Quadratic Solitons

Torruellas, William E.; Kivshar, Yuri S.; Stegeman, George I.

doi:10.1007/978-3-540-44582-1_6

Cited by 14 publications

(15 citation statements)

References 132 publications

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“…[57]) as long as envelope shocks (see [45]), or higher order phenomena such as plasma formation play a negligible role. Writing A as a X-wave expansion (0 < α < ∞ and −∞ < β < ∞):…”

Section: Highly Nonlinear Regime: An Effective 1d Nlsmentioning

confidence: 99%

Generation and nonlinear dynamics of X waves of the Schrödinger equation

Conti¹

2004

Phys. Rev. E

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The generation of finite energy packets of X-waves is analysed in normally dispersive cubic media by using an X-wave expansion. The 3D nonlinear Schroedinger model is reduced to a 1D equation with anomalous dispersion. Pulse splitting and beam replenishment as observed in experiments with water and Kerr media are explained in terms of a higher order breathing soliton. The results presented also hold in periodic media and Bose-condensed gases.

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Section: Highly Nonlinear Regime: An Effective 1d Nlsmentioning

confidence: 99%

Generation and nonlinear dynamics of X waves of the Schrödinger equation

Conti¹

2004

Phys. Rev. E

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“…The detailed properties of quadratic solitons can be found in a number of papers [19][20][21][22][23]33]. For quasi-phase-matching (QPM) implemented by periodic poling to periodically reverse the sign of the nonlinearity, the case of interest here, QSSes consist of in-phase, co-polarized FW and SH beams [24,25].…”

Section: Relevant Properties Of Quadratic Spatial Solitons and Their mentioning

confidence: 99%

“…Of particular interest to this paper are interactions between quadratic solitons because of the way that the solitons are launched [8,9]. Quadratic spatial solitons (QSSs) consist of different spectral components linked via a second order nonlinearity [10]. They have most frequently been investigated under conditions of almost phase-matched second harmonic generation utilizing either birefringent or quasi phase matching.…”

Section: Introductionmentioning

confidence: 99%

Quadratic soliton collisions

Jankovic¹,

Aboussouan²,

Affolter³

et al. 2004

Opt. Express

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The details of two soliton collision processes were investigated in detail in a 1 cm long periodically poled KTP crystal for the case when the solitons were excited by inputting only the fundamental beam. The effects on the collision outcomes of the distance of the collision into the sample, collision angle and phase mismatch were measured for different relative phases between the input beams. At small angles (around 0.4 degrees ) fusion, repulsion and energy transfer processes were observed, while at the collision angles approaching 3.2 degrees the two output soliton beams were essentially unaffected by the interaction. The phase mismatch was varied from 3.5 to -1.5pi for the 0.4 degrees collision angle case. The output solitons separation at pi input phase difference showed strongly asymmetric behavior with phase mismatch. In general, the measurements indicate a decrease in the interaction strength with increasing phase mismatch. All collision processes were performed in the vicinity of a non-critical phase matching.

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“…However the fields exhibit different properties in the low-depletion and soliton limits. 7,8,[37][38][39][40][41][42][43][44] For efficient SHG on phase match the two fields are /2 out of phase and energy flows from one field into the other with distance. 2,3 Off phase match, the relative phase between the fields rotates with distance and there is a periodic energy exchange between the fields.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Second harmonic generation tuning curves in quasiphase-matched potassium titanyl phosphate with narrow, high-intensity beams

Katz¹,

Егер²,

Kim

et al. 2003

Journal of Applied Physics

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The second harmonic generation (SHG) tuning curves with temperature and angle of incidence were measured in periodically poled KTiOPO4 for narrow fundamental beams at intensities typical of quadratic soliton generation. Mutual self-focusing of the fundamental and harmonic, cascading, and walk-off for light incidence away from the poling axis drastically distorted the SHG response curves, in good agreement with theory.Peer ReviewedPostprint (published version

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Quadratic Solitons

Cited by 14 publications

References 132 publications

Generation and nonlinear dynamics of X waves of the Schrödinger equation

Generation and nonlinear dynamics of X waves of the Schrödinger equation

Quadratic soliton collisions

Second harmonic generation tuning curves in quasiphase-matched potassium titanyl phosphate with narrow, high-intensity beams

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