Phototorefractive Spatial Solitons

Segev, Mordechai; Crosignani, B.; Porto, P. Di; Shih, Ming-Feng; Chen, Zhigang; Mitchell, Matthew; Salamo, Greg

doi:10.1007/0-306-47079-9_9

Cited by 4 publications

(13 citation statements)

References 83 publications

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“…(66), in the sharp limit (using Eqs. (69)) has recently been used to compute the high-energy limit of the free electronpositron pair-production amplitudes in peripheral relativistic heavy-ion collisions [27][28][29]. As in the case of the target frame equation considered previously, the amplitudes derived from Eq.…”

Section: Equation Of Motion: Collider Framementioning

confidence: 99%

“…(66) and given in Refs. [27][28][29][30] correspond to direct reactions only. For the present case in the collider frame, only asymptotic electron states distant from both target and projectile ions are considered [45].…”

Section: Equation Of Motion: Collider Framementioning

confidence: 99%

“…The high-energy limit of peripheral relativistic heavyion collisions has been recently examined, and closedform expressions for the amplitudes describing electronpositron pair production have been obtained [26][27][28][29]. These new results offer significant insight into the understanding of relativistic heavy-ion collision dynamics [26][27][28][29][30][31][32]. In these works, the consequences of allowing the collision velocity to approach the speed of light, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…The Large Hadron Collider (LHC), currently being planned at CERN, will offer collision velocities which more closely approach the speed of light, β C ≈ 0.9999999. Indeed, in experiments recently performed at CERN's SPS [1,4,9,10], in which heavy-ions collide in a fixed-target mode, the equivalent colliderframe collision velocity exceeds 0.99c, suggesting that the high-energy limit is already a meaningful and relevant approximation for use in interpreting the experimental results [29].…”

Section: Introductionmentioning

confidence: 99%

“…τ ± ≡ (z ± t)/2, in the form of a zero-range or sharp potential. The separability of this interaction in the time-dependent, twocenter Dirac equation allows for its closed-form solution [26][27][28][29]. However, this useful form becomes apparant at the high energy limit only after applying phase transformations so as to remove the long-range z dependence of the interaction [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions

1999

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We discuss the two-center, time-dependent Dirac equation describing the dynamics of an electron during a peripheral, relativistic heavy-ion collision at extreme energies. We derive a factored form, which is exact in the high-energy limit, for the asymptotic channel solutions of the Dirac equation, and elucidate their close connection with gauge transformations which transform the dynamics into a representation in which the interaction between the electron and a distant ion is of short range. We describe the implications of this relationship for solving the time-dependent Dirac equation for extremely relativistic collisions.

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Section: Equation Of Motion: Collider Framementioning

confidence: 99%

Section: Equation Of Motion: Collider Framementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions

1999

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Coulomb effects on electromagnetic pair production in ultrarelativistic heavy-ion collisions

et al. 1999

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We calculate the asymptotic high-energy amplitude for electrons scattering at one ion, as well as at two colliding ions, by means of perturbation theory. We show that the interaction with one ion eikonalizes and that the interaction with two ions causally decouples. We are able to put previous results on perturbative grounds and propose further applications for the obtained rules for interactions on the light cone. We discuss the implications of the eikonal amplitude on the pair production probability in ultrarelativistic peripheral heavy-ion collisions. In this context the Weizsäcker-Williams method is shown to be exact in the ultrarelativistic limit, irrespective of the produced particles' mass. A new equivalent single-photon distribution is derived, which correctly accounts for Coulomb distortions. The impact on single-photon induced processes is discussed.

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Transient dark photovoltaic spatial solitons and induced guiding in slab LiNbO_3 waveguides

2001

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Dark photorefractive photovoltaic spatial solitons are demonstrated at 532 nm in nominally undoped and slightly Fe-doped LiNbO(3) planar optical waveguides. The spatial solitons are observed in a transient regime before transverse modulation instability occurs. Their widths are intensity independent as predicted by theory. Meanwhile, excited mode distribution and Fe-doping concentration are shown to influence soliton width. The guiding properties of soliton-induced waveguides are also presented.

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Phototorefractive Spatial Solitons

Cited by 4 publications

References 83 publications

Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions

Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions

Coulomb effects on electromagnetic pair production in ultrarelativistic heavy-ion collisions

Transient dark photovoltaic spatial solitons and induced guiding in slab LiNbO_3 waveguides

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