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Bessel beam
About: Bessel beam is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 42264 citations.
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TL;DR: A new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam is reported on.
Abstract: We report on a new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam. We consider in particular the case in which the angular spectrum of such generalized beams has, in the paraxial zone, the same radial structure as Laguerre–Gaussian beams. We investigate the form of these new beams as well as their peculiar propagation properties.
22 citations
TL;DR: In this paper, the authors derived the near-field acoustic scattering from a sphere centered on the axis of a finite Bessel acoustic beam stemming from the Rayleigh-Sommerfeld diffraction surface integral and the addition theorems for the spherical wave and Legendre functions.
Abstract: The near-field acoustic scattering from a sphere centered on the axis of a finite Bessel acoustic beam is derived stemming from the Rayleigh-Sommerfeld diffraction surface integral and the addition theorems for the spherical wave and Legendre functions. The beam emerges from a finite circular disk vibrating according to one of its radial modes corresponding to the fundamental solution of a Bessel beam J0. The incident pressure field's expression is derived analytically as a partial-wave series expansion, taking into account the finite size and the distance from the center of the disk transducer. Initially, the scattered pressure by a rigid sphere is evaluated, and backscattering pressure moduli plots as well as 3-D directivity patterns for an elastic PMMA sphere centered on a finite Bessel beam with appropriate tuning of its half-cone angle reveal possible resonance suppression of the sphere only in the zone near the Bessel transducer. Moreover, the analysis is extended to derive the mean spatial incident and scattered pressures at the surface of a rigid circular receiver of infinitesimal thickness. The transducer, sphere, and receiver are assumed to be coaxial. Some applications can result from the present analysis because all physically realizable Bessel beam sources radiate finite sound beams as opposed to waves of infinite extent.
22 citations
TL;DR: In this paper, binary optical elements (BOE) are designed for generating Bessel beams at mm- and sub mm- wavelengths, which combine a GA for global optimization with a two-dimensional finite-difference time-domain (2-D FDTD) method for rigorous electromagnetic computation.
Abstract: In this paper, binary optical elements (BOE’s) are designed for generating Bessel beams at mm- and sub mm- wavelengths. The design tool is to combine a genetic algorithm (GA) for global optimization with a two-dimension finite-difference time-domain (2-D FDTD) method for rigorous electromagnetic computation. The design process for converting a normally incident Gaussian beam into a Bessel beam is described in detail. Numerical results demonstrate that the designed BOE’s can not only successfully produce arbitrary order Bessel beams, but also have higher diffraction efficiencies when compared with amplitude holograms.
22 citations
TL;DR: In this article, the propagation behavior of the truncated cos beam is similar to that of truncated Bessel beam, and the propagation of the apertured cos beams is studied, where the pseudonondiffracting beam proposed recently by Rosen [Opt.20, 423] can be obtained by the proper truncation of the cos beam.
Abstract: The cosine (cos) beam is the two-dimensional counterpart of the three-dimensional nondiffracting beam, the Bessel beam. The propagation behavior of the truncated cos beam is similar to that of the truncated Bessel beam. The propagation of the apertured cos beams is studied. The pseudonondiffracting beam proposed recently by Rosen [Opt. Lett.20, 423 (1995)] can be obtained by the proper truncation of the cos beam. The temporal nondispersive pulse can be treated in a similar way, owing to the space–time analogy.
22 citations
TL;DR: In this article, the authors quantify the accuracy with which refractive index determinations can be made by Cavity Ring Down Spectroscopy (CRDS) for single particles confined within the core of a Bessel laser beam and how that accuracy is degraded as the particle size is progressively reduced from the coarse mode (>1μm radius) to the accumulation mode (<500 n radius) regime.
Abstract: Cavity ring-down spectroscopy (CRDS) of single, optically manipulated aerosol particles affords quantitative retrieval of refractive indices for particles of fixed or evolving composition with high precision. Here, we quantify the accuracy with which refractive index determinations can be made by CRDS for single particles confined within the core of a Bessel laser beam and how that accuracy is degraded as the particle size is progressively reduced from the coarse mode (>1 μm radius) to the accumulation mode (<500 nm radius) regime. We apply generalized Lorenz–Mie theory to the intra-cavity standing wave to explore the effect of particle absorption on the distribution of extinction cross section determinations resulting from stochastic particle motion in the Bessel beam trap. The analysis provides an assessment of the accuracy with which the real, n, and imaginary, κ, components of the refractive index can be determined for a single aerosol particle.Published with license by American Association fo...
22 citations