Quantification of phase instabilities in amplitude swing for ultrashort pulse train characterization
The temporal dynamics of ultrashort pulses are a fundamental feature in ultrafast optics. These dynamics can often be extracted from a two-dimensional trace consisting of a set of nonlinear spectra, using an iterative algorithm. Typically, the measurement of this trace requires integrating the signal of many pulses, which implies that the trace does not correspond to a single pulse when shot-to-shot variations occur. In this case, the pulse train can be characterized by a base pulse and a metric that quantifies its instabilities. Here, we demonstrate that the amplitude swing technique is highly sensitive to pulse-train instabilities, allowing not only for their detection but, crucially, for their quantification. First, we examine the analytical components of the amplitude swing trace. We then introduce a robust parameter designed to assess the instabilities, evaluating its performance in the presence of noise. Finally, we validate this approach using simulated unstable pulse trains, introducing random spectral phase fluctuations, establishing amplitude swing as a simple yet powerful diagnostic tool for full pulse-train characterization.