Spatiotemporal mode-locked (STML) lasers are ideal platforms
for
investigating high-dimensional nonlinear dynamics. This study presents
an experimental observation and theoretical investigation of a novel
high-dimensional nonlinear dynamics, which we term spatiotemporal
period-doubling bifurcation (SPB), in the STML lasers. In the SPB
state, not only the temporal shape but also the spatial beam (i.e.,
the spatiotemporal structure) of the pulses exhibit period-doubling
bifurcation. As a result, it is observed that the pulse train modulation
varies with the transverse mode, and the output beam profile fluctuates
rapidly and periodically. Our numerical simulations are in good agreement
with the experimental observations. In addition, a simple iterative
model is presented to underline the physical insights of SPB, by considering
the mode-dependent saturable absorption effect. Based on these results,
spatial-dependent saturable absorption is believed to be the key factor
for the unique spatiotemporal characteristic of SPB in multimode lasers.
This study contributes to the understanding of the complex spatiotemporal
dynamics in STML multimode lasers and to the discovery of novel dynamics
in high-dimensional nonlinear systems.