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

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.

Mots clés: nonlinear Maxwell’s equations; electron density; photoionization; nonlinear optics; femtosecond laser irradiation; GPU-accelerated FDTD

Domaines: Génie des procédés; Sciences de l'ingénieur [physics]; Physique [physics]

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, 2016. ⟨ujm-01378828⟩