Theoretical investigation of the more suitable rare earth to achieve   high gain in waveguide based on silica containing silicon nanograins doped   with either Nd3+ or Er3+ ions
  We present a comparative study of the gain achievement in a waveguide whose active layer is constituted by a silica matrix containing silicon nanograins acting as sensitizer of either neodymium ions (Nd3+) or erbium ions (Er3+). By means of an auxiliary differential equation and finite difference time domain (ADE-FDTD) approach that we developed, we investigate the steady states regime of both rare earths ions and silicon nanograins levels populations as well as the electromagnetic field for different pumping powers ranging from 1 to 104 mW/mm2. Moreover, the achievable gain 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) than the one with Er3+ doped active layer at 1532 nm (up to 2 dB/cm). Taking into account the experimental background losses we demonstrate that a significant positive net gain can only be achieved with the Nd3+ doped waveguide. 
Alexandre Fafin (CIMAP - UMR 6252), Julien Cardin (CIMAP - UMR 6252),   Christian Dufour (CIMAP - UMR 6252), Fabrice Gourbil...
physics.optics cond-mat.mtrl-sci physics.comp-ph