Nonlinear Wave Equation in Frequency Domain: Accurate Modeling of Ultrafast Interaction in Anisotropic Nonlinear Media
arXiv:1210.5903 · doi:10.1364/JOSAB.30.000494
Abstract
We interpret the purely spectral forward Maxwell equation with up to 3 order induced polarizations for pulse propagation and interactions in quadratic nonlinear crystals. The interpreted equation, also named nonlinear wave equation in frequency domain, includes both quadratic and cubic nonlinearities, delayed Raman effects and anisotropic nonlinearities. The full potential of this wave equation is demonstrated by investigating simulations of solitons generated in the process of ultrafast cascaded second-harmonic generation. We show that a balance in the soliton delay can be achieved due to competition between self-steepening, Raman effects and self-steepening-like effects from cascading originating in the group-velocity mismatch between the pump and second harmonic. We analyze the first-order contributions, and show that this balance can be broken to create fast or slow pulses. Through further simulations we demonstrate few-cycle compressed solitons in extremely short crystals, where spectral phenomena such as blue/red shifting, non-stationary radiation in accordance with the non-local phase matching condition and dispersive-wave generation are observed and marked, which help improving the experimental knowledge of cascading nonlinear soliton pulse compression.
References in corpus (7)
- Nonlinear envelope equation for broadband optical pulses in quadratic media
- Nonlocal explanation of stationary and nonstationary regimes in cascaded soliton pulse compression
- Limits to compression with cascaded quadratic soliton compressors
- Ultrafast and octave-spanning optical nonlinearities from strongly phase-mismatched cascaded interactions
- Scaling laws for soliton pulse compression by cascaded quadratic nonlinearities
- On type I cascaded quadratic soliton compression in lithium niobate: Compressing femtosecond pulses from high-power fiber lasers
- Higher-order Kerr effect and harmonic cascading in gases
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- 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
- 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
- Raman solitons in waveguides with simultaneous quadratic and Kerr nonlinearities
- Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides