IOSR Journal of Electronics and Communication Engineering (IOSR-JECE) e-ISSN: 2278-2834,p- ISSN: 2278-8735.Volume 11, Issue 6, Ver. II (Nov.-Dec .2016), PP 01-11 www.iosrjournals.org DOI: 10.9790/2834-1106020111 www.iosrjournals.org 1 | Page Top Efficiency on Communication Theory J. M. Velázquez-Arcos, J. Granados-Samaniego and T. D. Navarrete-González Universidad Autónoma Metropolitana, México Abstract: Nowadays we know that at least for discrete systems there is an equivalence between Time Reversal and the use of meta materials for the so called overcoming of the diffraction limit. But it remains a question concerning the efficiency on transporting information. In this paper, we make a review of some previous works to the end of make a fusion between the uses of any of these two equivalent phenomena and two new fields namely the Plasma Sandwich Model, and the association of a new class of electromagnetic resonances and left- hand-materials conditions. On the aim to obtain a rule that guides us for obtaining an observable parameter we recall some of our results concerning communication theory and we define a measure of the loss of information when left-hand materials conditions domains a broadcasting process. We then obtain a more general recipe that can be applied also for understanding left-hand material properties and other related physical systems. Because on the theory appears naturally the Green functions, we give a special place for the retarded and advanced versions of them. As an extremely important result we show how we can link the concepts of recording time and resonances to give a singular algorithm to push the efficiency to the top. Also we give a simple academic example and show how this operates. Keywords: Communication theory, Time reversal, Resonances on a channel, Left-hand materials. I. Introduction Currently, the new ways of transmitting information are pushing Communications to extreme challenges. We have noted that it is well known, that random scattering of microwave or radio signals may enhance the amount of information that can be transmitted over a channel. This is because the phase space where the transmitting phenomena occur grows with every single collision of the initial signals because the scattered ones reach another phase space regions and any new region provides additional information. But Communications involves not only anelectromagnetic waves issue and indeed we have an equivalent behavior in acoustics.The meaning of the sentence“overcoming of the diffraction limit”is maybe a point of viewof physical phenomena in which we can observe an unusual concentration of a signal but the only very important think is the amazing of that localization. Whatever we know that the tools emerged from different works have increased the ways to improve the signals focusing and to avoid the loose of information. Time reversal, or phase conjugation in the frequency domain, is a process where a source at one location transmits sound or electromagnetic waves, which are received at another location, time reversed (or phase conjugated), and retransmitted. The retransmitted signals then focuses back at the original source location, where the reception is relatively free of multipath contamination. If we compared with the free space resolution, the multiple scattering of the obstacles enlarged the effective aperture in the so-called Time Reversed Mirror for acoustic signals provided they are placed in aleatory manner. The focal properties of the time-reversal process were able to suppress cross talk even though the receivers were at the same range and only separated by depth. In this work we recall some of our results and explore how information theory can help us to define a measure of the lack of information in Time Reversal Techniques no matter if we talk of electromagnetic nor acoustic waves, but now we add a very innovating chapter on Communications that is the role of the new models of resonating broadcasting[1-12]. And even when technically it is not possible to measure different recording times for electromagnetic waves we can alternatively uses those times as very important parameters. Indeed we introduce the recording time explicitly in the advanced Green function. We assume that our lack of information measure is also validfor understanding left-hand materials properties[13-18]. II. Left and right hand materials Materials existing in nature have a positive refraction index. These are called Right Hand Materials (RHM) in order to distinguish them from artificially created materials which have a negative refraction index, and which are called Left Hand Materials (LHM) [13-18]. The complex refraction index n is defined as the quotient of the velocities of an electromagnetic wave in the medium and in empty space. This refraction index can be written in terms of the magnetic permeability μ and electric