A Study Of FDTD Algorithm And Electromagnetic Characteristics Of Left-Handed Materials

Left-Handed materials is a new kind of artificial electromagnetic materials, it has a variety of unique electrical and magnetic properties to be applied in many areas, this paper discusses the left-handed materials in the directional radiation, and the application of metamaterial cloak. We conclude the relationship between the physical dimensions and the operating frequency in the design of Left-Handed materials, then study the calculation method of L, C parameter of Left-Handed materials equivalent circuit model, and design a left-handed materials cover which is suitable for mobile phone antenna, so that the antenna can achieve directional radiation.As the preparation process of Left-Handed materials is relatively complex, and generally we use the electromagnetic simulation algorithm firstly to get the theoretical prediction of its electromagnetic properties, so we use Finite Difference Time Domain algorithm to get the full-wave electromagnetic simulation result. In this paper, we get the differential expression in the anisotropy media and simulate the three-dimensional metamaterial cloak.Because the Left-Handed materials is a type of dispersive media, and its geometry is very complex, so when we need a lot of computing time and resource, in order to get the high accuracy and save the computational resource, we propose the Piecewise Linear Recursive Convolution Weakly Conditional Stability algorithm which can save a lot of computer resources while meeting the required precision.Using the Piecewise Linear Recursive-Convolution Weakly Conditional Stability algorithm, we study the effect of dispersive substrate of microstrip antenna, then discuss the difference of return loss and input impendence between dispersive and nondispersive substrate model, and we find that the resonant frequency of dispersive model is slightly lower than nondispersive model, meanwhile, the input impendence for the dispersive substrate model is lower than the nondispersive model. To summarize, we use Finite-Difference Time-Domain algorithm to simulate the Left-Handed materials electromagnetic properties in this paper, and in the process we propose the high accurate and efficient Piecewise-Linear-Recursive-Convolution Weakly-Conditional-Stability algorithm for dispersion medium.