... We study in this paper the effect of shock excitation of leaky and surface modes by the p-polarized electromagnetic wave incident on the rapidly ionized gaseous or solid layer. ... For example, if [pic] (solid density, multiple ionized plasma), the basic frequency [pic], [pic], [pic] we find, that the wavelength of leaky wave [pic] is in soft x rays band. ... If [pic] (low density gaseous plasma), the basic frequency [pic], [pic], [pic] we find, that the wavelength of leaky wave [pic] is in THz band...