Finite Difference Time Domain Method For Grating Structures

F.I. Baida (1) , A. Belkhir (2)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 LPCQ - Laboratoire de Physique et Chimie Quantique [Tizi-Ouzou]

The aim of this chapter is to present the principle of the FDTD method when applied to the resolution of Maxwell equations. Centered finite differences are used to approximate the value of both time and space derivatives that appear in these equations. The convergence criteria in addition to the boundary conditions (periodic or absorbing ones) are given. The special case of bi-periodic structures illuminated at oblique incidence is solved with the SFM (split field method) technique. In all cases, the dispersion of an eventual metallic media is taken into account through an analytical frequency dependence of the dielectric permittivity. Applications dealing with extraordinary optical transmission are presented and show new results allowing enhanced transmission by excitation of the TEM, a cutoff-less, guided mode of annular aperture arrays engraved into thick silver film.

Domaines: Optique [physics.optics]

F.I. Baida, A. Belkhir. Finite Difference Time Domain Method For Grating Structures. E. Popov. Gratings: Theory and Numeric Applications, AMU (PUP), pp.9.1-9.36, 2012, 978-2-8539-9860-4. ⟨hal-00782306⟩