Abstract
The multi-mode nature of cladding pumped schemes and strong nonlinearities in highly Er/Yb-doped fiber amplifiers requires a new modeling method, which can effectively deal with these difficult issues. Our study is motivated by NP’s successful development of a new class of fiber amplifiers that combine multi-mode pumping and high gain per unit length fiber. In this paper, we describe a new modeling method, which combines the beam propagation method (BPM) for the fields and rate equations for the laser medium. The BPM is very effective not only for dealing with the complicated problems of pump propagation, but also allows the flexibility to handle very complicated fiber structures. In our method, the nonlinear rate equations are solved numerically giving accurate solutions for the pump absorption coefficient for BPM. The profile of the pumping field obtained by BPM is then used to determine all characteristics of the amplifiers, such as gain, noise figure etc. The simulation results are in very good agreement with experiments having many different structures and also different concentrations of Er/Yb, as illustrated in Fig. 1 for one- and three-core active fibers.
© 2003 Optical Society of America
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