Methods of modeling erbium doped fiber amplifiers
US6381560B1 · kind B1 · utility
Assignee
Inventors
Key dates
| Filing date | Dec 9, 1999 |
| Grant date | Apr 30, 2002 |
| Priority date | — |
| Expiry date | Dec 9, 2019 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH01S3/1608
- WIPO fieldOptics
- WIPO sectorInstruments
Abstract
A method of modeling erbium doped fiber (“EDF”) for use in erbium doped fiber amplifiers (“EDFA”). The EDF has a length and a fractional population density of erbium ions in an excited state. Since the EDF supports N channels, the power propagation along the EDF is characterized by N+1 differential equations as a function of the direction of propagation, z, of the channels along the length l of the EDF and the time t. By applying an average inversion model to a spatially averaged inversion level of the erbium ions in the fiber, the N+1 partial differential equations are reduced to a single ordinary differential equation. This allows an analytical solution at the boundary and initial conditions of the fiber so that an expression for the power of the signal propagating along the fiber can be obtained. With this expression, the single equation can be solved analytically for the inversion level at any point along the EDF.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.