Nonlinear Lorentz Model for Explicit Integration of Optical Nonlinearity in FDTD

Authors

  • Charles Varin Departement de Physique ´ Cegep de l’Outaouais ´ Gatineau (QC) J8Y 6M4, Canada
  • Rhys Emms Measurement Science and Standards National Research Council Canada Ottawa (On) K1A 0R6, Canada
  • Graeme Bart Department of Physics University of Ottawa Ottawa (ON) K1N 6N5, Canada
  • Thomas Fennel Institut fur Physik ¨ Universitat Rostock ¨ 18051 Rostock, Germany
  • Thomas Brabec Department of Physics University of Ottawa Ottawa (ON) K1N 6N5, Canada

Keywords:

FDTD modeling, nonlinear materials, photonics

Abstract

Including optical nonlinearity in FDTD software in a stable, efficient, and rigorous way can be challenging. Traditional methods address this challenge by solving an implicit form of Maxwell’s equations iteratively. Reaching numerical convergence over the entire numerical space at each time step demands significant computational resources, which can be a limiting factor for the modeling of large-scale three-dimensional nonlinear optics problems (complex photonics devices, laser filamentation, ...). Recently, we proposed an explicit methodology based on a nonlinear generalization of the Lorentz dispersion model and developed example cases where it was used to account for both linear and nonlinear optical effects. An overview of this work is proposed here.

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References

J. H. Greene and A. Taflove, “General vector auxiliary differential equation finite-difference time-domain method for nonlinear optics,” Optics Express, vol. 14, pp. 8305–8310, 2006.

I. S. Maksymov, A. A. Sukhorukov, A. V. Lavrinenko, and Y. S. Kivshar, “Comparative Study of FDTD-Adopted Numerical Algorithms for Kerr Nonlinearities,” IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 143–146, 2011.

C. Varin, G. Bart, R. Emms, and T. Brabec, “Saturable Lorentz model for fully explicit three-dimensional modeling of nonlinear optics,” Optics Express, vol. 23, pp. 2686–2695, 2015.

C. Varin, R. Emms, G. Bart, T. Fennel, and T. Brabec, “Explicit formulation of second and third order optical nonlinearity in the FDTD framework,” Computer Physics Communications, vol. 222, pp. 70–83, 2018.

C. Varin, G. Bart, T. Fennel, and T. Brabec, “Nonlinear Lorentz model for the description of nonlinear optical dispersion in nanophotonics simulations [Invited],” Optical Materials Express, vol. 9, no. 2, pp. 771– 778, 2019.

R. Boyd, Nonlinear Optics, 3rd ed., Elsevier Science, 2008.

A. Taflove and S. Hagness, Computational Electrodynamics: The FiniteDifference Time-Domain Method. Artech House, 2005.

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Published

2020-11-07

How to Cite

Charles Varin, Rhys Emms, Graeme Bart, Thomas Fennel, & Thomas Brabec. (2020). Nonlinear Lorentz Model for Explicit Integration of Optical Nonlinearity in FDTD. The Applied Computational Electromagnetics Society Journal (ACES), 35(11), 1272–1273. Retrieved from https://journals.riverpublishers.com/index.php/ACES/article/view/7465

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