Reflection(R(ω)), transmission(T(ω)) and loss(L(ω)) characteristics of multi-layer metamaterials are investigated experimentally in free space with the incident EM waves perpendicular to the substrate plane. The sample is made of split-ring resonators(SRRs) and wires which are the typical model of metamaterials. The R(ω) and T(ω) of multi-layer metamaterials have been calculated from the measured S-parameters. In this paper, we got the impedancematched result according to the curves of R(ω), meanwhile the T(ω) decreased with increasing number of layers. At last, we attained the result that the L(ω) gets to nearly 98% around 8 GHz, with R(ω)=T(ω)=0. The design presented in this paper achieves experimented loss near unity.
Ⅰ. IntroductionRecently, metamaterials with a negative index of refraction have attracted great attention due to their fascinating electromagnetic(EM) properties. It was Veselago who introduced the term "left-handed substances" in his seminal work published in 1968 [1] . Until 1996, Pendry et al. successively proposed a theoretical model that could realize negative permittivity by periodic arrangement of metallic wires [2] and negative permeability by periodic array of split-ring resonators(SRRs) [3] . In 2000, Smith et al. designed artificial materials at microwave frequen cies [4] , and the negative refraction was also experimentally verified in the wedge prism of metamaterials [5] . Metamaterials have many peculiar electromagnetic properties, such as reversed Doppler shift [6] , Cherenkov radiation [7] , and Snell effect [8], [9] , etc. At present, the research of metamaterials focuses on the incident EM wave parallel to the metamaterials samples plane. Most experiment used lithography which etches the cycle with single-layer structure of metal pattern on media substrate. Because it is difficult to realize the structure design of metamaterials by the methods of paralleling to the substrate plane. There is an urgent need to allow the incident EM waves to be perpendicular to the substrate plane [10] . In this work, we mainly reported the experiment of reflection, transmission and losses of metamaterials with the incident electromagnetic wave perpendicular to the sample substrate plane. The sample was the typical model of the SRRs and wires. We have experimented for multi-layer metamaterials in free space. The characteristics of the R(ω), T(ω) and L(ω) of metamaterials with various layers were investigated in detail. Fig. 1 shows the structure of the designed samples. The samples consisted of an array of the SRRs and continuous wires. Fig. 1(a) illustrates the structure of SRRs, where r presents the radius of the SRRs, t is the width of each ring, w is the spacing between the two rings in a single SRRs's structure, and g is the gap of each ring. In Fig. 1(b), wires structure is illustrated, d is the width of the wire and a is the cell side of the square lattice. The size parameters are listed as the following: a=1.0
Ⅱ. Experiments 2-1 Sample Preparation-3 m, l=1.4×10 -3 m, g=3.0×10 -4 m...