The European Physical Journal Special Topics

, Volume 199, Issue 1, pp 5–76

Practitioner’s guide to laser pulse propagation models and simulation

Numerical implementation and practical usage of modern pulse propagation models

DOI: 10.1140/epjst/e2011-01503-3

Cite this article as:
Couairon, A., Brambilla, E., Corti, T. et al. Eur. Phys. J. Spec. Top. (2011) 199: 5. doi:10.1140/epjst/e2011-01503-3


The purpose of this article is to provide practical introduction into numerical modeling of ultrashort optical pulses in extreme nonlinear regimes. The theoretic background section covers derivation of modern pulse propagation models starting from Maxwell’s equations, and includes both envelope-based models and carrier-resolving propagation equations. We then continue with a detailed description of implementation in software of Nonlinear Envelope Equations as an example of a mixed approach which combines finite-difference and spectral techniques. Fully spectral numerical solution methods for the Unidirectional Pulse Propagation Equation are discussed next. The modeling part of this guide concludes with a brief introduction into efficient implementations of nonlinear medium responses. Finally, we include several worked-out simulation examples. These are mini-projects designed to highlight numerical and modeling issues, and to teach numerical-experiment practices. They are also meant to illustrate, first and foremost for a non-specialist, how tools discussed in this guide can be applied in practical numerical modeling.

Copyright information

© EDP Sciences and Springer 2011

Authors and Affiliations

  1. 1.Centre de Physique ThéoriqueCNRS, École PolytechniquePalaiseauFrance
  2. 2.Department of Physics and MathematicsUniversity of InsubriaComoItaly
  3. 3.Department of Quantum ElectronicsVilnius UniversityVilniusLithuania
  4. 4.Departamento de Ciencias Naturales y MatemáticasPontificia Universidad Javeriana-CaliCaliColombia
  5. 5.College of Optical SciencesTucsonUSA
  6. 6.Department of PhysicsConstantine the Philosopher UniversityNitraSlovakia