Parametrically Tunable Soliton-Induced Resonant Radiation by Three-Wave Mixing

Abstract

Bache, M. (2017). Parametrically tunable solitoninduced resonant radiation by three-wave mixing.

Mid-infrared frequency comb generation via cascaded quadratic nonlinearities in quasi-phase-matched waveguides

“…The relatively long interaction length in the waveguide results in a narrow DFG phase-matching bandwidth, ∆λ FWHM ≈ 20 nm. We note that similar DFG has been observed in bulk PPLN crystals recently and termed as DFG resonant-radiation [25].…”

“…This results in an effective, self-defocusing cubic nonlinearity and leads to spectral broadening in the normal dispersion regime. Since the phase-mismatch is controlled by the QPM grating profile, engineered quadratic and effective cubic nonlinear interactions are possible, finding both quantum and classical applications in squeezed light generation [22], all-optical switching [23], femtosecond pulse generation [24], broadband SCG [25,26], modelocking GHz-rate solid-state lasers [27], and frequency comb stabilization [28,29]. In previous comb-stabilization experiments, octave spanning supercontinua in the NIR were observed in reverse-proton-exchanged PPLN waveguides using Yb: and Tm:fiber lasers [28,29], but relatively high pulse energies (>10 nJ) were required.…”

Mid-infrared frequency comb generation via cascaded quadratic nonlinearities in quasi-phase-matched waveguides

“…The relatively long interaction length in the waveguide results in a narrow DFG phase-matching bandwidth, ∆λ FWHM ≈ 20 nm. We note that similar DFG has been observed in bulk PPLN crystals recently and termed as DFG resonant-radiation [25].…”

“…This results in an effective, self-defocusing cubic nonlinearity and leads to spectral broadening in the normal dispersion regime. Since the phase-mismatch is controlled by the QPM grating profile, engineered quadratic and effective cubic nonlinear interactions are possible, finding both quantum and classical applications in squeezed light generation [22], all-optical switching [23], femtosecond pulse generation [24], broadband SCG [25,26], modelocking GHz-rate solid-state lasers [27], and frequency comb stabilization [28,29]. In previous comb-stabilization experiments, octave spanning supercontinua in the NIR were observed in reverse-proton-exchanged PPLN waveguides using Yb: and Tm:fiber lasers [28,29], but relatively high pulse energies (>10 nJ) were required.…”

Supercontinuum generation using long-period-grating waveguides on silicon

“…When the phase mismatch intersects with the grating-induced phase mismatch, the matching condition is satisfied, and a grating-induced dispersive wave is generated at this frequency accordingly. The frequency of grating-induced dispersive waves is calculated by 36 βs(ω)−β(ω)=2πΛm,where m=0,±1,±2,…,ω is the angular frequency of the grating-induced dispersive wave, and βs(ω) is the soliton wave vector given as βs(ω)=β(ωs)+(ω−ωs)β1(ωs)+γP/2,in which P is the peak power of the first ejected soliton, ωnormals is the frequency of the soliton frequency, γ is the nonlinear coefficient, and β1(ωnormals) is the first-order dispersion coefficient at ωs…”

Three-Wave Mixing of Dipole Solitons in One-Dimensional Quasi-Phase-Matched Nonlinear Crystals

“…[50] While the second harmonic generation is typically a special case of three-wave mixing, we generalize it to the more universal and compatible case of three-wave mixing. [68][69][70][71][72][73] By QPM between the three waves, there are four types of dipole solitons that are obtained via the phase-matching condition. We explore whether the 1D dipole soliton can be stabilized by the QPM technique for transmission in the presence of three-wave mixing.…”

Mid-infrared frequency comb generation via cascaded quadratic nonlinearities in quasi-phase-matched waveguides

“…The relatively long interaction length in the waveguide results in a narrow DFG phase-matching bandwidth, ∆λ FWHM ≈ 20 nm. We note that similar DFG has been observed in bulk PPLN crystals recently and termed as DFG resonant-radiation [25].…”

“…This results in an effective, self-defocusing cubic nonlinearity and leads to spectral broadening in the normal dispersion regime. Since the phase-mismatch is controlled by the QPM grating profile, engineered quadratic and effective cubic nonlinear interactions are possible, finding both quantum and classical applications in squeezed light generation [22], all-optical switching [23], femtosecond pulse generation [24], broadband SCG [25,26], modelocking GHz-rate solid-state lasers [27], and frequency comb stabilization [28,29]. In previous comb-stabilization experiments, octave spanning supercontinua in the NIR were observed in reverse-proton-exchanged PPLN waveguides using Yb: and Tm:fiber lasers [28,29], but relatively high pulse energies (>10 nJ) were required.…”

Supercontinuum generation using long-period-grating waveguides on silicon

“…When the phase mismatch intersects with the grating-induced phase mismatch, the matching condition is satisfied, and a grating-induced dispersive wave is generated at this frequency accordingly. The frequency of grating-induced dispersive waves is calculated by 36 βs(ω)−β(ω)=2πΛm,where m=0,±1,±2,…,ω is the angular frequency of the grating-induced dispersive wave, and βs(ω) is the soliton wave vector given as βs(ω)=β(ωs)+(ω−ωs)β1(ωs)+γP/2,in which P is the peak power of the first ejected soliton, ωnormals is the frequency of the soliton frequency, γ is the nonlinear coefficient, and β1(ωnormals) is the first-order dispersion coefficient at ωs…”

Three-Wave Mixing of Dipole Solitons in One-Dimensional Quasi-Phase-Matched Nonlinear Crystals

“…[50] While the second harmonic generation is typically a special case of three-wave mixing, we generalize it to the more universal and compatible case of three-wave mixing. [68][69][70][71][72][73] By QPM between the three waves, there are four types of dipole solitons that are obtained via the phase-matching condition. We explore whether the 1D dipole soliton can be stabilized by the QPM technique for transmission in the presence of three-wave mixing.…”

Mid-infrared frequency comb generation via cascaded quadratic nonlinearities in quasi-phase-matched waveguides

“…The relatively long interaction length in the waveguide results in a narrow DFG phase-matching bandwidth, ∆λ FWHM ≈ 20 nm. We note that similar DFG has been observed in bulk PPLN crystals recently and termed as DFG resonant-radiation [25].…”

“…This results in an effective, self-defocusing cubic nonlinearity and leads to spectral broadening in the normal dispersion regime. Since the phase-mismatch is controlled by the QPM grating profile, engineered quadratic and effective cubic nonlinear interactions are possible, finding both quantum and classical applications in squeezed light generation [22], all-optical switching [23], femtosecond pulse generation [24], broadband SCG [25,26], modelocking GHz-rate solid-state lasers [27], and frequency comb stabilization [28,29]. In previous comb-stabilization experiments, octave spanning supercontinua in the NIR were observed in reverse-proton-exchanged PPLN waveguides using Yb: and Tm:fiber lasers [28,29], but relatively high pulse energies (>10 nJ) were required.…”

Supercontinuum generation using long-period-grating waveguides on silicon

“…When the phase mismatch intersects with the grating-induced phase mismatch, the matching condition is satisfied, and a grating-induced dispersive wave is generated at this frequency accordingly. The frequency of grating-induced dispersive waves is calculated by 36 βs(ω)−β(ω)=2πΛm,where m=0,±1,±2,…,ω is the angular frequency of the grating-induced dispersive wave, and βs(ω) is the soliton wave vector given as βs(ω)=β(ωs)+(ω−ωs)β1(ωs)+γP/2,in which P is the peak power of the first ejected soliton, ωnormals is the frequency of the soliton frequency, γ is the nonlinear coefficient, and β1(ωnormals) is the first-order dispersion coefficient at ωs…”

Three-Wave Mixing of Dipole Solitons in One-Dimensional Quasi-Phase-Matched Nonlinear Crystals

“…[50] While the second harmonic generation is typically a special case of three-wave mixing, we generalize it to the more universal and compatible case of three-wave mixing. [68][69][70][71][72][73] By QPM between the three waves, there are four types of dipole solitons that are obtained via the phase-matching condition. We explore whether the 1D dipole soliton can be stabilized by the QPM technique for transmission in the presence of three-wave mixing.…”