We describe a robust shooting algorithm to model backward-pumped Raman amplifiers. This algorithm uses a continuation method and a Jacobi weight in conjunction with the shooting algorithm. We compare this algorithm to the commonly used relaxation algorithm. We find that the shooting algorithm is more flexible, in that it can be applied to amplifiers in which one fixes the gain, in contrast to the standard relaxation algorithm, which can be applied only to two-point boundary-value problems. However, it is less efficient when applied to two-point boundary-value problems, in that it requires more computer time. (c) 2005 Optical Society of America.
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