High-order analytical formulation of soliton self-frequency shift

Soliton self-frequency shift: Self-similar solutions and their stability.

Ultrashort pulse propagation in fibers is affected by intrapulse Raman scattering (IRS) which causes both a linear frequency downshift and a quadratic displacement of the peak pulse, as functions of the propagation distance. This effect has been known and treated by perturbation methods applied to the nonlinear Schrödinger equation since the period of intense research on soliton propagation. He...

Enhanced Soliton Self-Frequency Shift in a Longitudinally Varying Taper

An analytical formulation for soliton-potential dynamics

An analytical model for the soliton-potential interaction is presented, by constructing a collective coordinate for the system. Most of the characters of the interaction are derived analytically while they are calculated by other models numerically. We find that the behaviour of the soliton is like a point particle ’living’ under the influence of a complicated potential, that is a function of s...

Theory and measurement of the soliton self-frequency shift and efficiency in optical microcavities: publisher's note.

This note points out two corrections that were omitted from the published version of the article [Opt. Lett.41, 3419 (2016)OPLEDP0146-959210.1364/OL.41.003419].

Theory of the soliton self-frequency shift compensation by the resonant radiationin photonic crystal fibers.

We develop a theory of the soliton self-frequency shift compensation by the resonant radiation recently observed in photonic crystal fibers. Our approach is based on the calculation of the soliton plus radiation solution of the generalized nonlinear Schrödinger (GNLS) equation and on subsequent use of the adiabatic theory leading to a system of equations governing evolution of the soliton param...