Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel nondiffracting (vortex) beams with arbitrary incidence and selective polarizations
Abstract
A complete description of vector Bessel (vortex) beams in the context of the generalized Lorenz–Mie theory (GLMT) for the electromagnetic (EM) resonance scattering by a dielectric sphere is presented, using the method of separation of variables and the subtraction of a nonresonant background (corresponding to a perfectly conducting sphere of the same size) from the standard Mie scattering coefficients. Unlike the conventional results of standard optical radiation, the resonance scattering of a dielectric sphere in air in the field of EM Bessel beams is examined and demonstrated with particular emphasis on the EM field’s polarization and beam order (or topological charge). Linear, circular, radial, azimuthal polarizations as well as unpolarized Bessel vortex beams are considered. The conditions required for the resonance scattering are analyzed, stemming from the vectorial description of the EM field using the angular spectrum decomposition, the derivation of the beamshape coefficients (BSCs) using the integral localized approximation (ILA) and Neumann–Graf’s addition theorem, and the determination of the scattering coefficients of the sphere using Debye series. In contrast with the standard scattering theory, the resonance method presented here allows the quantitative description of the scattering using Debye series by separating diffraction effects from the external and internal reflectionsmore »
 Authors:
 Chevron, Area 52 Technology–ETC, 5 Bisbee Ct., Santa Fe, NM 87508 (United States)
 School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071 (China)
 (China)
 Publication Date:
 OSTI Identifier:
 22451233
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 361; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BESSEL FUNCTIONS; ELECTROMAGNETIC RADIATION; LASERS; POLARIZATION; QUANTUM OPTICS; RESONANCE SCATTERING; SPECTROSCOPY
Citation Formats
Mitri, F.G., Email: F.G.Mitri@ieee.org, Li, R.X., Email: rxli@mail.xidian.edu.cn, Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, Guo, L.X., Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, and Ding, C.Y.. Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel nondiffracting (vortex) beams with arbitrary incidence and selective polarizations. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.06.004.
Mitri, F.G., Email: F.G.Mitri@ieee.org, Li, R.X., Email: rxli@mail.xidian.edu.cn, Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, Guo, L.X., Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, & Ding, C.Y.. Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel nondiffracting (vortex) beams with arbitrary incidence and selective polarizations. United States. doi:10.1016/J.AOP.2015.06.004.
Mitri, F.G., Email: F.G.Mitri@ieee.org, Li, R.X., Email: rxli@mail.xidian.edu.cn, Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, Guo, L.X., Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071, and Ding, C.Y.. 2015.
"Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel nondiffracting (vortex) beams with arbitrary incidence and selective polarizations". United States.
doi:10.1016/J.AOP.2015.06.004.
@article{osti_22451233,
title = {Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel nondiffracting (vortex) beams with arbitrary incidence and selective polarizations},
author = {Mitri, F.G., Email: F.G.Mitri@ieee.org and Li, R.X., Email: rxli@mail.xidian.edu.cn and Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071 and Guo, L.X. and Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi’an 710071 and Ding, C.Y.},
abstractNote = {A complete description of vector Bessel (vortex) beams in the context of the generalized Lorenz–Mie theory (GLMT) for the electromagnetic (EM) resonance scattering by a dielectric sphere is presented, using the method of separation of variables and the subtraction of a nonresonant background (corresponding to a perfectly conducting sphere of the same size) from the standard Mie scattering coefficients. Unlike the conventional results of standard optical radiation, the resonance scattering of a dielectric sphere in air in the field of EM Bessel beams is examined and demonstrated with particular emphasis on the EM field’s polarization and beam order (or topological charge). Linear, circular, radial, azimuthal polarizations as well as unpolarized Bessel vortex beams are considered. The conditions required for the resonance scattering are analyzed, stemming from the vectorial description of the EM field using the angular spectrum decomposition, the derivation of the beamshape coefficients (BSCs) using the integral localized approximation (ILA) and Neumann–Graf’s addition theorem, and the determination of the scattering coefficients of the sphere using Debye series. In contrast with the standard scattering theory, the resonance method presented here allows the quantitative description of the scattering using Debye series by separating diffraction effects from the external and internal reflections from the sphere. Furthermore, the analysis is extended to include rainbow formation in Bessel beams and the derivation of a generalized formula for the deviation angle of highorder rainbows. Potential applications for this analysis include Bessel beambased laser imaging spectroscopy, atom cooling and quantum optics, electromagnetic instrumentation and profilometry, optical tweezers and tractor beams, to name a few emerging areas of research.},
doi = {10.1016/J.AOP.2015.06.004},
journal = {Annals of Physics},
number = ,
volume = 361,
place = {United States},
year = 2015,
month =
}

The resonant structure of Mie scattering has become an important research tool in the study of the interactions between laser beams and small particles. Elastic scattering, fluorescence, stimulated Raman scattering, and laserinduced ionization and breakdown are just a few of the phenomena that have recently been investigated with the Mie scattering resonance structure. In this work, the authors consider the scattering of light by a spherical particle illuminated by two counterpropagating plane waves. Destructive and constructive interference of the two incident fields modifies the resonance contribution to the scattered and internal fields. The resonance contribution can vary between zero andmore »

Femtosecond laser fabrication of micro and nanodisks in single layer graphene using vortex Bessel beams
We report the fabrication of micro and nanodisks in single layer chemical vapor deposition graphene on glass substrate using femtosecond laser ablation with vortex Bessel beams. The fabricated graphene disks with diameters ranging from 650 nm to 4 μm were characterized by spatially resolved microRaman spectroscopy. The variation of ablation threshold was investigated as a function of the number of pulses showing an incubation effect. A very high degree of size control of the fabricated graphene disks is enabled using a sequence of femtosecond pulses with different vortex orders. 
Control of the formation of vortex Bessel beams in uniaxial crystals by varying the beam divergence
The transformation of zeroorder Bessel beams into a secondorder vortex Bessel beam in CaCO3 and LiNbO3 crystals is experimentally studied, and a possibility of controlling the beam transformation by changing the wavefront curvature of the illuminating beam is shown. A quasiperiodic nature of the Bessel beam transformation in a crystal while illuminating the diffraction axicon by a convergent beam is observed (laser beams) 
An optical tweezer in asymmetrical vortex BesselGaussian beams
We study an optical micromanipulation that comprises trapping, rotating, and transporting 5μm polystyrene microbeads in asymmetric BesselGaussian (BG) laser beams. The beams that carry orbital angular momentum are generated by means of a liquid crystal microdisplay and focused by a microobjective with a numerical aperture of NA = 0.85. We experimentally show that given a constant topological charge, the rate of microparticle motion increases near linearly with increasing asymmetry of the BG beam. Asymmetric BG beams can be used instead of conventional Gaussian beam for trapping and transferring live cells without thermal damage. 
Acoustic scattering of a highorder Bessel beam by an elastic sphere
The exact analytical solution for the scattering of a generalized (or 'hollow') acoustic Bessel beam in water by an elastic sphere centered on the beam is presented. The farfield acoustic scattering field is expressed as a partial wave series involving the scattering angle relative to the beam axis and the halfconical angle of the wave vector components of the generalized Bessel beam. The sphere is assumed to have isotropic elastic material properties so that the nth partial wave amplitude for plane wave scattering is proportional to a known partialwave coefficient. The transverse acoustic scattering field is investigated versus the dimensionlessmore »