Skip to Main content Skip to Navigation
Journal articles

Theoretical and computational concepts for periodic optical waveguides

Guillaume Lecamp 1 Jean-Paul Hugonin 1 Philippe Lalanne 1
1 Laboratoire Charles Fabry de l'Institut d'Optique / Naphel
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
Abstract : We present a general, rigorous, modal formalism for modeling light propagation and light emission in three-dimensional (3D) periodic waveguides and in aggregates of them. In essence, the formalism is a generalization of well-known modal concepts for translation-invariant waveguides to situations involving stacks of periodic waveguides. By surrounding the actual stack by perfectly-matched layers (PMLs) in the transverse directions, reciprocity considerations lead to the derivation of Bloch-mode orthogonality relations in the sense of ExH products, to the normalization of these modes, and to the proof of the symmetrical property of the scattering matrix linking the Bloch modes. The general formalism, which rigorously takes into account radiation losses resulting from the excitation of radiation Bloch modes, is implemented with a Fourier numerical approach. Basic examples of light scattering like reflection, transmission and emission in periodic-waveguides are accurately resolved.
Document type :
Journal articles
Complete list of metadatas

https://hal-iogs.archives-ouvertes.fr/hal-00869734
Contributor : Fatima Pereira <>
Submitted on : Friday, October 4, 2013 - 9:25:43 AM
Last modification on : Wednesday, September 16, 2020 - 5:43:30 PM
Long-term archiving on: : Monday, January 6, 2014 - 10:10:59 AM

File

18B_00220_.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00869734, version 1

Collections

Citation

Guillaume Lecamp, Jean-Paul Hugonin, Philippe Lalanne. Theoretical and computational concepts for periodic optical waveguides. Optics Express, Optical Society of America, 2007, 15 (18), pp.11042-11060. ⟨hal-00869734⟩

Share

Metrics

Record views

273

Files downloads

601