Metamaterial Device Design And Simulation Based On A Two-dimensional LC Network

Metamaterials are kinds of artificial composite materials, whose permittivity and/or permeability can be changed continuously from negative to positive values. There are two types of special metamaterials, one is the double negative materials, whose permittivity and permeability are negative, be called as the "left hand materials", has many extraordinary electromagnetic properties, including negative refraction, inversed Doppler effect, reversed Cerenkov and evanescent wave amplification effect, etc.; The other is zero-electric and zero-magnetic materials, whose permittivity and permeability are near zero, can compress electromagnetic waves, form electromagnetic waves tunnels. And it has electromagnetic wave super-coupling, super compression effect and phase adjustment effect. The metamaterials greatly attract scientists’research interests due to their fantastic properties, and a series of metamaterial devices have been designed.There are several ways to design metamaterial devices, among of them, transmission line method is the important ways widely used in the metamaterial devices design and performance analysis in recent years. The principle is to use the transmission line theory to connect and combine various circuit components (inductors, capacitors, etc.), using periodic series and parallel circuits to simulate various material parameters (permittivity and permeability, etc.). Through the analysis and study of the equivalent circuit to obtain the method of material properties, the electromagnetic devices made by transmission line have the unique properties of wide frequency bandwidth and low loss, can better design and simulate various metamaterial devices.In this paper, we model and simulate various metamaterials which have positive,zero and negative permittivity and permeability based on LC network using the transmission line theory, design several kinds of matamaterial devices, and simulate and analyze their electromagnetic properities and potential applications:1. Design a focuser and a multi-beam antenna based on zero electromagnetic materials, the simulation results show that the electromagnetic energy will be focused into the center of the focuser by electromagnetic focuser, and it can superimpose the electromagnetic energy from arbitrary directions, the focusing effect is independent on the shape of the focuser, when the focusing area is smaller than twice of the wavelength; The multi-beam antenna can use to control arbitrarily the direction and power of the electromagnetic radiation, the radiation power increases with the number of the excited sources, and the antenna directivity and radiation energy depends largely on the shape and size of the antennas, and the relationship between the directional characteristic and the radiation power of the antenna and the shape and size of the zero electromagnetic materials, is restricting each other, so we should make a balance in real application.2. Design an electromagnetic gateway by double negative materials, and its performance is simulated. It should be note that, such an gateway can allow or block particular frequency electromagnetic wave propagating through the channel, and it possesses better invisible performance and wide band characteristics.3. Based on the theory of surface WGM, we disign a SWGM metamaterial sensor,simulate the performance of the sensor, and analyze and discuss two cases of the homogeneous sensing and the surface sensing. Compared with the traditional WGM sensor, due to evanescent wave amplication effect of metamaterials, the SWGM sensor has much higher sensitivity.For all devices in our design, according to the specific performance requirements, we can adjust flexibly the circuit parameters, shape, size, work frequency, etc. The research results of this paper can open an avenue for the application of metamaterials, and provide guidance for design specific devices.