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

Anton Rudenko Jean-Philippe Colombier 1 Tatiana Itina 1
1 LHC - Laboratoire Hubert Curien [Saint Etienne]
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 system of nonlinear equations is solved by an iterative fixed-point procedure [Ref 1]. The proposed method is shown to stay stable even for complex nonlinear media and strong fields leading to such effects as non-linearphotoionization including both multi-photon effect and tunneling described by Keldysh theory [Ref 2] . Special attention is paid to the possibility of embedding different sub-micrometric inhomogeneities with transient optical properties in the main matrix materials such as transparent dielectrics. GPU technique is implemented by using an an efficient algorithm enabling solution of a massively three-dimensional problems within reasonable time. The proposed procedure can be used for a wide range of applications. In particular, the method is advantageous in the case of ultra-fast laser material processing, for modeling ultra-short laser-nanoparticle interaction, and to study the periodic nanostructure formation in dielectric materials by femtosecond laser irradiation
Document type :
Poster communications
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https://hal-ujm.archives-ouvertes.fr/ujm-01378873
Contributor : Tatiana Itina <>
Submitted on : Monday, October 10, 2016 - 8:16:09 PM
Last modification on : Thursday, July 26, 2018 - 1:11:02 AM

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  • HAL Id : ujm-01378873, version 1

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UNIV-ST-ETIENNE | LAHC | IOGS | PARISTECH | UNIV-PARIS-SACLAY

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Anton Rudenko, Jean-Philippe Colombier, Tatiana Itina. GPU-based solution of nonlinear Maxwell’s equations for inhomogeneous dispersive media. EMF 2016 (10th International Symposium on Electric and Magnetic Fields), Apr 2016, Lyon, France. ⟨ujm-01378873⟩

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