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Absorption of intense ultra-short laser pulse 10 15 W/cm 2 <<I≤10 18 W/cm 2 in hot dense plasmais inefficient.At high temperatures plasma becomes literally collision less andabsorptioncould only be achieved by excitation of resonance. For realizing resonance nanostructures are used and for high absorption laser parameters like intensity and pulse duration should be judiciously chosen according to the shape of nanostructure. Intense laser heated hydro-dynamically expanding nanostructures undergo electron density dilution and their natural frequency of charge density oscillation meet the laser frequency for excitation of resonance.It is found that solid nano-particles like gas clusters and nano-rods, the hydrodynamic time scales to reach resonance is longer in comparison to hollow nanostructures like nano-tubes and nano-shells. It is also shown that due to polarization pressure solid nanostructure undergo expansion primarily along the incident laser polarization; this also leads to arrival of resonance condition earlier in time. It is desirable that the resonance occurs at high density for a significant radiation and particle flux. For this hollow nanostructures or higher laser intensity pulse is required for resonance condition to occur at higher density even for ultrashort pulses. This analytical analysis gives a handy recipe for choosing the laser Fluence/Intensity and pulse duration so that the resonance condition is met at the peak of the incident laser pulse. Also, the derived expressions for hydrodynamic time scales of resonance serve as a guide for choosing laser and target geometrical parameters for efficient laser energy coupling in nano-plasmas for efficient X-rays, electron and ion generation. Keywords—Resonance, Nano-structures, Gas Clusters, Nano-rod, Nano-shell, Nano-tube, Elliptical Nano-cylinders, Hydrodynmaics of plasma, Ultrashort Lasers, Collisionless plasmas

Hydrodynamic Time Scale of Resonance in Intense Laser Irradiated Nano-Plasmaof Different Geometries