---
abstract: 'I present a detailed derivation of wideband optical pulses interacting with a Raman transition in the kind of scheme currently used to generate the ultra broadband light fields needed to create ultrashort pulses. In contrast to the usual approach using separate field envelopes for the pump, Stokes, and anti-Stokes spectral lines, I use a [*single*]{} field envelope. This requires the inclusion of few-cycle corrections to the pulse propagation. The single-field model makes fewer approximations and is mathematically (and hence computationally) simpler, although it does require greater computational resources to implement. The single-field theory reduces to the traditional multi-field one using appropriate approximations.'
author:
- Paul Kinsler
title: 'Wideband pulse propagation: a detailed calculation including Raman processes'
---

=10000

[*This report should be read along with the paper Phys. Rev. [**72**]{}, 033804 (2005) “Wideband pulse propagation: single-field and multi-field approaches to Raman interactions” by P. Kinsler, G.H.C. New [@Kinsler-N-2005pra] for proper context. This document is primarily intended as a complete (as possible) record of the calculational steps that were necessarily abbreviated (or omitted) from that published work. It is an edited version of a longer document from which on-going work has been excised; and, as a “work in progress”, 