Consecutive three-wave interactions in nonlinear optics of periodically inhomogeneous media

Chirkin, A. S.; Волков, В. В.; Laptev, G D; Morozov, E Yu

doi:10.1070/qe2000v030n10abeh001859

Cited by 81 publications

(33 citation statements)

References 9 publications

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“…Numerical solution of the system (3.1) shows that, in general, the third-harmonic output has an oscillating behavior as a function of the length or input power, and generally it does not reach the efficiency of 100%. However, as shown in Egorov and Sukhorukov [1998]; Chirkin, Volkov, Laptev, and Morozov [2000] and Zhang, Zhu, Yang, Qin, Zhu, Chen, Liu, and Ming [2000], the total conversion of the fundamental wave into the third-harmonic wave is possible if the ratio σ 2 /σ 5 is optimized. In other cases, where only one phase-matched condition is satisfied, the THG conversion efficiency is not so large, and it should be compared to that of the direct THG process in a cubic medium.…”

Section: Third-harmonic Multistep Processesmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

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We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.

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Section: Third-harmonic Multistep Processesmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

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“…In this case the reciprocal vector of nonlinear coefficient must compensate the phase mismatches of two processes at once. It should be noted that the compensation may be achieved only for limited numbers of optical frequencies [2]. The same difficulties occur at simultaneous implementation of more than two wave interactions.…”

Section: Introductionmentioning

confidence: 99%

“…where A j is the amplitude of wave with frequency ω j = 2π/λ j ; ∆k 1 4 are the phase mismatches for processes (1), (2), and (3), respectively; Λ j = 2πm/∆k j ; β lj = 4πω j d (9) The system of Eqs. (4)- (8) is satisfying the condition…”

Section: The Dynamics Of Three Coupled Wave Process With Five Wavesmentioning

confidence: 99%

Aperiodically Poled Nonlinear Crystals as Sources of Multi-Frequency Laser Radiation

Novikov

Laptev

2007

Acta Phys. Pol. A

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The new multi-frequency process, which consists of three coupled nonlinear optical interactions: two parametric down-conversions and one up-conversion, in aperiodically poled nonlinear crystal is investigated. The spatial dynamics of wave intensities is studied in detail. The possibility of secondary simplification of coupled equations for correct describing the dynamics of wave interactions is demonstrated. The optimal conditions for parametrical instability of the initial stage of wave interactions are found.

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“…Such processes may be consecutive or coupled wave (915) interactions. In this case the nonlinear grating vector compensates the phase mismatches of several nonlinear optical processes [2].…”

Section: Introductionmentioning

confidence: 99%

Three-Frequency Wave Interactions in the Field of 100 fs Ti:Sapphire Laser pulse in PPLN

2007

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The paper contains experimental results of three-frequency parametric conversion in the field of femtosecond laser pulses in periodically poled lithium niobate crystal. The spectral distribution and the power of radiation at the periotically poled lithium niobate output pumped by Ti:sapphire laser were measured. Special attention is paid to realization of parametric amplification at low frequency pumping. In order to interpret the results obtained we used simultaneous phase matching condition of two coupled three-frequency processes.

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Consecutive three-wave interactions in nonlinear optics of periodically inhomogeneous media

Cited by 81 publications

References 9 publications

Multistep parametric processes in nonlinear optics

Multistep parametric processes in nonlinear optics

Aperiodically Poled Nonlinear Crystals as Sources of Multi-Frequency Laser Radiation

Three-Frequency Wave Interactions in the Field of 100 fs Ti:Sapphire Laser pulse in PPLN

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