Terahertz (THz) field induced near-cutoff even-order harmonics in femtosecond laser field and THz wave reconstruction

High-order harmonic generation by femtosecond laser pulse in the presence of a moderately strong terahertz (THz) field is studied under the strong field approximation, showing a simple proportionality of near-cutoff even-order harmonic (NCEH) amplitude to the THz electric field. The formation of the THz induced-NCEHs is analytically shown for both continuous wave and Gaussian pulse. The perturbation analysis with regard to the frequency ratio between the femtosecond laser pulse and the THz field shows the THz-induced NCEHs originates from the first-order correction, and the parametric conditions for the phenomenon is also clarified. As the complete characterization of the time-domain waveform of broadband THz field is essential for a wide variety of applications, the work provides an alternative time-resolved field-detection technique, allowing for a robust broadband characterization of pulses in THz spectral range.