OptFROG - Analytic signal spectrograms with optimized time-frequency resolution

TL;DR

OptFROG is a Python tool that generates spectrograms with optimized time and frequency resolution, aiding the analysis of ultrashort pulse simulations despite the inherent trade-offs imposed by Gabor's uncertainty principle.

Contribution

The paper introduces OptFROG, a Python package that optimizes spectrogram resolution for ultrashort pulse analysis, addressing the challenge of balancing time and frequency accuracy.

Findings

Effective spectrograms with improved resolution for ultrashort pulses

Demonstrated application in nonlinear waveguide simulations

Enhanced analysis capabilities for pulse propagation studies

Abstract

A Python package for the calculation of spectrograms with optimized time and frequency resolution for application in the analysis of numerical simulations on ultrashort pulse propagation is presented. Gabor's uncertainty principle prevents both resolutions from being optimal simultaneously for a given window function employed in the underlying short-time Fourier analysis. Our aim is to yield a time-frequency representation of the input signal with marginals that represent the original intensities per unit time and frequency similarly well. As use-case we demonstrate the implemented functionality for the analysis of simulations on ultrashort pulse propagation in a nonlinear waveguide.