Gain-guided modes in stimulated scattering processes with diffraction-free pump beams

Niggl, L.; Maier, Max

doi:10.1016/s0030-4018(98)00305-8

Cited by 18 publications

(9 citation statements)

References 18 publications

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“…Three-Wave Mixing Bessel beams hold considerable potential in NL optics, namely, for second harmonic generation (SHG), [33][34][35] optical parametric generation, 36,37 and Raman conversion [38][39][40] to name a few. One might reasonably expect that NL optical processes open more possibilities to generate and transform Bessel vortex beams.…”

Section: Generation Of Bessel Vortices In the Process Ofmentioning

confidence: 99%

Propagation of high-order circularly polarized Bessel beams and vortex generation in uniaxial crystals

et al. 2011

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Abstract. We investigate the generation and transformation of Bessel beams through linear and nonlinear optical crystals. We outline the gen-eration of high-order vortices due to propagation of Bessel beams along the optical axis of uniaxial crystals and expand this to the nonlinear regime by outlining a new phase-matching process (full conical phase matching) in second harmonic generation of vector Bessel beams for various sym-metries in uniaxial crystals. We demonstrate the principles experimentally in a uniaxial BBO crystal and find excellent agreement between the ex-perimental and theoretical results. The results imply a coupling of the intrinsic and extrinsic optical angular momentum of the resulting fields, which may have importance in studies involving quantum entanglement of the angular momentum basis of light. C©2011 Society of Photo-Optical Instru-mentation Engineers (SPIE). [DOI: 10.1117/1.3572109] Subject terms: Bessel beams; optical vortices; uniaxial crystals; second harmonic generation. Paper 100866PR received Nov. 2, 2010; revised manuscript received Feb. 28, 2011; accepted for publication Mar. 8, 2011; published online May 2, 2011.

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Section: Generation Of Bessel Vortices In the Process Ofmentioning

confidence: 99%

Propagation of high-order circularly polarized Bessel beams and vortex generation in uniaxial crystals

et al. 2011

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“…In this study, however, we are interested in SBS with diffraction-free beams, whereas the latter case, although it leads to improved phase conjugation, is that of a Gauss-dominated Bessel -Gauss beam, The advantage of using a Bessel beam in a bulk medium is, however, that high-energy pulses can be studied without self-phase modulation or optical damage in a gain-guided geometry. 16 In Fig. 4(c) the pulse shapes recorded in the inner (dashed curve) and the outer (solid curve) parts of the forward ring are shown.…”

Section: -17mentioning

confidence: 99%

Higher-order stimulated Brillouin scattering with nondiffracting beams

Velchev

Ubachs

2001

Opt. Lett.

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We report on an experimental investigation of stimulated Brillouin scattering pumped with a Bessel beam. Owing to the extended interaction length along the diffraction-free propagation, higher-order Stokes components are generated in a bulk Brillouin-active medium with odd and even orders propagating in opposite directions. The spatial, spectral, and temporal properties of the interacting waves are discussed. © 2001 Optical Society of America OCIS codes: 290.5830, 190.4420, 190.5940. Stimulated Brillouin scattering (SBS) f irst attracted the attention of the laser-physics community because of its phase-conjugation properties, an effect widely used for wave-front correction in powerful amplif ier systems. In the 1970's SBS was studied in optical f ibers, in which long interaction lengths can be achieved, significantly lowering the SBS threshold. Effects such as higher-order Stokes and anti-Stokes generation, 1 four-wave mixing, and self-phase modulation were investigated 2 ; the concepts of a Brillouin fiber laser and Brillouin mode locking were also introduced. 3In the 1980's the f irst experimental observation of pulse compression by SBS was published, 4 which triggered great interest with the prospect of achieving high peak intensities with nearly 100% conversion efficiency. During the two decades that followed, pulse energies of more than 1 J were compressed, 5 subphonon-lifetime pulses were achieved, 6 and compression ratios greater than 20 were realized by use of Gaussian beams. In 1987 the concept of diffraction-free beams was introduced by Durnin and co-workers. 7,8 They pointed out that the Helmholtz equation, apart from its trivial plane-wave solution, possesses a whole class of diffraction-free solutions, the simplest being a monochromatic wave propagating along the z axis with amplitude F͑r, u, z; k͒ exp͑ibz͒J 0 ͑ar͒ ,where r 2 x 2 1 y 2 , a 2 1 b 2 k 2 , and J 0 is the zero-order Bessel function. This wave has a central maximum with half-width ϳa 21 surrounded by concentric ring-shaped maxima with amplitudes decaying as r 21͞2 . The total energy of such a beam is infinite, since each lobe carries approximately the same energy as the preceding one. This fact makes it practically impossible to generate a nondiffracting beam for an infinite propagation distance.If the Bessel beam is modulated by a Gaussian function exp͑2r 2 ͞w 2 ͒, the total energy in the beam is f inite. This makes Bessel -Gauss beams 10 experimentally feasible and limits the diffraction-free propagation to distances L w͞g, where g is the angular half-aperture of the cone of the Bessel beam ͓a k sin͑g͔͒. A Bessel -Gauss beam with w 5 mm and a cone angle of 2g 2.5 ± is nearly nondiffracting for a distance L ഠ 25 cm, creating an intense line focus with a constant diameter of a few micrometers. The application of such a beam in nonlinear processes offers a number of unique possibilities.11 -17

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“…Over the past few decades, structured beams have attracted much attention in optical domain, due to their property of nondiffraction [1][2][3]. In 1987, J. Durnin et al discovered Bessel beams [4], which propagate in considerably long distances without change of transverse intensities.…”

Section: Introductionmentioning

confidence: 99%

Experimental Generation of Quasi-Zero-Order Mathieu-Gauss Beams via Diffractive Elements in THz Domain

et al. 2021

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We first demonstrate the Terahertz quasi-zero-order Mathieu-Gaussian beams with a 0.1-THz continuous wave. To generate these beams, two diffractive elements, a cylindrical lens and an axicon bearing specific phases are fabricated via 3D printing technology. The related numerical simulations are conducted to study intensity distributions and properties on non-diffraction and self-healing of THz quasi-zero-order Mathieu beams in free space. Experimental results are in good agreement with numerical ones. Based on the characteristic of terahertz Mathieu beams, they can be applied to terahertz linear array imaging system and terahertz communication.

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Gain-guided modes in stimulated scattering processes with diffraction-free pump beams

Cited by 18 publications

References 18 publications

Propagation of high-order circularly polarized Bessel beams and vortex generation in uniaxial crystals

Propagation of high-order circularly polarized Bessel beams and vortex generation in uniaxial crystals

Higher-order stimulated Brillouin scattering with nondiffracting beams

Experimental Generation of Quasi-Zero-Order Mathieu-Gauss Beams via Diffractive Elements in THz Domain

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