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                  <mods:namePart>Martínez Matos, Óscar</mods:namePart>
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                  <mods:namePart>Vaveliuk, Pablo</mods:namePart>
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                  <mods:namePart>González Izquierdo, Jesús</mods:namePart>
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                  <mods:namePart>Loriot, Vincent</mods:namePart>
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               <mods:abstract>Spatial shaping of ultrashort laser beams at the focal plane is theoretically analyzed. The description of the pulse is performed by its expansion in terms of Laguerre-Gaussian orthonormal modes. This procedure gives both a comprehensive interpretation of the propagation dynamics and the required signal to encode onto a spatial light modulator for spatial shaping, without using iterative algorithms. As an example, pulses with top-hat and annular spatial profiles are designed and their dynamics analyzed. The interference of top-hat pulses is also investigated finding potential applications in high precision pump-probe experiments (without using delay lines) and for the creation of subwavelength ablation patterns. In addition, a novel class of ultrashort pulses possessing non-stationary orbital angular momentum is also proposed. These exotic pulses provide additional degrees of freedom that open up new perspectives in fields such as laser-matter interaction and micro-machining.</mods:abstract>
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