Thanks to Victor Veselago for his hypothesis of negative index of refraction, metamaterials -engineered composites -can be designed to have properties difficult or impossible to find in nature: they can have both electrical permitivity (ǫ) and magnetic permeability (µ) simultaneously negative. The metamaterials -henceforth negative-index materials (NIMs) -owe their properties to subwavelength structure rather than to their chemical composition. The tailored electromagnetic response of the NIMs has had a dramatic impact on the classical optics: they are becoming known to have changed many basic notions related with the electromagnetism. The present article is focused on gathering and reviewing the fundamental characteristics of plasmon propagation in the coaxial cables fabricated of the right-handed medium (RHM) [with ǫ > 0, µ > 0] and the left-handed medium (LHM) [with ǫ < 0, µ < 0] in alternate shells starting from the innermost cable. Such structures as conceived here may pave the way to some interesting effects in relation to, e.g., the optical science exploiting the cylindrical symmetry of the coaxial waveguides that make it possible to perform all major functions of an optical fiber communication system in which the light is born, manipulated, and transmitted without ever leaving the fiber environment, with precise control over the polarization rotation and pulse broadening. The review also covers briefly the nomenclature, classification, potential applications, and the limitations (related, e.g., to the inherent losses) of the NIMs and their impact on the classical electrodynamics, in general, and in designing the cloaking devices, in particular. Recent surge in efforts on invisibility and the cloaking devices seems to have spoiled the researchers worldwide: proposals include not only a way to hide an object without having to wrap the cloak around it, but also to replace a given object with another, thus adding to the deception even further! All this is attributed as much to the fundamental as to the practical advances made in the fabrication and characterization of NIMs. The report concludes addressing briefly the anticipated implications of plasmon observation in the multicoaxial cables and suggesting future dimensions worth adding to the problem. The background provided is believed to make less formidable the task of future writers of reviews in this field. The civilization of the ancient Greeks, Hindus, and Romans has been immensely influential on the art, education, architecture, language, politics, philosophy, science, and technology of the modern world: from the surviving fragments of classical antiquity until the Renaissance in Western Europe. While descriptions of disciplined empirical scientific methods have been employed since the Middle Ages, the dawn of modern science is generally traced back to the early modern period during what is known as the Scientific Revolution of the 16th and 17th centuries. From the Middle Ages to the Enlightenment, the preferred term for the study of nature a...