Generation of Phase-Stable Sub-Cycle Mid-Infrared Pulses from Filamentation in Nitrogen

Sub-single-cycle pulses in the mid-infrared (MIR) region were generated through a laser-induced filament. The fundamental (omega(1)) and second harmonic (omega(2)) output of a 30- fs Ti: sapphire amplifier were focused into nitrogen gas and produce phase-stable broadband MIR pulses (omega(0)) by using a four-wave mixing process (omega(1) + omega(1) - omega(2) -> omega(0)) through filamentation. The spectrum spread from 400 cm(-1) to 5500 cm(-1), which completely covered the MIR region. The low frequency components were detected by using an electro-optic sampling technique with a gaseous medium. The efficiency of the MIR pulse generation was very sensitive to the delay between the fundamental and second harmonic pulses. It was revealed that the delay dependence of the efficiency came from the interference between two opposite parametric processes, omega(1) + omega(1) - omega(2) -> omega(0) and omega(2) - omega(1) - omega(1) -> omega(0). The pulse duration was measured as 6.9 fs with cross-correlation frequency-resolved optical gating by using four-wave mixing in nitrogen. The carrier-envelope phase of the MIR pulse was passively stabilized. The instability was estimated as 154 mrad rms in 2.5 h.