Second harmonic generation by femtosecond laser pulses in the Laue scheme

Shutov, I. V.; Ozheredov, I. A.; Shumitski, A. V.; Chirkin, A. S.

doi:10.1134/s0030400x08070138

Cited by 24 publications

(13 citation statements)

References 6 publications

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“…Hereafter, we will refer to either the periodic or aperiodic 2D lattices shown in Figs. 1(b) and 1(c), depending on the type of the function ηy.In accordance with [7,12], the second harmonic field amplitude at the distance L in a 1D lattice (gx; y ξx) shown in Fig. 1(a) is governed by Fig.…”

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confidence: 74%

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Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Vyunishev

Chirkin

2015

Opt. Lett.

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The method of the superposition of a nonlinearity modulation is employed to design a two-dimensional (2D) nonlinear photonic lattice for efficient multiple quasi-phase-matched second harmonic generation in the process of nonlinear Raman-Nath diffraction (NRND). An analytical solution is proposed to calculate the second harmonic intensity in rectangular 2D lattices. This approach can be useful for the generation of multiple second harmonic beams with the efficiency a few orders of magnitude higher than in the case of nonphase-matched generation via NRND.

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confidence: 74%

“…In accordance with [7,12], the second harmonic field amplitude at the distance L in a 1D lattice (gx; y ξx) shown in Fig. 1(a) is governed by (2)…”

mentioning

confidence: 91%

Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Vyunishev

Chirkin

2015

Opt. Lett.

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“…In the quasi-optical approach, the SH field evolution inside the structure under the slowly varying amplitude approximation in the low-conversion regime is governed by the equation [23] ∂ ∂y…”

Section: Theoretical Modelmentioning

confidence: 99%

Multiple nonlinear Bragg diffraction of femtosecond laser pulses in a ${\chi^{(2)}}$ photonic lattice with hexagonal domains

et al. 2018

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Frequency doubling of femtosecond laser pulses in a two-dimensional rectangular nonlinear photonic lattice with hexagonal domains is studied experimentally and theoretically. The broad fundamental spectrum enables frequency conversion under nonlinear Bragg diffraction for a series of transverse orders at a fixed longitudinal quasi-phase-matching order. The consistent nonstationary theory of frequency doubling of femtosecond laser pulses is developed using the representation based on the reciprocal lattice of the structure. The calculated spatial distribution of the second-harmonic spectral intensity agrees well with the experimental data. Condition for multiple nonlinear Bragg diffraction in 2D nonlinear photonic lattice is offered. The hexagonal shape of domains contributes to multibeam second harmonic excitation. The maximum conversion efficiency for a series of transverse orders in the range from 0.01% to 0.03% is obtained.

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“…(2) describes the condition for Cerenkov nonlinear diffraction [15][16][17][18][19][20][21][22]. To satisfy this condition for a set of NRND orders, linearly chirped (gradually stepped) spatial modulation of the sign of nonlinear susceptibility can be applied.…”

Section: Theoretical Modelmentioning

confidence: 99%

Theory of second-harmonic generation in a chirped 2D nonlinear optical superlattice under nonlinear Raman-Nath diffraction

2015

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We analyze second harmonic generation (SHG) in a two dimensional nonlinear optical superlattice (NLOS) with its modulation period being chirped in the propagation direction and constant in the transverse direction. This results in efficient multiple SHG via nonlinear Raman-Nath diffraction. We obtain exact analytical expressions for a SH amplitude generated in chirped 2D NLOSs and for its quasi-phasematching bandwidth. The results of analytical calculations are in excellent agreement with the numerical ones. We show that the process is robust to angular deviations of NLOS and it can be applied to enable tunable and broadband frequency conversion.

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Second harmonic generation by femtosecond laser pulses in the Laue scheme

Cited by 24 publications

References 6 publications

Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Multiple nonlinear Bragg diffraction of femtosecond laser pulses in a ${\chi^{(2)}}$ photonic lattice with hexagonal domains

Theory of second-harmonic generation in a chirped 2D nonlinear optical superlattice under nonlinear Raman-Nath diffraction

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