Beam propagation factor of an Airy beam

Chen, Rui-Pin; Ying, Chaofu

doi:10.1088/2040-8978/13/8/085704

Cited by 23 publications

(14 citation statements)

References 18 publications

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“…for illumination applications). Therefore, it is also the commonly used basis of the determination of the beam parameter product M 2 [21][22][23] via analyzing statistical moments of spatial intensity distribution.…”

Section: ______________________ * Grunwald@mbi-berlindementioning

confidence: 99%

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Propagation and wavefront ambiguity of linear nondiffracting beams

Grünwald

Böck

2014

SPIE Proceedings

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Ultrashort-pulsed Bessel and Airy beams in free space are often interpreted as "linear light bullets". Usually, interconnected intensity profiles are considered a "propagation" along arbitrary pathways which can even follow curved trajectories. A more detailed analysis, however, shows that this picture gives an adequate description only in situations which do not require to consider the transport of optical signals or causality. To also cover these special cases, a generalization of the terms "beam" and "propagation" is necessary. The problem becomes clearer by representing the angular spectra of the propagating wave fields by rays or Poynting vectors. It is known that quasi-nondiffracting beams can be described as caustics of ray bundles. Their decomposition into Poynting vectors by Shack-Hartmann sensors indicates that, in the frame of their classical definition, the corresponding local wavefronts are ambiguous and concepts based on energy density are not appropriate to describe the propagation completely. For this reason, quantitative parameters like the beam propagation factor have to be treated with caution as well. For applications like communication or optical computing, alternative descriptions are required. A heuristic approach based on vector field based information transport and Fourier analysis is proposed here. Continuity and discontinuity of far field distributions in space and time are discussed. Quantum aspects of propagation are briefly addressed.

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Section: ______________________ * Grunwald@mbi-berlindementioning

confidence: 99%

“…for Bessel [56] and Airy beams [57]). These factors are determined on the basis of measurements of spatially dependent intensity.…”

Section: Beam Propagation Factorsmentioning

confidence: 99%

Propagation and wavefront ambiguity of linear nondiffracting beams

Grünwald

Böck

2014

SPIE Proceedings

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“…The Wigner distribution function [2] and wave analysis [3] have been used to explain the intriguing features of an Airy beam. The self-healing [4], Poynting vector and angular momentum [5], ballistic dynamics [6], beam propagation factor [7], fractional Fourier transform (FRFT) [8], and far-field divergent properties [9] of an Airy beam have been investigated, respectively. A finite-energy Airy beam can freely accelerate upon propagation [10,11].…”

Section: Introductionmentioning

confidence: 99%

Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane

Zhou¹,

Zhou²,

Ru³

2014

PIER M

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Abstract-An analytical expression of an Airy-Gauss beam passing through a fractional Fourier transform (FRFT) system is derived. The normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter of the Airy-Gauss beam are demonstrated in FRFT plane, respectively. The influence of the fractional order p on the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter of the Airy-Gauss beam are examined in FRFT plane. The fractional order p controls the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, the linear momentum, and kurtosis parameter. The period of the normalized intensity, phase, and centre of gravity versus the fractional order p is 4. The period of effective beam size, linear momentum, and kurtosis parameter versus the fractional order p is 2. The periodic behaviors of the normalized intensity distribution, phase distribution, centre of gravity, effective beam size, linear momentum, and kurtosis parameter can bring novel applications such as optical switch, optical micromanipulation, and optical image processing.

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“…Unique characteristics of Airy beams such as accelerating, nondiffracting, and self-healing are having been extensively explored [2][3][4][5][6][7] . Furthermore, their applications are also actively studied [8][9][10][11] .…”

Section: Introductionmentioning

confidence: 99%

Analysis of excitation-intensity-dependent diffraction and acceleration characteristics of finite half-Bessel beams

Lee

2013

SPIE Proceedings

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A half-Bessel beam (HBB) is one of nonparaxial and nondiffracting accelerating beams that follows a circular trajectory. Since the ideal HBB is a beam of infinite energy, it is impossible to generate an ideal HBB. Therefore, truncation is necessary to make the beam be square integrable. There exist two ways of such truncation. One is simply cutting off some portion of the beam, and the other is modulating the angular spectrum of the beam. For the latter method, Fourier transformation optics based on a lensed system can be applied. In this study, we suggest and numerically evaluate several methods to achieve finite HBBs using conventional Fourier-optic 2-f system. To this objective, we first derive an angular spectrum representation of the ideal HBB. From this, we show that the obtained spectrum has poles in Fourier domain. After that, several forms of square integrable finite HBBs, where the poles are eliminated, are suggested. And then, the characteristics of the proposed finite HBBs in terms of diffraction and acceleration are presented.

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Beam propagation factor of an Airy beam

Cited by 23 publications

References 18 publications

Propagation and wavefront ambiguity of linear nondiffracting beams

Propagation and wavefront ambiguity of linear nondiffracting beams

Properties of Airy-Gauss Beams in the Fractional Fourier Transform Plane

Analysis of excitation-intensity-dependent diffraction and acceleration characteristics of finite half-Bessel beams

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