A major frontier in strong field laser physics and nonlinear optics is the interaction of powerful terahertz (THz) pulses with matter. A plethora of scientific challenges and applications are presently under study, like table-top electron acceleration, THz-enhanced attosecond pulse generation and strong electric and magnetic THz field interactions with matter. Nevertheless, despite the rapid development of THz science during the last two decades, the majority of available table-top THz sources remain rather weak limiting the interactions of THz radiation with matter mostly in the realm of linear optics.