2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155542A general theory of inhomogeneous broadening is rarely applied to nonlinear spectroscopy in lieu of either a simple Lorentzian or Gaussian model. In this work, we generalize all the important third-order nonlinear susceptibility expressions obtained with sum-over state quantum calculations to include Gaussian and stretched Gaussian distributions of Lorentzians. This theory gives a better fit to subtle spectral features - such as the shoulder of the electroabsorption peak, and is a more accurate tool for determining transition moments from spectroscopy experiments.Submitted to IEEE JSTQEOpticsChemical PhysicsA general theory of inhomogeneous broadening for nonlinear susceptibilities: the second hyperpolarizabilitytext