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

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.