Spatiotemporal nonlinear optical self-similarity in three dimensions

Self-similarity analysis is a powerful generic technique to identify novel nonlinear propagation regimes, and these results are the first to our knowledge to extend the technique to the full spatiotemporal case. In suitably engineered materials, the observation of spatiotemporally expanding light bullets may suggest a route to the study of high power bulk nonlinear optics in a regime free of filamentation.