English

Modeling lasers and saturable absorbers via multilevel atomic media in the Meep FDTD software: Theory and implementation

Optics 2020-09-15 v3 Computational Physics

Abstract

This technical note describes the physical model, numerical implementation, and validation of multilevel atomic media for lasers and saturable absorbers in Meep: a free/open-source finite-difference time-domain (FDTD) software package for electromagnetics simulation. Simulating multilevel media in the time domain involves coupling rate equations for the populations of electronic energy levels with Maxwell's equations via a generalization of the Maxwell--Bloch equations. We describe the underlying equations and their implementation using a second-order discretization scheme, and also demonstrate their equivalence to a quantum density-matrix model. The Meep implementation is validated using a separate FDTD density-matrix model as well as a frequency-domain solver based on steady-state ab-initio laser theory (SALT).

Keywords

Cite

@article{arxiv.2007.09329,
  title  = {Modeling lasers and saturable absorbers via multilevel atomic media in the Meep FDTD software: Theory and implementation},
  author = {Alexander Cerjan and Ardavan Oskooi and Song-Liang Chua and Steven G. Johnson},
  journal= {arXiv preprint arXiv:2007.09329},
  year   = {2020}
}

Comments

8 pages, 2 figures