ANALYTIC MODELING OF ERBIUM-DOPED FIBER AMPLIFIERS ON THE BASIS OF INTENSITY-DEPENDENT OVERLAPPING FACTORS

Rate equations based on intensity-dependent overlapping factors are in tegrated to obtain analytic solutions for pump, signal, and amplified spontaneous emission (ASE), even when the coupled signal varies with t ime. The equations can be applied without the imposition of any restra ints on the values of the pump, signal, and ASE powers, the excited-st ate-absorption cross section, the erbium-density distribution, or othe r parameters that characterize the fiber. The methods used to calculat e pump, signal, and ASE powers are discussed. Experimental techniques to characterize the doped fiber that were based on these analytic expr essions are introduced.