  Herein we theoretically report a method that generates a
transverse-spatiotemporal dispersion (T-STD), which is distinct from previous
spatial, temporal, and longitudinal-spatiotemporal optics dispersions. By
modulating T-STD, two not yet reported spatiotemporally structured beams
(STSBs), i.e., the honeycomb beam and the picket-fence beam, can be generated
in the space-time domain. The generated STSBs have novel and tunable periodic
distributions. T-STD, STSB and their inner physical relationship are analyzed
and introduced. We believe that this method might open a path towards new
optical beams for potential applications, such as ultrafast optical fabrication
and detection.
