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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 20 — Oct. 7, 2013
  • pp: 24171–24184

Modeling of the electromagnetic field and level populations in a waveguide amplifier: a multi-scale time problem

Alexandre Fafin, Julien Cardin, Christian Dufour, and Fabrice Gourbilleau  »View Author Affiliations

Optics Express, Vol. 21, Issue 20, pp. 24171-24184 (2013)

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A new algorithm based on auxiliary differential equation and finite difference time domain method (ADE-FDTD method) is presented to model a waveguide whose active layer is constituted of a silica matrix doped with rare-earth and silicon nanograins. The typical lifetime of rare-earth can be as large as some ms, whereas the electromagnetic field in a visible range and near-infrared is characterized by a period of the order of fs. Due to the large difference between these two characteristic times, the conventional ADE-FDTD method is not suited to treat such systems. A new algorithm is presented so that the steady state of rare earth and silicon nanograins electronic levels populations along with the electromagnetic field can be fully described. This algorithm is stable and applicable to a wide range of optical gain materials in which large differences of characteristic lifetimes are present.

© 2013 OSA

OCIS Codes
(160.5690) Materials : Rare-earth-doped materials
(230.5590) Optical devices : Quantum-well, -wire and -dot devices
(230.7370) Optical devices : Waveguides
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(230.4480) Optical devices : Optical amplifiers

ToC Category:
Optical Devices

Original Manuscript: July 22, 2013
Revised Manuscript: September 16, 2013
Manuscript Accepted: September 17, 2013
Published: October 2, 2013

Alexandre Fafin, Julien Cardin, Christian Dufour, and Fabrice Gourbilleau, "Modeling of the electromagnetic field and level populations in a waveguide amplifier: a multi-scale time problem," Opt. Express 21, 24171-24184 (2013)

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