Patent ID: 6381560
Filing Date: 2002-04-30
Classification: H01S

Abstract:
A method of modeling with a digital computer a section of erbium doped fiber having a length l and a fractional population density of erbium ions in an excited state due to pumping of the section of erbium doped fiber by a laser to save modeling and computation time wherein the fiber supports N optical channels such that power propagation along the fiber is characterized by N+1 differential equations as a function of a direction of propagation z of the channels along the length, comprising the steps of:applying an average inversion model to a spatially averaged inversion level of the erbium ions in the fiber having the length l to reduce the N+1 differential equations to a single equation for the spatially averaged inversion level; deriving an expression for output power due to pumping at a boundary condition of the fiber; storing the derived expression for output power in a memory of the digital computer; and solving analytically in the computer the single equation for an inversion level at an arbitrary point along the direction of propagation z of the fiber having the length l using the stored output power expression.