“…Among them there are generation of high-order short-wavelength harmonics (Isakov et al, 2005;Kuroda et al, 2005;Ozaki et al, 2006) and attosecond pulses of X-ray radiation, acceleration of electrons, and protons over GeV energies (Glinec et al, 2005;Borghesi et al, 2005Borghesi et al, , 2007Lifshitz et al, 2006;Mangles et al, 2006;Flippo et al, 2007;Yin et al, 2006), investigations in high-energy-density physics of relativistic plasma (Hoffmann et al, 2005), laboratory modeling of astrophysical phenomena, isochoric heating of solid matter for strong shock wave generation, and equation of state studies, development of coherent and non-coherent soft X-ray sources for radiography, microlithography, and biomedical applications, etc. In the fast-ignition concept (Basov et al, 1992;Tabak et al, 1994), which is considered today as the most promising way for the inertial confinement fusion (ICF) (Gus'kov, 2005;Sakagami et al, 2006), (thermonuclear reaction is implemented in two steps: a conventional "long" nanosecond laser pulse (typically t long $ 5 ns) produces an implosion of a shell pellet and the following short UHI laser pulse (t sh $ 1-20 ps) heats and ignites the collapsed fuel before it begins to expand. For a novel target design where 0.5-PW, 0.6-ps UHI pulse was delivered through a cone to the center of a spherical target preliminary compressed by 2.5-kJ, 1.2-ns pulse, 1000-fold increase in the neutron yield and 20-30% efficiency of UHI pulse coupling to the plasma energy were demonstrated by Kodama et al (2002).…”