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

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

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 and measurement of the soliton self-frequency shift and efficiency in optical microcavities.

Dissipative Kerr cavity solitons experience a so-called self-frequency shift (SFS) as a result of Raman interactions. The frequency shift has been observed in several microcavity systems. The Raman process has also been shown numerically to influence the soliton pumping efficiency. Here, a perturbed Lagrangian approach is used to derive simple analytical expressions for the SFS and the soliton ...

Self-similar fractals and arithmetic dynamics

‎The concept of self-similarity on subsets of algebraic varieties‎ ‎is defined by considering algebraic endomorphisms of the variety‎ ‎as `similarity' maps‎. ‎Self-similar fractals are subsets of algebraic varieties‎ ‎which can be written as a finite and disjoint union of‎ ‎`similar' copies‎. ‎Fractals provide a framework in which‎, ‎one can‎ ‎unite some results and conjectures in Diophantine g...