Abstract
We derive an analytical formulation of the Raman-induced frequency shift
experienced by a fundamental soliton. By including propagation losses,
self-steepening, and dispersion slope, the resulting formulation is a
high-order (HO) extension of the well-known Gordon’s formula for soliton
self-frequency shift (SSFS). The HO-SSFS formula closely agrees with
numerical results of the generalized nonlinear Schrödinger equation, but
without the computational complexity and required computation time. The
HO-SSFS formula is a useful tool for the design and validation of
wavelength conversion systems and supercontinuum generation systems.