Perturbative analytical treatment of adiabatically moderated soliton self-frequency shift

We provide a perturbative analytical treatment of the soliton self-frequency-shift (SSFS) in optical fibers including the main physical mechanisms limiting the SSFS, such as the high-order dispersion, the wavelength dependence of the effective mode area, and optical loss. We use this approach to estimate the frequency shift of a soliton with adiabatically varying local parameters and compare this estimate with the results of numerical simulations for SSFS in photonic-crystal fibers. This comparison shows that, in many situations of practical interest, the proposed approach can adequately predict important tendencies of SSFS, and allows a fair estimation of characteristic length scales for the mechanisms limiting the SSFS.