Intuitive Analytic Calculations of Spatio-Temporal Propagation of General Spatially Chirped Beams

Abstract

We generalize our method for propagating spatially chirped Gaussian beams to properly calculate the evolution of geometric spectral phase through a lens. By expanding the spectral phase around the local central frequency, we analytically calculate the spatio-temporal field. Applications to intentionally detuned pulse compressors are discussed.