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We discuss a novel method for generating octave-spanning supercontinua andfew-cycle pulses in the important mid-IR wavelength range. The technique relieson strongly phase-mismatched cascaded second-harmonic generation (SHG) inmid-IR nonlinear frequency conversion crystals. Importantly we here investigatethe so-called noncritical SHG case, where no phase matching can be achieved butas a compensation the largest quadratic nonlinearities are exploited. Aself-defocusing temporal soliton can be excited if the cascading nonlinearityis larger than the competing material self-focusing nonlinearity, and we definea suitable figure of merit to screen a wide range of mid-IR dielectric andsemiconductor materials with large effective second-order nonlinearities$d_{\rm eff}$. The best candidates have simultaneously a large bandgap and alarge $d_{\rm eff}$. We show selected realistic numerical examples using one ofthe promising crystals: in one case soliton pulse compression from 50 fs to 15fs (1.5 cycles) at $3.0\mic$ is achieved, and at the same time a 3-cycledispersive wave at $5.0\mic$ is formed that can be isolated using a long-passfilter. In another example we show that extremely broadband supercontinua canform spanning the near-IR to the end of the mid-IR (nearly 4 octaves).

Generating mid-IR octave-spanning supercontinua and few-cycle pulses with solitons in phase-mismatched quadratic nonlinear crystals