SPECTRAL MODULATION AND THE GROWTH OF RESONANT MODES ASSOCIATED WITH PERIODICALLY AMPLIFIED SOLITONS

A first-order spectral perturbation theory of resonant modes that evol ve with periodically amplified optical fiber solitons is presented. In contrast with the modulational instability, these modes exhibit a lin ear growth in amplitude with respect to propagation and have a tuning characteristic that follows an inverse square-root dependence on the a mplification period. Numerical results based on a complete solution of the nonlinear Schrodinger equation are also presented that confirm an d quantify this behavior.