Temporal focusing of ultrashort pulsed Bessel beams into Airy–Bessel light bullets

Piksarv, Peeter; Valtna-Lukner, Heli; Valdmann, Andreas; Lõhmus, Madis; Matt, Roland; Saari, Peeter

doi:10.1364/oe.20.017220

Cited by 38 publications

(31 citation statements)

References 43 publications

(56 reference statements)

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“…Therefore, the derived M 2 values are often not completely describing the propagation. Phase sensitive studies can be performed with wavefront sensors [58], self-referential FROG methods like (SEA-Tadpole) [59], digital holography [60], phase tomography [61], multichannel time-of-flight analysis [62] and related methods. These methods can be used for a more adequate pulse diagnostics on the basis of Wigner function including temporal characteristics and polarization maps.…”

Section: Beam Propagation Factorsmentioning

confidence: 99%

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: Beam Propagation Factorsmentioning

confidence: 99%

Propagation and wavefront ambiguity of linear nondiffracting beams

Grünwald

Böck

2014

SPIE Proceedings

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“…While a circular diffraction grating with constant groove spacing on a SLM indeed corresponds to the condition , an axicon lens or a conical mirror provides the proportionality relation ~ and thus generates the Bessel-X pulse which is superluminal [2-4, 12, 13]. Propagation and evolution of both the axicon-generated Bessel-X pulse and the grating-generated Bessel pulse have been experimentally investigated [12][13][14][15]. Measurements of electric fields in these studies were accomplished with micrometer-range spatial and femtosecond-range temporal resolution and revealed completely the spatio-temporal behavior of the light pulses and thus allowed to determine their group velocities with high accuracy.…”

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confidence: 99%

“…In experiments with circular binary phase gratings the subluminality-caused delays up to several hundreds of fs over propagation distance ~10 have been recorded [14,15]. Unfortunately, a practical feasibility and usefulness of such an optical buffer which would provide much larger delays (e. g., of the order of hundreds of ps over 1 cm, as considered in [1]) is questionable due to two circumstances.…”

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confidence: 99%

Comments on “Slowing of Bessel light beam group velocity”

Saari

2017

Optics Communications

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Abstract. In a recent article [R. R. Alfano and D. A. Nolan, Opt. Commun. 361 (2016) 25] the group velocity reduction below the speed of light in the case of certain Bessel beam pulses has been considered and an idea of its application for a natural optical buffer presented. However, the authors treat the problem as if only one type of Bessel pulse existed, no matter how it is generated. The deficiencies of the article stem from not being familiar with an extensive literature on Bessel pulses, in particular, with a couple of papers published much earlier in the J. Opt. Soc. Am. A, which have studied exactly the same problem more thoroughly. , we see that the implicit premise is that is an independent constant. In the case of a cylindrical waveguide the value of is indeed fixed (for a given mode) by the boundary conditions. But for wave packets in the free 3D space there is no such restriction: is a variable which may take any fixed value, run over a range of values independently or act as a function of or the frequency , (see review [4] and references therein). The restrictive assumption which leads to the subluminal group velocity of Bessel wave packets, has been tacitly made earlier as well, the oldest source we know being a handbook [5]. Out of various other possibilities the simplest is the case where both and are proportional to the frequency or . In this case the wave packet-called the Bessel-X pulse [6]-not only possesses a superluminal group velocity but propagates superluminally as a whole without changing its shape.As to the Bessel light beam considered in [1], in literature it is named the pulsed Bessel beam and not only its subluminal group velocity but also its whole temporal spread and evolution in the course of propagation have been calculated earlier [7][8][9][10][11].

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“…We do not measure the femtosecond output pulses per se. Instead, the object of measurement is more sophisticatedpropagating output-input cross-correlation field, which is simply related to the impulse response [13]. The latter can be characterized with ultrahigh temporal resolution because the coherence time of the source is much shorter than femtosecond laser pulses.…”

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confidence: 99%

“…As the light source a supercontinuum fiber laser (Fianium SC400-2-PP) was used. A detailed description of the method can be found in [13] and references therein. In the present configuration the spectral phase and amplitude response was measurable in the range 428…1088 nm, which means that a temporal resolution of up to 2.5 fs could be achieved.…”

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Spatiotemporal characterization of ultrabroadband Airy pulses

et al. 2013

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We present experimental results of a full spatiotemporal characterization of an optical system for ultrabroadband Airy pulse generation with a liquid-crystal-on-silicon spatial light modulator. Measurements with a few micrometer spatial and almost one-wave-cycle temporal resolution were performed using a white light spatial spectral interferometry setup based on the SEA TADPOLE ultrashort pulse characterization technique. The results were compared with the theoretical model for Airy pulse propagation.

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Temporal focusing of ultrashort pulsed Bessel beams into Airy–Bessel light bullets

Cited by 38 publications

References 43 publications

Propagation and wavefront ambiguity of linear nondiffracting beams

Propagation and wavefront ambiguity of linear nondiffracting beams

Comments on “Slowing of Bessel light beam group velocity”

Spatiotemporal characterization of ultrabroadband Airy pulses

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