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Open AccessJournal ArticleDOI

Quantitative description of the self-healing ability of a beam.

Xiuxiang Chu, +1 more
- 24 Mar 2014 - 
- Vol. 22, Iss: 6, pp 6899-6904
TLDR
Results show that the angle of two intensity profiles can be used to describe the self-healing ability of arbitrary beams as the reconstruction distance for quantitatively describing theSelf-heating ability of Bessel beam.
Abstract
Quantitative description of the self-healing ability of a beam is very important for studying or comparing the self-healing ability of different beams. As describing the similarity by using the angle of two infinite-dimensional complex vectors in Hilbert space, the angle of two intensity profiles is proposed to quantitatively describe the self-healing ability of different beams. As a special case, quantitative description of the self-healing ability of a Bessel-Gaussian beam is studied. Results show that the angle of two intensity profiles can be used to describe the self-healing ability of arbitrary beams as the reconstruction distance for quantitatively describing the self-healing ability of Bessel beam. It offers a new method for studying or comparing the self-healing ability of different beams.

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Citations
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Journal ArticleDOI

Generation and self-healing of vector Bessel-Gauss beams with variant state of polarizations upon propagation.

TL;DR: A generalized model for the creation of vector Bessel-Gauss (BG) beams having state of polarization (SoP) varying along the propagation direction is proposed and the self-healing capability of spatial SoP information is evaluated.
Journal ArticleDOI

Wave-optics description of self-healing mechanism in Bessel beams

TL;DR: The results show that the physics underlying the self-healing mechanism can be entirely explained in terms of the propagation of plane waves with radial wave vectors lying on a ring.
Journal ArticleDOI

Light-sheet generation in inhomogeneous media using self-reconstructing beams and the STED-principle.

TL;DR: It is shown that by a combination of two self-reconstructing beams with different orbital angular momenta it is possible to inhibit fluorescence from the ring system by using stimulated emission depletion (STED) even in strongly scattering media.
Journal ArticleDOI

Unraveling beam self-healing.

TL;DR: In this article, it was shown that diffraction-free beams may not only reconstruct themselves after hitting an opaque obstacle but also, for example, Gaussian beams, by comparing the amplitudes, as opposite to intensities, of the original beam and the obstructed one.
Journal ArticleDOI

Self-healing properties of Hermite-Gaussian correlated Schell-model beams

TL;DR: The influence of the obstacle position separation from the source on the self-healing capacity of partially coherent beams is studied using Hermite-Gaussian correlated Schell-model beams as a case in point and it is established that the shorter the distance between the obstacle and the source plane and the longer the Distance between the obstacles and the observation (receiver) plane, the better theSelf- healing capacity.
References
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Journal ArticleDOI

Nonspreading wave packets

TL;DR: In this article, it was shown that for a wave ψ in the form of an Airy function the probability density ψ 2 propagates in free space without distortion and with constant acceleration.
Journal ArticleDOI

Self-healing properties of optical Airy beams

TL;DR: This work investigates both theoretically and experimentally the self-healing properties of accelerating Airy beams and shows that this class of waves tends to reform during propagation in spite of the severity of the imposed perturbations.
Journal ArticleDOI

Airy–Bessel wave packets as versatile linear light bullets

TL;DR: In this paper, the first observation of a class of versatile three-dimensional linear light "bullets" was reported, where Bessel beams in the transverse plane with temporal Airy pulses were used to generate spatiotemporal optical wave packets resistant to both dispersion and diffraction.
Journal ArticleDOI

Accelerating Light Beams along Arbitrary Convex Trajectories

TL;DR: It is found that all nonbroadening optical beams, accelerating along any convex trajectory, display the same universal intensity cross section, irrespective of their acceleration.
Journal ArticleDOI

Auto-focusing and self-healing of Pearcey beams

TL;DR: A new solution of the paraxial equation based on the Pearcey function, which is related to the Airy function and describes diffraction about a cusp caustic, is presented and the theory of propagating Pearcey beams is described.
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