The European Physical Journal Special Topics

, Volume 199, Issue 1, pp 5–76 | Cite as

Practitioner’s guide to laser pulse propagation models and simulation

Numerical implementation and practical usage of modern pulse propagation models
  • A. CouaironEmail author
  • E. Brambilla
  • T. Corti
  • D. Majus
  • O. de J. Ramírez-Góngora
  • M. KolesikEmail author


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.


European Physical Journal Special Topic Probe Beam Pump Pulse Nonlinear Polarization Transverse Wave Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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

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