Self-action of Bessel beam in nonlinear medium

Gadonas, R.; Jarutis, Vygandas; Paškauskas, Ričardas; Smilgevičius, V.; Stabinis, A.; Vaičaitis, V.

doi:10.1016/s0030-4018(01)01386-4

Cited by 48 publications

(47 citation statements)

References 14 publications

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“…This behavior is further illustrated by the wave packet structures in Fig.1 (b-e) corresponding to various stages of focusing within single period at z = 50, 53, 55 and 58 µm. Similar periodicity, albeit with smaller period, was observed earlier for low intensity beams, and explained by the interference between the initial GB beam and the Gaussian constituent generated during the four-wave mixing process [12,13]. However, we have verified that neither Gaussian, nor GB beam would exhibit such behavior in this case, when the intensity strongly exceeds the self-focusing threshold of the Gaussian beam, and when mechanisms which arrest the beam's collapse (e.g., dispersion and nonlinear losses) are active.…”

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confidence: 80%

Discrete damage traces from filamentation of Gauss-Bessel pulses

et al. 2006

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Filamentation of Bessel-Gauss pulses propagating in borosilicate glass is found to produce damage lines extending over hundreds of micrometers and consisting of discrete, equidistant damage spots. These discrete damage traces are explained by self-regeneration of Gauss-Bessel beams during the propagation and are potentially applicable in laser microfabrication of transparent materials.Light filaments formed by laser beams propagating in transparent media present an interesting case of spatial, and possibly, temporal localization of electromagnetic radiation at extremely high power densities sustainable over significant propagation lengths. The potential areas of applications of such light channeling range from remote sensing and LIDAR to laser microscopy and microfabrication. Generation and dynamics of light filaments is explained using a wide range of physical models. Some of them adopt moving focus model [1] which implies that filamentation is merely an optical illusion occurring when time-integrated detection is used. Others describe filaments as self-channelled beams [2, 3] whose stationarity is supported by a balance between Kerr-induced self-focusing and plasma-induced defocusing; a genuine soliton-like propagation, however, is destroyed by additional physical effects [4]. The dynamic spatial replenishment model [5] treats filamentation as a cyclic defocusing and focusing due to the dynamic interplay between the Kerr and plasma effects. According to the recently proposed "filamentation without self-channelling" model [6,7], multiphoton absorption alone can dynamically balance the self-focusing, thus leading to filamentation. It was shown numerically [8] that the absorption transforms the initial Gaussian beam toward the Gauss-Bessel (GB) beam, which is a modified solution of the free-space Helmholz equation [9]. Consequently, filament represents a narrow, high-intensity central part of a GB beam, whose propagation losses are replenished from the low-intensity side lobes containing the main part of the beam's energy. This model is strongly supported by recent experimental and theoretical results [7,10,11] demonstrating extreme robustness (self-healing) of the filaments in reconstructing their intensity after encountering microscopic obstacles.In most of the studies reported so far filamentation was seeded using laser beams with Gaussian transverse profiles. Having in mind the GB nature of filaments, the possibility of directly launching a powerful Bessel beam into the material and thus circumventing the internal transformation from Gaussian toward GB beam, is intriguing. The internal transformation is governed by the materials' nonlinear response, which may limit the obtainable peak intensity of the GB beam. An external GB beam (e.g., generated using an axicon) may have power sufficient for inducing and sustaining extensive damage along its entire propagation path. The possibility to fabricate extended lines in transparent solids almost instantaneously is beneficial for laser microfabrication. Here we show ...

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confidence: 80%

Discrete damage traces from filamentation of Gauss-Bessel pulses

et al. 2006

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“…Although several methods of generating diffractionfree beams have been reported (9), (10) , the use of an axicon lens (5) - (8) is the simplest method of implementing and of-fers the prospect of high conversion efficiencies. Figure 1 shows the schematic of the experimental setup used to generate a diffraction-free beam.…”

Section: Methodsmentioning

confidence: 99%

Microfabrication and Drilling Using Diffraction-Free Pulsed Laser Beam Generated with Axicon Lens

Kohno¹,

Matsuoka

2004

JSME international journal. Ser. B, Fluids and thermal engineer

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Laser microfabrication using a diffraction-free beam (Bessel beam) was performed. Microfabrication with a deep focal depth is possible because a diffraction-free beam has a main lobe with a small diameter, which does not depend on propagation length. The diffractionfree beam was generated using an axicon lens, and the generation was confirmed using an optical microscopy image of a laser-fabricated spot on a silicon wafer. Nevertheless using a nanosecond pulsed Nd:YAG laser, microfabrication with a spot diameter < 1 µm was realized. As a result of the deep focal depth of the diffraction-free beam, even if we change the work distance within a range of several millimeters, we are still able to maintain the diameter of the laser-fabricated spots to approximately 1 µm. Since an almost straight penetration hole with a diameter of 3 µm was drilled into SUS304 foil (20 µm thick), it was found that the diffraction-free beam has a high feasibility for the high-aspect-ratio laser drilling of an opaque material due to its deep focal depth.

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“…In optical waves, various classes of beams exhibit the Gouy phase. Examples are general higher Gaussian modes like Hermite-Gaussian and Laguerre-Gaussian beams [44,[57][58][59][60], more specifically a vortex beam [61,62], a radially polarized beam [63], the Airy beam [64], and the Bessel beam [65,66]. In addition to such optical beams, surface plasmon-polaritons [67], matter waves [41], scattered hotspots (i.e., a photonic nanojet) [32], and diffracted hotspots (i.e., the spot of Arago) [68,69] also show axial phase shifts.…”

Section: Introductionmentioning

confidence: 99%

Phase anomalies in Talbot light carpets of self-images

Kim¹,

Scharf²,

Menzel³

et al. 2013

Opt. Express

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An interesting feature of light fields is a phase anomaly, which occurs on the optical axis when light is converging as in a focal spot. Since in Talbot images the light is periodically confined in both transverse and axial directions, it remains an open question whether at all and to which extent the phase in the Talbot images sustains an analogous phase anomaly. Here, we investigate experimentally and theoretically the anomalous phase behavior of Talbot images that emerge from a 1D amplitude grating with a period only slightly larger than the illumination wavelength. Talbot light carpets are observed close to the grating. We concisely show that the phase in each of the Talbot images possesses an anomalous axial shift. We show that this phase shift is analogous to a Gouy phase of a converging wave and occurs due to the periodic light confinement caused by the interference of various diffraction orders. Longitudinal-differential interferometry is used to directly demonstrate the axial phase shifts by comparing Talbot images phase maps to a plane wave. Supporting simulations based on rigorous diffraction theory are used to explore the effect numerically. Numerical and experimental results are in excellent agreement. We discover that the phase anomaly, i.e., the difference of the phase of the field behind the grating to the phase of a referential plane wave, is an increasing function with respect to the propagation distance. We also observe within one Talbot length an irregular wavefront spacing that causes a deviation from the linear slope of the phase anomaly. We complement our work by providing an analytical model that explains these features of the axial phase shift. References and links1. F. Talbot, "Facts relating to optical science. No. IV," Philos. Mag. 9, 401-407 (1836). 2. L. Rayleigh, "On copying diffraction gratings and some phenomena connected therewith," Philos. Mag. 11(67), 196-205 (1881). 3. J. C. Bhattacharya, "Measurement of the refractive index using the Talbot effect and a moire technique," Appl.Opt. 28(13), 2600-2604 (1989). 4. G. Spagnolo, D. Ambrosini, and D. Paoletti, "Displacement measurement using the Talbot effect with a Ronchi grating," J. Opt. Soc. A 4(6), S376-S380 (2002). 5. J. R. Leger, M. L. Scott, and W. B. Veldkamp, "Coherent addition of AlGaAs lasers using microlenses and diffractive coupling," Appl. Phys. Lett. 52(21), 1771-1773 (1988). 6. J. R. Leger, "Lateral mode control of an AlGaAs laser array in a Talbot cavity," Appl. Phys. Lett. 55(4), 334-336 (1989 416-419 (1973). 11. E. Bonet, J. Ojeda-Castañeda, and A. Pons, "Imagesynthesis using the Laueffect," Opt. Commun. 81(5), 285-290 (1991). 12. J. C. Barreiro, P. Andrés, J. Ojeda-Castañeda, and J. Lancis, "Multiple incoherent 2D optical correlator," Opt.Commun. 84(5-6), 237-241 (1991). 13. R. F. Edgar, "The Fresnel diffraction images of periodic structures," J. Mod. Opt. 16, 281-287 (1969). 14. J. T. Winthrop and C. R. Worthington, "Theory of Fresnel images. I. Plane periodic objects in monochromatic light," J. Opt...

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Self-action of Bessel beam in nonlinear medium

Cited by 48 publications

References 14 publications

Discrete damage traces from filamentation of Gauss-Bessel pulses

Discrete damage traces from filamentation of Gauss-Bessel pulses

Microfabrication and Drilling Using Diffraction-Free Pulsed Laser Beam Generated with Axicon Lens

Phase anomalies in Talbot light carpets of self-images

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