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A comparative study of the gain achievement is performed in a waveguideoptical amplifier whose active layer is constituted by a silica matrixcontaining silicon nanograins acting as sensitizer of either neodymium ions (Nd3+) or erbium ions (Er 3+). Due to the large difference between populationlevels characteristic times (ms) and finite-difference time step (10 --17 s),the conventional auxiliary differential equation and finite-differencetime-domain (ADE-FDTD) method is not appropriate to treat such systems.Consequently, a new two loops algorithm based on ADE-FDTD method is presentedin order to model this waveguide optical amplifier. We investigate the steadystates regime of both rare earth ions and silicon nanograins levels populationsas well as the electromagnetic field for different pumping powers ranging from1 to 10 4 mW.mm-2. Furthermore, the three dimensional distribution ofachievable gain per unit length has been estimated in this pumping range. TheNd 3+ doped waveguide shows a higher gross gain per unit length at 1064 nm (upto 30 dB.cm-1) than the one with Er 3+ doped active layer at 1532 nm (up to 2dB.cm-1). Considering the experimental background losses found on thosewaveguides we demonstrate that a significant positive net gain can only beachieved with the Nd 3+ doped waveguide. The developed algorithm is stable andapplicable to optical gain materials with emitters having a wide range ofcharacteristic lifetimes.

proceedings of spie, the international society for optical engineering/proceedings of spie

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