2007/07/06 by Paul Kinsler, Kinsler, P. · 1 citation
Engineering · #FOS: Physical sciences #Optical Network Technologies #Optics (physics.optics) #Photonic Crystal and Fiber Optics #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.0707.0982
openalex publication_date 2007/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I present an overview of pulse propagation methods used in nonlinear optics, covering both full-field and envelope-and-carrier methods. Both wideband and narrowband cases are discussed. Three basic forms are considered -- those based on (a) Maxwell's equations, (b) directional fields, and (c) the second order wave equation. While Maxwell's equations simulators are the most general, directional field methods can give significant computational and conceptual advantages. Factorizations of the second order wave equation complete the set by being the simplest to understand. One important conclusion is that that envelope methods based on forward-only directional field propagation has made the traditional envelope methods (such as the SVEA, and extensions) based on the second order wave equation utterly redundant.