Conical dynamics of Bessel beams

Anguiano-Morales, Marcelino; Méndez-Otero, M.M.; Castillo, M. D. Iturbe; Chávez-Cerda, Sabino

doi:10.1117/1.2752167

Cited by 41 publications

(23 citation statements)

References 23 publications

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“…However, the obstacle was constituted by a single, isolated absorbing disk, much smaller than the beam's cross-section [Anguiano-Morales et al, 2007b]. These experiments were repeated with similar results for other non-diffracting continuous wave and pulsed beams by Anguiano-Morales et al [2007a] and Dubietis et al [2004], Chong et al [2010], respectively.…”

Section: Self-reconstructing Beamsmentioning

confidence: 71%

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Microscopy with self-reconstructing beams

2010

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Section: Self-reconstructing Beamsmentioning

confidence: 71%

“…Secondly, the energy in the beam is transported radially from the rings to the central lobe and then again through the ring system. This effect was also termed conical dynamics [Anguiano-Morales et al, 2007b]. The large spheres are mainly forward scattering.…”

Section: Discussionmentioning

confidence: 97%

Microscopy with self-reconstructing beams

2010

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“…Bessel beams are known to belong to a class of optical beams described by the (2 + 1)-dimensional Helmholtz equation, and they have the property of being nondiffracting [1,2] and self-healing [3,4] on propagation. Originally, Bessel beam properties were studied using the diffraction RayleighSommerfeld or Fresnel-Kirchhoff integral.…”

Section: Introductionmentioning

confidence: 99%

Full characterization of Airy beams under physical principles

2014

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The propagation characteristics of Airy beams is investigated and fully described under the traveling-wave approach analogous to that used for nondiffracting Bessel beams. This is possible when noticing that Airy functions are, in fact, Bessel functions of fractional order 1 3 . We show how physical principles impose restrictions such that the nondiffracting Airy beams cannot be of infinite extent as has been argued and introduce quantitative expressions for the maximum transverse and longitudinal extent of Airy beams. We show that under the appropriate physical conditions it is possible to obtain higher-order Airy beams.

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“…Despite this fluent explanation by Anguiano-Morales et al 10 , the numerical simulations demonstrated resorted back to solving the Helmholtz equation. In this paper we present an efficient and accurate technique to predict Bessel and Bessel-Gauss beam propagation after encountering an obstruction of arbitrary geometry and complex orientation (i.e., no symmetry is required in the obstacle under study).…”

Section: Introductionmentioning

confidence: 99%

“…Conventionally, the FresnelKirchoff diffraction integral together with Babinet's principle has been employed, which results in time consuming calculations. Recently, the phenomenon of reconstruction was eloquently explained by considering the dynamics of the conical waves that form a Bessel beam 10 . Essentially, the cone of wave vectors previously mentioned consists simultaneously of two conical waves, an incoming and an outgoing wave, which can be represented by Hankel functions 11 …”

Section: Introductionmentioning

confidence: 99%

Propagation of obstructed Bessel and Bessel-Gauss beams

2008

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The investigation into Bessel beams has been a topic of immense research during the past 20 years, due to the interesting properties they display. Bessel beams not only exhibit diffraction free propagation, but also reconstruction of the amplitude and phase of the beam after encountering an obstruction. Although this self reconstruction property has been previously modelled by numerous groups, the techniques involve rigorous, time-consuming computations. In this work we present an efficient method to accurately calculate the reconstruction of a Bessel beam after an arbitrary obstruction. Our method considers the well-known conical wave features of Bessel beams and looks at the projection of the obstruction in space as a result of the travelling conical waves that produce the Bessel beams.

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Conical dynamics of Bessel beams

Cited by 41 publications

References 23 publications

Microscopy with self-reconstructing beams

Microscopy with self-reconstructing beams

Full characterization of Airy beams under physical principles

Propagation of obstructed Bessel and Bessel-Gauss beams

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