Abstract
The generalized Gaussian formalism is applied to praseodymium-doped fluoride fibre amplifiers to obtain accurate analytic expressions for the small signal gain. The effect of confining the dopant to a central portion of the core is investigated. We find that dopant confinement improves the efficiency of these fibre amplifiers. The optimum cutoff wavelength for fibres with confined dopant is longer than that for fibres with fully doped cores.
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