Split-Field Finite-Difference Time-Domain Scheme for Kerr-Type Nonlinear Periodic Media

Monllor, Jorge Francés; Tervo, Jani; Neipp, Cristian

doi:10.2528/pier12101514

Cited by 9 publications

(1 citation statement)

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“…An interested reader (in SF-FDTD formulation) can consult some essential references in the literature such as [35], the contributions of the research group of Dr. Escuti [26][27][28] and some interesting works related to the consideration of new addons in SF-FDTD by Shahmansouri and Rashidian [36]. The authors have also contributed in the development of this method in some works [29,37,38].…”

Section: Numerical Solution Of the Optical Fieldmentioning

confidence: 99%

Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings

et al. 2020

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This work presents recent results derived from the rigorous modelling of holographic polymer-dispersed liquid crystal (H-PDLC) gratings. More precisely, the diffractive properties of transmission gratings are the focus of this research. This work extends previous analysis performed by the authors but includes new features and approaches. More precisely, full 3D numerical modelling was carried out in all analyses. Each H-PDLC sample was generated randomly by a set of ellipsoid geometry-based LC droplets. The liquid crystal (LC) director inside each droplet was computed by the minimisation of the Frank elastic free energy as a function of the applied electric field. The analysis carried out considered the effects of Frank elastic constants K11, K22 and K33; the anchoring strength W0; and even the saddle-splay constant K24. The external electric field induced an orientation of the LC director, modifying the optical anisotropy of the optical media. This effect was analysed using the 3D split-field finite-difference time-domain (SF-FDTD) method. In order to reduce the computational costs due to a full 3D tensorial analysis, a highly optimised method for high-performance computing solutions (HPC) was developed. The influences of the anchoring and voltage on the diffraction efficiencies were investigated, showing the potential of this approach.

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Section: Numerical Solution Of the Optical Fieldmentioning

confidence: 99%

Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings

et al. 2020

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Graphics processing unit‐based solution of nonlinear Maxwell's equations for inhomogeneous dispersive media

Rudenko

Colombier

Itina

2016

Int J Numerical Modelling

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A new approach is developed for fast solution of complex dynamic problems in nonlinear optics. The model consists of the nonlinear Maxwell's equations coupled with time-dependent electron density equation. The approach is based on the Finite-Difference Time-Domain and the auxiliary differential equation 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 technique is implemented by using an efficient algorithm enabling solution of massively 3-dimensional problems within reasonable computation time. KEYWORDS electron density, femtosecond laser irradiation, GPU-accelerated FDTD, nonlinear Maxwell's equations, nonlinear optics, photoionization 1 Int J Numer Model. 2018;31:e2215. wileyonlinelibrary.com/journal/jnm How to cite this article: Rudenko A, Colombier J-P, Itina TE. GPU-based solution of nonlinear Maxwell's equations for inhomogeneous dispersive media. Int J Numer Model. 2018;31:e2215.

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