Dynamics of self-similar pulse generated in normal dispersion-decreasing fiber

Dynamics of self-similar pulse generated in normal dispersion-decreasing fiber

Self-similar pulse can be generated in a normal dispersion-decreasing fiber. We show that the dynamics of self-similar pulse evolution is governed by the different spectrum broadening mechanisms in the different stages, which is confirmed by the typical pulse spectral structures with amplitude noise added.

Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers

Pulse propagation in high-gain optical fiber amplifiers with normal group-velocity dispersion has been studied by self-similarity analysis of the nonlinear Schrödinger equation with gain. For an amplifier with a constant distributed gain, an exact asymptotic solution has been found that corresponds to a linearly chirped parabolic pulse that propagates self-similarly in the amplifier, subject to...

Nonlinear pulse propagation in dispersion decreasing fibers

By numerically solving the nonlinear Schrodinger equation, we analyze pulse propagation through dispersion decreasing optical fibers (DDFs) in which the core radius varies along the length of the fiber; this in turn leads to a variation of dispersion as well as mode effective area along the length of the fiber. We calculate an optimum core radius profile required to create a local balance betwe...

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...

Theory of parabolic pulse propagation in nonlinear dispersion decreasing optical fiber amplifiers