“The book will be useful primarily to highly specialized readers, already well acquainted with the subject of nonlinear optical waves. The audience benefiting from studying this item could be greatly expanded if the book began with a chapter introducing the less advanced reader to pertinent techniques of the mathematical description of nonlinear waves.” (Radosław Szmytkowski, zbMATH 1546.78002, 2024)
Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN)
von Thokala Soloman RajuThis book highlights the dynamical behavior of self-similar waves in graded-index waveguides in (1+1)-dimensions and (2+1)-dimensions. The mechanism to control these optical similaritons by tailoring the tapering profile is presented. Various nonlinear waves like rogons, butterfly-shaped, and dromion-like waves and their controllable behavior are discussed in detail. The phenomenon of unbreakable Parity-Time symmetry of some of these waves has been delineated for different variety of solvable potentials. Compression of these exotic waves has been demonstrated for dispersion decreasing fiber and periodic management of dispersion and nonlinearity parameters. Competing cubic-quintic nonlinearity scenario and its potential implication on the dynamics of these similaritons has been described in detail. Symbiotic self-similar rogue waves have been discussed in (2+1)-dimensional garded-index waveguide. The book also includes numerical simulations that complement these analytical insights.
