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Herein we theoretically report a method that generates atransverse-spatiotemporal dispersion (T-STD), which is distinct from previousspatial, temporal, and longitudinal-spatiotemporal optics dispersions. Bymodulating T-STD, two not yet reported spatiotemporally structured beams(STSBs), i.e., the honeycomb beam and the picket-fence beam, can be generatedin the space-time domain. The generated STSBs have novel and tunable periodicdistributions. T-STD, STSB and their inner physical relationship are analyzedand introduced. We believe that this method might open a path towards newoptical beams for potential applications, such as ultrafast optical fabricationand detection.

Theoretical method for generating regular spatiotemporal pulsed-beam with controlled transverse-spatiotemporal dispersion