# A New Method of Modelling Tuneable Lasers with Functional Composition

## TL;DR

This paper introduces a novel nonlinear modeling approach for tuneable lasers using functional composition of transformations based on the generalized nonlinear Schrödinger equation, capturing the effects of key cavity components.

## Contribution

It presents a new method that models the entire laser cavity as a composition of component transformations, enhancing understanding of pulse dynamics in tuneable lasers.

## Key findings

- Provides explicit expressions for component transformations
- Enables comprehensive modeling of laser pulse evolution
- Facilitates analysis of tuneable laser behavior

## Abstract

A new nonlinear model is proposed for tuneable lasers. Using the generalized nonlinear Schr\"odinger equation as a starting point, expressions for the transformations undergone by the pulse are derived for each of the five components (gain, loss, dispersion, modulation, and nonlinearity) within the laser cavity. These transformations are then composed to give the overall effect of one trip around the cavity.