2006/04/20 by Jeffrey Moses, Moses, Jeffrey, Frank W. Wise +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fluid Dynamics and Thin Films #Nonlinear Dynamics and Pattern Formation #Optics (physics.optics) #physics.optics
paper · pdf · doi:10.48550/arxiv.physics/0604170
13 pages
arxiv created 2006/04/20 · openalex publication_date 2006/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive coupled propagation equations for ultrashort pulses in a degenerate three-wave mixing process in quadratic media, using approximations consistent with the slowly evolving wave approximation [T. Brabec and F. Krausz, Phys. Rev. Lett. 78, 3282 (1997)]. From these we derive an approximate single-field equation for the fundamental field. This document expands upon mathematics used for work submitted by the same authors to Physical Review Letters.