Gain in europium-chelate-doped polymer-optical-fiber amplifiers

A model of partial differential rate equations for the analysis of signal gain in typical europium-chelate-doped polymer optical fibers is presented and solved by a method of finite differences. The qualitative reliability of some of the results is confirmed by means of a simplified analytical expression. Typical types of chelates at various concentrations are studied in order to be able to optimize the fiber length and pumping conditions for attainment of maximum signal gain.