REVIEW
OPTICSCitation: Ge Y C. Radiation properties of high-order harmonic generation for the measurements of femto-and attosecond X-ray pulses.Radiation properties of high-order harmonic generation (HHG) are calculated for atoms in a strong laser field. The laser-duration dependence and the carrier-envelope-phase (CEP) dependence of HHG radiation properties are presented. The CEP dependence of the pure single distribution pulse of HHG radiation properties shows interesting 180° periodic structures. The quantum enhancement of the laser-assisted photo-ionization by femtosecond (1 fs=10 −15 s) and attosecond (1 as=10 −18 s) X-ray pulses and the interference patterns of photo-electron energy spectra are theoretically investigated. Transfer equations are presented for pulse reconstructions. The theoretical root-mean-square time (energy) differences of attosecond pulse reconstructions with different durations are less than 2 as (0.8 eV). These methods may be developed as basic techniques to access ultra-fast measurements and molecular movie.high-order harmonic generation, radiation properties, ultra-fast measurement, transfer equation, laser-phase determination method Electric, scanning tunneling and atomic force microscopes help scientists see interesting images of micro world on atomic scales. Ultra-fast measurement opens a door for scientists to get new knowledge. Usually, we know what happens in a chemical or biochemical reaction, but we do not know how it happens. Knowing how it happens and then regulating or manipulating it is very important for scientific researches. It is well known that the electron and energy transfers in a chemical or biochemical reaction take place on femtosecond and attosecond time scales, and that a molecular vibration period is about a hundred femtoseconds. Up to date, studying and measuring these dynamic processes have been one of the frontier topics that attract increasing attentions. Ultra-fast measurement needs increasingly shorter X-ray pulses, e.g. femto-and attosecond X-ray pulses. In the last three decades, the technique of pump-probe measurement with two delayed light pulses on picosecond time scale has been successfully used in the fast measurements of chemical reaction, biophysics and other fundamental scientific researches. Today, the techniques of synchrotron radiation, 90° Thomson scattering between high energy electrons and laser beam are used to produce femtosecond X-ray pulses. Particularly, highorder harmonic generation (HHG) is a successful way to produce attosecond X-ray pulses. These pulses can help scientists study inner atomic structure, molecular state transition and reaction dynamic process, rather than only the outer atomic structure and the final reaction productions. However, how to measure them remains a challenge.In order to better produce and use the femto-and attosecond X-ray pulses, the pulse properties such as the time distributions of the pulse intensity and frequency (chirp) have to be further studied and experimentally measured.