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Self-imaging of tailored vortex pulse arrays and spectral Gouy rotation echoes

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Abstract

Self-imaging of femtosecond pulses with orbital angular momentum is studied in spectral domain by illuminating the orthogonal arrays of spiral gratings. Spectral Gouy rotation, i.e., the characteristic circulation of extremal regions near phase singularities in spatial spectral maps, is found to partially reappear at discrete distances. The self-imaging of co-rotating and counter-rotating vortices is compared in intensity and spectral behavior. High-selectivity pattern recognition from weakly modulated spectral maps is demonstrated by analyzing spectral moments. By our experiments, the classical Talbot effect is extended to polychromatic pulsed vortex arrays with controlled maps of rotation sign.

© 2019 Optical Society of America

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Supplementary Material (3)

NameDescription
Visualization 1       Intensity propagation of co-rotating ultrashort-pulsed beams indicating Talbot self-imaging (period: 50 μm).
Visualization 2       Intensity propagation of counter-rotating ultrashort-pulsed beams indicating Talbot self-imaging (period: 50 μm).
Visualization 3       The animation shows the rotation of spectral anomalies in maps of first statistical moments (COG) during the propagation around a Talbot distance (k = 1). White arrows symbolize schematically connecting lines between extremal points (maximum blue and

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Equations (4)

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