Development on laser systems generating a single-cycle even a sub-optical-cycle pulse in an infrared (IR) region has become a worldwide trend in the research fields of ultrashort optics, since it opens up a number of advance research field in strong-field physics . However, to realize such an ultrashort pulse, dispersion control of the over-octave bandwidth waveform is extremely challenging since ultrabroadband dispersive optics with high precision and damage threshold are required. Passive management, based on chirp dichroic mirrors , has been shown to support multi-octave bandwidth with high reflectivity. However, it is not adaptable once the dispersion condition is changed within the laser system. Active optics such as deformable mirrors (DM)  and spatial light modulator (SLM)  are also promising methods for pulse compression in preceding research. Nevertheless, group delay range for the DM is restricted to much less than ps, and birefringence of a conventional SLM is not sufficient to apply 2π phase shift in IR region. These hamper their application in an over-octave bandwidth high-intensity laser system. More recently, acousto-optic programmable dispersive filter (AOPDF) [5,6] has become a strong candidate for dispersion control of high-intensity, few-cycle, shortwave infrared (SWIR) laser sources due to their robustness and accessibility. The main issue with AOPDF is that it cannot sustain an over-octave bandwidth.
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