Nonlocal explanation of stationary and nonstationary regimes in cascaded soliton pulse compression

Abstract

We study soliton pulse compression in materials with cascaded quadratic nonlinearities, and show that the group-velocity mismatch creates two different temporally nonlocal regimes. They correspond to what is known as the stationary and nonstationary regimes. The theory accurately predicts the transition to the stationary regime, where highly efficient pulse compression is possible.

arXiv comment3 pages, 2 figures, published verison in Optics Letters. Contains revised equations, including an updated model

Cited by in corpus (29)

• Walk-off-induced modulation instability, temporal pattern formation, and frequency comb generation in cavity-enhanced second-harmonic generation
• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Ultrafast and octave-spanning optical nonlinearities from strongly phase-mismatched cascaded interactions
• Linearons: highly non-instantaneous solitons in liquid-core photonic crystal fibers
• Scaling laws for soliton pulse compression by cascaded quadratic nonlinearities
• The anisotropic Kerr nonlinear refractive index of the beta-barium borate (β-BaB2O4) nonlinear crystal
• Akhmediev Breathers and Peregrine Solitary Waves in a Quadratic Medium
• Generating mid-IR octave-spanning supercontinua and few-cycle pulses with solitons in phase-mismatched quadratic nonlinear crystals
• Multiple-octave spanning mid-IR supercontinuum generation in bulk quadratic nonlinear crystals
• Formation of localized structures in bistable systems through nonlocal spatial coupling I: General framework
• On type I cascaded quadratic soliton compression in lithium niobate: Compressing femtosecond pulses from high-power fiber lasers
• Optical Cherenkov radiation by cascaded nonlinear interaction: an efficient source of few-cycle energetic near- to mid-IR pulses
• Formation of localized structures in bistable systems through nonlocal spatial coupling II: The nonlocal Ginzburg Landau Equation
• Experimental observation of long-wavelength dispersive wave generation induced by self-defocusing nonlinearity in BBO crystal
• Energetic mid-IR femtosecond pulse generation by self-defocusing soliton-induced dispersive waves in a bulk quadratic nonlinear crystal
• Higher-order Kerr effect and harmonic cascading in gases
• Nonlinear Wave Equation in Frequency Domain: Accurate Modeling of Ultrafast Interaction in Anisotropic Nonlinear Media
• Soliton-induced nonlocal resonances observed through high-intensity tunable spectrally compressed second-harmonic peaks
• Parametrically tunable soliton-induced resonant radiation by three-wave mixing
• Efficient supercontinuum generation in quadratic nonlinear waveguides without quasi-phase matching
• Mid-IR femtosecond frequency conversion by soliton-probe collision in phase-mismatched quadratic nonlinear crystals
• Modulation Instability of Ultrashort Pulses in Quadratic Nonlinear Media beyond the Slowly Varying Envelope Approximation
• Designing microstructured polymer optical fibers for cascaded quadratic soliton compression of femtosecond pulses
• Rogue Waves and Periodic Solutions of a Nonlocal Nonlinear Schrödinger Model
• Soliton compression to few-cycle pulses with a high quality factor by engineering cascaded quadratic nonlinearities
• Large phase shift of (1+1)-dimensional nonlocal spatial solitons in lead glass
• Solitons in thermal media with periodic modulation of linear refractive index
• Peregrine solitons and resonant radiation in cubic and quadratic media
• Two-optical-cycle pulses from nanophotonic two-color soliton compression