GPU-based solution of nonlinear Maxwell’s equations for inhomogeneous dispersive media

Abstract : A new approach is developed for fast solution of complex dynamic problems in nonlinear optics. The model is based on the nonlinear Maxwell’s equations coupled with time-dependent electron density equation. The approach is based on the Finite-Difference Time-Domain (FDTD) and the auxiliary differential equation (ADE) methods for frequency-dependent Drude media with a time-dependent carrier density, changing due to Kerr, photoionization, avalanche and recombination effects. The system of nonlinear Maxwell-Ampere equations is solved by an iterative fixed-point procedure. The proposed approach is shown to remain stable even for complex nonlinear media and strong gradient fields. Graphics-processing-units (GPU) technique is implemented by using an efficient algorithm enabling solution of massively three-dimensional problems within reasonable computation time.
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https://hal-ujm.archives-ouvertes.fr/ujm-01378828
Contributor : Tatiana Itina <>
Submitted on : Monday, October 10, 2016 - 6:35:08 PM
Last modification on : Friday, May 10, 2019 - 2:52:35 PM

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  • HAL Id : ujm-01378828, version 1

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Anton Rudenko, Jean-Philippe Colombier, Tatiana Itina. GPU-based solution of nonlinear Maxwell’s equations for inhomogeneous dispersive media. INTERNATIONAL JOURNAL OF NUMERICAL MODELLING: ELECTRONIC NETWORKS, DEVICES AND FIELDS, Willey, 2016. ⟨ujm-01378828⟩

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