Phase-Matched High-Order Difference-Frequency Mixing in Plasmas

Meyer, Susanne; Eichmann, Hubert; Menzel, T.; Nolte, Stefan; Wellegehausen, B.; Chichkov, Boris N.; Momma, C.

doi:10.1103/physrevlett.76.3336

Cited by 43 publications

(12 citation statements)

References 12 publications

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“…NSPM is thus not a general technique for phase matching over an extended distance. Finally, high-order difference frequency mixing has been proposed as a way to compensate for the effect of plasma on phase matching conditions [19][20][21].…”

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confidence: 99%

Grating-Assisted Phase Matching in Extreme Nonlinear Optics

et al. 2007

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We propose a new technique for phase matching high harmonic generation that can be used for generating bright, tabletop, tunable, and coherent x-ray sources at keV photon energies. A weak quasi-cw counterpropagating field induces a sinusoidal modulation in the phase of the emitted harmonics that can be used for correcting the large plasma-induced phase mismatch. We develop an analytical model that describes this grating-assisted x-ray phase matching and predicts that very modest intensities (<10(10) W/cm2) of quasi-cw counterpropagating fields are required for implementation.

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confidence: 99%

Grating-Assisted Phase Matching in Extreme Nonlinear Optics

et al. 2007

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“…Next, we move to the second example; high harmonics generation (HHG) in a pre-ionized plasma [4,5]. For these calculations, we assume a two-color 60fs FWHM Gaussian pulse, consisting of a strong field (peak intensity=8.3×10 13 w/cm 2 ) at λ 1 =0.8µm, and a relatively weak field (peak intensity=2.1×10 13 w/cm 2 ) at λ 3 =2.4µm, jointly launched into a 4mm 30torr Xe + plasma (Fig.…”

Section: Introductionmentioning

confidence: 99%

Phase-matching in isotropic and homogeneous materials via Talbot effect

Cohen

Popmintchev

Murnane

et al. 2006

2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference

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Figure 1 THG in homogeneous silica sample. (a) Scheme for self-induced QPM. (b) Intensity of the pump at θ=12.4 0 .(c) Power of the TH beam at the output vs. the angle, θ, normalized to the power in the "standard" case; L=lc, and d=0. (d) power spectra of TH beams at angles that give rise to phase-matching. Note that each line-type corresponds to different angle, marked in (c). Intensity (e) and scheme for the phase-matching (f) for THG at θ=16 0 . Intensity patterns of the TH beams at θ=19.7 0 (g) and θ=12.4 0 (h). Abstract:We suggest a method for obtaining phase-matching of harmonic generation processes in homogeneous isotropic materials. The intensity of the pump beam is modulated along the direction of propagation giving rise to QPM-like signal generation.Phase matching is critical for the efficient implementation of any nonlinear parametric process, e.g. harmonics generation. The most common approach for obtaining phase matching is through birefringence. However, this technique is limited to anisotropic materials. In isotropic materials, on the other hand, efficient harmonics generation is possible in inhomogeneous structures, e.g., waveguides [1] and quasi-phase matching (QPM) samples [2]. QPM makes use of modulation of the generation process (e.g. by modulating the sign of the relevant nonlinear coefficient or the intensity of the pump beam [3]), enabling to compensate for the intrinsic phase-mismatch by a QPM wave vector.Here, we suggest a technique for obtaining phase-matched frequency conversion in homogeneous and isotropic materials (e.g., glass). The distinguishing feature in this method is that the intensity of the pump beam is modulated through the spatial or temporal Talbot effect. In this case, harmonics are generated predominantly at within confined regions where intensity is largest, giving rise to QPM-like effects. We specifically discuss phasematched processes in two different regimes. First, we consider third harmonic generation (THG) in fused silica (SiO 2 ), employing the spatial Talbot effect. Then, we discuss phase matching of high harmonic generation (HHG) in plasmas, making use of the temporal Talbot effect.For the THG example, we assume a non-depleted pump beam at λ 1 =1.5µm in the form of ( ) ( ) ( ) ( ) .

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“…It is not only used to generate tunable ultrashort laser pulses and coherent, extreme, ultraviolet radiation via phase-matched high-order difference-frequency mixing [1,2], but also used to generate, and amplify, and detect terahertz (THz) waves [3][4][5][6][7][8][9][10]. Recent studies show that, using air as both THz wave emitter and detector with heterodyne detection, we can achieve extremely broad THz bandwidth covering the entire THz gap.…”

Section: Introductionmentioning

confidence: 99%