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Uncertainty relation for modulated broadband laser pulsesa National University of Science and Technology "MISIS", Leninskii prosp. 4, Moscow, 119049, Russian Federation b Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation The shaping of picosecond laser pulses with complicated amplitude and phase modulations is applied in various problems concerning the interaction of radiation with matter. Such pulses are generated by modulating femtosecond laser pulses with the help of programmable spectral filters with a complex transmission function based on spatial light modulators or acousto-optic dispersion delay lines. It is shown that the number of resolved elements and their contrast upon modulating chirped laser pulses satisfy the uncertainty relation, and the optimal bandwidth of the filter is twice the frequency range of the laser pulse. The results are experimentally confirmed for a femtosecond Ti:Sapphire laser with a high-resolution dispersion delay line.
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