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Proceedings Paper

Modeling of optical amplifier waveguide based on silicon nanostructures and rare earth ions doped silica matrix gain media by a finite-difference time-domain method: comparison of achievable gain with Er3+ or Nd3+ ions dopants
Author(s): Julien Cardin; Alexandre Fafin; Christian Dufour; Fabrice Gourbilleau
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Paper Abstract

A comparative study of the gain achievement is performed in a waveguide optical amplifier whose active layer is constituted by a silica matrix containing silicon nanograins acting as sensitizer of either neodymium ions (Nd3+) or erbium ions (Er3+). Due to the large difference between population levels characteristic times (ms) and finite-difference time step (10−17s), the conventional auxiliary differential equation and finite-difference time-domain (ADE-FDTD) method is not appropriate to treat such systems. Consequently, a new two loops algorithm based on ADE-FDTD method is presented in order to model this waveguide optical amplifier. We investigate the steady states regime of both rare earth ions and silicon nanograins levels populations as well as the electromagnetic field for different pumping powers ranging from 1 to 104 mW/mm2 . Furthermore, the three dimensional distribution of achievable gain per unit length has been estimated in this pumping range. The Nd3+ doped waveguide shows a higher gross gain per unit length at 1064 nm (up to 30 dB/cm-1) than the one with Er3+ doped active layer at 1532 nm (up to 2 dB/cm-1). Considering the experimental background losses found on those waveguides we demonstrate that a significant positive net gain can only be achieved with the Nd3+ doped waveguide. The developed algorithm is stable and applicable to optical gain materials with emitters having a wide range of characteristic lifetimes.

Paper Details

Date Published: 16 March 2015
PDF: 13 pages
Proc. SPIE 9357, Physics and Simulation of Optoelectronic Devices XXIII, 935709 (16 March 2015); doi: 10.1117/12.2077611
Show Author Affiliations
Julien Cardin, Ctr. de Recherche sur les Ions, les Matériaux et la Photoniquem CNRS, Univ. de Caen Cedex 4 (France)
Alexandre Fafin, Ctr. de Recherche sur les Ions, les Matériaux et la Photoniquem CNRS, Univ. de Caen Cedex 4 (France)
Christian Dufour, Ctr. de Recherche sur les Ions, les Matériaux et la Photoniquem CNRS, Univ. de Caen Cedex 4 (France)
Fabrice Gourbilleau, Ctr. de Recherche sur les Ions, les Matériaux et la Photoniquem CNRS, Univ. de Caen Cedex 4 (France)


Published in SPIE Proceedings Vol. 9357:
Physics and Simulation of Optoelectronic Devices XXIII
Bernd Witzigmann; Marek Osiński; Fritz Henneberger; Yasuhiko Arakawa, Editor(s)

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