Erbium-doped holey fiber with hexagonal lattice was modeled by using effective index method. In order to calculate the equivalent step index of the periodic structure of the cladding holey optical fiber, all-vectorial fundamental space filling mode approach was utilized. By using EH11 mode, we have numerically solved the rate equations of a three-level pumping scheme for a fiber laser. The obtained results have shown a good agreement with the other experimental results, recently. The results have predicted amplifiers with gain efficiencies as high as 10 dB/mW. OCIS codes: 060.2310, 060.2410, 060.2320, 140.3500, 140.4480. doi: 10.3788/COL20080609.0644. In erbium doped fiber amplifiers (EDFAs), to obtain high gain efficiency one needs to use fibers with high numerical aperture (NA) to achieve the maximum population inversion of the erbium ions. It is useful to confine the erbium ions to the central part of the core to enforce the pumping light propagating with the fundamental HE11 mode [1,2] . Germanium-doping, which is used in the core of high NA fiber, reduces the emission bandwidth of the Er 3+ ions and limits its concentrations. This results in narrower gain bandwidths and increases the device
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