Multiple-vibrational-mode model for fiber-optic Raman gain spectrum and response function

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We describe a model for the stimulated Raman gain spectrum and the Raman response function in silica fiber using multiple vibrational modes. We base the model on previous spectroscopic data [J. Opt. Soc. Am. B1, 652 (1984) and J. Opt. Soc. Am. B6, 1159 (1989)] and extend an earlier proposed model [Appl. Opt.21, 359 (1982)] by making use of an inhomogeneous distribution of damped oscillators. The model provides a simple analytical expression for the Raman response function and an expression for the Raman gain spectrum that is easy to evaluate numerically.