2011, Optics letters.

[3]  Andrew J Orr-Ewing,et al.  Measurements of the evaporation and hygroscopic response of single fine-mode aerosol particles using a Bessel beam optical trap. , 2014, Physical chemistry chemical physics : PCCP.

[4]  J. Reid,et al.  Manipulation and characterisation of accumulation and coarse mode aerosol particles using a Bessel beam trap. , 2009, Physical chemistry chemical physics : PCCP.

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

[6]  Jonathan P. Reid,et al.  Size-dependent position of a single aerosol droplet in a Bessel beam trap , 2014 .

[7]  J. P. Barton,et al.  Internal and near‐surface electromagnetic fields for a spherical particle irradiated by a focused laser beam , 1988 .

[8]  Scattering of Bessel beam by arbitrarily shaped composite particles with core–shell structure , 2014 .

[9]  Ruth Signorell,et al.  Timescales of water transport in viscous aerosol: measurements on sub-micron particles and dependence on conditioning history. , 2014, Physical chemistry chemical physics : PCCP.

[10]  Gérard Gouesbet,et al.  Generalized Lorenz–Mie theory and applications , 2009 .

[11]  Kishan Dholakia,et al.  Brownian particle in an optical potential of the washboard type. , 2003, Physical review letters.

[12]  Zhensen Wu,et al.  Electromagnetic scattering by a uniaxial anisotropic sphere located in an off-axis Bessel beam. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Pavel Zemánek,et al.  Transverse particle dynamics in a Bessel beam. , 2007, Optics express.

[14]  Thomas A. Klar,et al.  Surface-Plasmon Resonances in Single Metallic Nanoparticles , 1998 .

[15]  J. P. Barton,et al.  Internal fields of a spherical particle illuminated by a tightly focused laser beam: Focal point positioning effects at resonance , 1989 .

[16]  J. Stewart Aitchison,et al.  Three-dimensional array of dielectric spheres with an isotropic negative permeability at infrared frequencies , 2005 .

[17]  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.

[18]  Gérard Gréhan,et al.  Generalized Lorenz–Mie theories and description of electromagnetic arbitrary shaped beams: Localized approximations and localized beam models, a review , 2011 .

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

[20]  J. Reid,et al.  Longitudinal optical trapping and sizing of aerosol droplets. , 2010, Optics express.

[21]  Scattering of an axicon-generated Bessel beam by a sphere , 2013 .

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

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

[24]  Paul Mulvaney,et al.  Effect of the Solution Refractive Index on the Color of Gold Colloids , 1994 .

[25]  G. Gouesbet.  Generalized Lorenz-Mie theory and applications , 1994 .

[26]  K. L. Kliewer,et al.  Optical Modes of Vibration in an Ionic Crystal Sphere , 1968 .

[27]  Arthur Ashkin,et al.  Observation of Resonances in the Radiation Pressure on Dielectric Spheres , 1977 .

[28]  Gérard Gouesbet,et al.  Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams , 1994 .

[29]  Andrew J Orr-Ewing,et al.  Selection and characterization of aerosol particle size using a bessel beam optical trap for single particle analysis. , 2012, Physical chemistry chemical physics : PCCP.

[30]  P. Barber.  Absorption and scattering of light by small particles , 1984 .

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

[32]  Andrew J Orr-Ewing,et al.  Deviations from plane-wave Mie scattering and precise retrieval of refractive index for a single spherical particle in an optical cavity. , 2014, The journal of physical chemistry. A.

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

[34]  H. Hernández-Figueroa,et al.  Integral localized approximation description of ordinary Bessel beams and application to optical trapping forces , 2011, Biomedical optics express.

[35]  Alan L. Huston,et al.  High-precision identification of morphology-dependent resonances in optical processes in microdroplets , 1993 .

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

[37]  J. Reid,et al.  Accurate and efficient determination of the radius, refractive index, and dispersion of weakly absorbing spherical particle using whispering gallery modes , 2013 .

[38]  F. Mitri,et al.  Electromagnetic Wave Scattering of a High-Order Bessel Vortex Beam by a Dielectric Sphere , 2011, IEEE Transactions on Antennas and Propagation.

[39]  Gérard Gréhan,et al.  Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation , 1988 .