Advances in modern laser technology allow for the generation of ultrashort (fewcycles) intense (I>10**14 W/cm2) laser pulses. Interaction of such intense pulses with molecules leads to Molecular High Order Harmonic Generation [1], Molecular Above Threshold Ionization [2], through the highly nonlinear nonperturbative response of electrons .The resulting harmonics are in fact the only current source of coherent attosecond (asec) pulses [3]. Since the electron orbit period in the hydrogen atom is 152 asecs, such pulses are the preferred future tools for imaging, visualizing and controlling electron motion in molecules [4]. Numerical solutions of multidimentional molecular Time-Dependent Schroedinger equations (TDSE) coupled to the photon Maxwell equation on multiprocessor parallel supercomputers are the essential mathematical tools for modelling and simulating the generation of asec pulses [5].These asec pulses are then used through molecular TDSE simulations to create Molecular Electron-Wavepackets (MEWP). The generation of MEWP, the study of their intrinsic properties and their manipulation are therefore the source of a new science- Attosecond Science, ie, the ultimate control of electrons in matter.

© 2009 IEEE

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