Femtosecond laser filamentation in air with zero-order pseudo Mathieu beam of different lobes

The spatiotemporal dynamics of femtosecond filamentation were investigated numerically to evaluate various intensity distributions of zero-order Mathieu beams without the phase alteration for adjacent lobes. The side filaments are formed due to constructive interferences of the light fields of the side lobes. For the beam with appropriate lobes, the whole length of filament can be extended. The diffraction-free characteristic can still be retained in the femtosecond filamentation area, even when ignoring the phase alternation of adjacent lobes. Thus, several high peak intensity spikes behind the continuous clamping segment were illuminated by the remaining energy of side filaments. For the spectrum, intensity distribution with a suitable number of lobes enhances the supercontinuum (SC) emission on both the blue and red sides.