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Chaos Solitons & Fractals

Chaotic ring-shaped soliton structures in the nonlinear refractive index associated with the Milnor polynomial in an atomic medium

Anwarud Din, Abdul Jabar, Tahir Khan, Il Hyo Jung, Einas M. A. Widaa, Ehssan Mohammed Ahmed Abdalrhim

Published Jul 18, 2026• 0 citations
Publisher
DOI
10.1016/j.chaos.2026.118822

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The generation of spatial bright solitons of reflection and transmission pulses and their intensities are investigated in a sodium atomic medium using Gaussian Milnor polynomial control fields. Significant bright and dark ring-shaped solitons are controlled by balancing nonlinearity and dispersion along two spatial coordinates. The intensity is more localized along one of the spatial coordinates due to larger nonlinearity and spread along other spatial coordinates due to smaller nonlinearity in the reflection pulse. A circular, crater-type bright soliton intensity is also maintained around the origin of the x and y coordinates, exhibiting varying intensity along the circumference. A large, bright intensity peak is observed around the origin, with the intensity minima at the center in reflection. The intensity peaks are enhanced in one of the spatial coordinates and localized in another coordinate in reflection. A large Gaussian-type bright solitonic intensity distribution is investigated at approximately y=0λ throughout the variation along the x-axis in the transmission pulse pattern. The reflection and transmission pulse intensities vary from 0% to 40% , and at least 20% of the intensity of the incident pulse is lost by attenuation. The modified results are useful in optical communications, fiber optics, optical computation, signal processing, radar technology, and artificial neural networks.
An optical fiber consists of a transparent core surrounded by a transparent cladding material with a lower refractive index. Fibers which can be used for many propagation paths or transverse modes are called Multi-Mode Fibers whereas those which can only support a single mode are called Single Mode Fiber. Optical solitons are localized as electromagnetic waves that propagate in nonlinear media resulting from a balance between nonlinearity and linear broadening due to dispersion and/or diffraction. Ring resonators are employed to generate signals used for optical communication applications, where they can be integrated in a single system. A PANDA ring resonator can be used to generate chaotic signals. Slow light refers to the control of the light velocity in a particular medium. Slow light techniques can be used for future optical communication systems, including optical buffering, data synchronization and optical memories.