Normalization of optical Weber waves and Weber-Gauss beams

Rodríguez-Lara, B. M.

doi:10.1364/josaa.27.000327

Cited by 25 publications

(7 citation statements)

References 14 publications

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“…Optical diffraction sets universal performance limits on microscopy, lithography, and imaging, among myriad other areas. This fundamental limitation has motivated a long-standing effort for developing strategies to combat diffractive spreading [1][2][3][4][5][6][7], culminating in so-called 'diffraction-free' beams [8][9][10][11][12], of which Airy beams are the only scalar 1D diffraction-free optical sheet [13,14]. In considering pulsed beams (or wave packets), propagation invariance in free space has been predicted for specific wave packets, including Brittingham's focus-wave mode (FWM) [15], Mackinnon's wave packet [16], Xwaves [17][18][19], among many others [20][21][22][23][24][25] (see [26,27] for reviews).…”

Section: Introductionmentioning

confidence: 99%

Classification of propagation-invariant space-time wave packets in free space: Theory and experiments

et al. 2019

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Introducing correlations between the spatial and temporal degrees of freedom of a pulsed optical beam (or wave packet) can profoundly alter its propagation in free space. Indeed, appropriate spatio-temporal spectral correlations can render the wave packet propagation-invariant: the spatial and temporal profiles remain unchanged along the propagation axis. The spatio-temporal spectral locus of any such wave packet lies at the intersection of the light-cone with tilted spectral hyperplanes. We investigate (2+1)D propagation-invariant 'space-time' light sheets, and identify 10 classes categorized according to the magnitude and sign of their group velocity and the nature of their spatial spectrum -whether the low spatial frequencies are physically allowed or forbidden according to their compatibility with causal excitation and propagation. We experimentally synthesize and characterize all 10 classes using an experimental strategy capable of synthesizing space-time wave packets that incorporate arbitrary spatio-temporal spectral correlations.

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Section: Introductionmentioning

confidence: 99%

Classification of propagation-invariant space-time wave packets in free space: Theory and experiments

et al. 2019

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“…The demonstration of monochromatic quasi-diffraction-free Bessel beams by Durnin et al [1] fueled tremendous interest in devising optical fields that are propagation invariant [2,3]. The transverse spatial profile of such beams are eigenfunctions of the Helmholtz equation in various coordinate systems [4][5][6]; see [7] for a classification of all such solutions. There has been similar interest in synthesizing propagation-invariant pulsed beams (or wave packets) that are diffractionfree and dispersion-free in free space [8,9].…”

Section: Introductionmentioning

confidence: 99%

Meters-long propagation of diffraction-free space-time light-sheets

Bhaduri¹,

Yessenov²,

Abouraddy³

2018

Opt. Express

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Space-time (ST) wave packets are pulsed beams in which the spatial frequencies and wavelengths are tightly correlated. Proper design of the functional form of these correlations results in diffraction-free and dispersion-free axial propagation; that is, propagation invariance in free space. To date, observed propagation distances of such ST wave packets has been on the order of a few centimeters. Here we synthesize an ST wave packet in the form of a pulsed optical sheet of transverse spatial width ∼200 μm and spectral bandwidth of ∼2 nm, and observe its diffraction-free propagation for approximately 6 meters. For such ST wave packets, we identify the spectral uncertainty - the precision in associating the spatial and temporal frequencies - as a critical parameter in determining the propagation-invariant distance. We present a design strategy and an experimental methodology that enables further increase in the diffraction-free length.

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“…Starting in the year 1987 with the prediction and experimental implementation of the Bessel beam [11][12][13], in the following years the focus was put on the examination of nondiffracting beams characterized by a field distribution in curvilinear symmetries. It was already known that there are four different families of nondiffracting beams, and an extensive investigation was carried out for Bessel beams [14] and Mathieu beams [15,16], as well as Weber beams [17,18]. However, only small efforts were put into characterizing the beam family that is described in Cartesian coordinates, namely discrete nondiffracting beams (DNBs).…”

Section: Introductionmentioning

confidence: 99%

Increasing the structural variety of discrete nondiffracting wave fields

2011

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We investigate discrete nondiffracting beams (DNBs) being the foundation of periodic and quasiperiodic intensity distributions. Besides the number of interfering plane waves, the phase relation among these waves is decisive to form a particular intensity lattice. In this manner, we systematize different classes of DNBs and present similarities as well as differences. As one prominent instance, we introduce the class of sixfold nondiffracting beams, offering four entirely different transverse intensity distributions: in detail, the hexagonal, kagome, and honeycomb pattern, as well as a hexagonal vortex beam. We further extend our considerations to quasiperiodic structures and show the changeover to Bessel beams. In addition, we introduce a highly flexible implementation of the experimental analog of DNBs, namely discrete pseudo-nondiffracting beams, and present locally resolved intensity and phase measurements, which underline the nondiffracting character of the generated wave fields.

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Normalization of optical Weber waves and Weber-Gauss beams

Cited by 25 publications

References 14 publications

Classification of propagation-invariant space-time wave packets in free space: Theory and experiments

Classification of propagation-invariant space-time wave packets in free space: Theory and experiments

Meters-long propagation of diffraction-free space-time light-sheets

Increasing the structural variety of discrete nondiffracting wave fields

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