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Title: Resonance scattering of a dielectric sphere illuminated by electromagnetic Bessel non-diffracting (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 non-resonant 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 beam-shape 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 » 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 high-order rainbows. Potential applications for this analysis include Bessel beam-based 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.« less

Authors:
 [1];  [2];  [3];  [2];  [3];  [2]
  1. Chevron, Area 52 Technology–ETC, 5 Bisbee Ct., Santa Fe, NM 87508 (United States)
  2. School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071 (China)
  3. (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., E-mail: F.G.Mitri@ieee.org, Li, R.X., E-mail: 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 non-diffracting (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., E-mail: F.G.Mitri@ieee.org, Li, R.X., E-mail: 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 non-diffracting (vortex) beams with arbitrary incidence and selective polarizations. United States. doi:10.1016/J.AOP.2015.06.004.
Mitri, F.G., E-mail: F.G.Mitri@ieee.org, Li, R.X., E-mail: 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 non-diffracting (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 non-diffracting (vortex) beams with arbitrary incidence and selective polarizations},
author = {Mitri, F.G., E-mail: F.G.Mitri@ieee.org and Li, R.X., E-mail: 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 non-resonant 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 beam-shape 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 high-order rainbows. Potential applications for this analysis include Bessel beam-based 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 laser-induced 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 » twice the value of that associated with ordinary Mie scattering; the amount of the contribution is a function of the relative phase between the two beams. 27 refs., 6 figs.« less
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  • The transformation of zero-order Bessel beams into a second-order 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 illumi-nating beam is shown. A quasi-periodic nature of the Bessel beam transformation in a crystal while illuminating the diffraction axi-con by a convergent beam is observed (laser beams)
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  • 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 far-field acoustic scattering field is expressed as a partial wave series involving the scattering angle relative to the beam axis and the half-conical 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 partial-wave coefficient. The transverse acoustic scattering field is investigated versus the dimensionlessmore » parameter ka(k is the wave vector, a radius of the sphere) as well as the polar angle {theta} for a specific dimensionless frequency and half-cone angle {beta}. For higher-order generalized beams, the acoustic scattering vanishes in the backward ({theta} = {pi}) and forward ({theta} = 0) directions along the beam axis. Moreover it is possible to suppress the excitation of certain resonances of an elastic sphere by appropriate selection of the generalized Bessel beam parameters.« less