Attochirp-free High-order Harmonic Generation

A method is proposed for arbitrarily engineering the high-order harmonic generation phase achieved by shaping a laser pulse and employing xuv light or x rays for ionization. This renders the production of bandwidth-limited attosecond pulses possible while avoiding the use of filters for chirp compensation. By adding the first 8 Fourier components to a sinusoidal field of ${10}^{16}$W/cm${}^2$, the bandwidth-limited emission of 8 as is shown to be possible from a Li${}^{2+}$ gas. The scheme is extendable to the zs-scale.