New photon density rate equation for Fabry-Perot Semiconductor Optical Amplifiers (FP SOAs)

Pengyue Wen, Michael Sanchez, Matthias Gross, Osman Kibar, Sadik C. Esener

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations


Two different approaches are commonly used for Fabry-Perot Semiconductor Optical Amplifiers (FP SOAs) performance analysis: the Fabry-Perot resonator approach and rate equation approach. Compared with the Fabry-Perot resonator approach, the rate equation approach is more powerful because noise and mode-related performance analysis can be included. However, it has been shown that the results based on Fabry-Perot approach contains multiplicative factor which arise from an explicit consideration of the resonator and those factors are missing in the rate equation approach. As a result, the existing rate equations provide a poor description of FP SOAs. Our analysis shows that this is due to the fact that the interference between the injected optical field and the intracavity optical field has not been taken into account properly. In this paper, a new photon density rate equation for Fabry-Perot semiconductor optical amplifiers is derived based on the electric field rate equation. By taking this interference into account, our derivation shows that the input coupling term in the photon density rate equation is a function of the top and bottom mirror reflectivity, as well as the bias condition. Optical gain predictions from this new photon density rate equation match well with experimental measurements.

Original languageEnglish (US)
Pages (from-to)243-250
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2002
Externally publishedYes
EventPhysics and Simulation of Optoelectronic Devices X - San Jose, CA, United States
Duration: Jan 21 2002Jan 25 2002


  • Electric fields
  • Fabry-Perot resonators
  • Interference
  • Optical amplifiers
  • Optical coupling
  • Semiconductor optical amplifiers

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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