Nonlinear Lorentz Model for Explicit Integration of Optical Nonlinearity in FDTD

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 dem...

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Bibliographic Details
Published inApplied Computational Electromagnetics Society journal Vol. 35; no. 11; pp. 1272 - 1273
Main Authors Varin, Charles, Emms, Rhys, Bart, Graeme, Fennel, Thomas, Brabec, Thomas
Format Journal Article
LanguageEnglish
Published Pisa River Publishers 03.02.2021
Subjects
Electric fields
Finite difference time domain method
Gallium arsenide
Lasers
Mathematical models
Nonlinear optics
Nonlinearity
Optics
Photonics
Propagation
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Summary: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.
ISSN:1054-4887
1054-4887
1943-5711
DOI:10.47037/2020.ACES.J.351105