In this paper, the tunneling phenomenon occurring at the interface with great impedance contrast is investigated by numerical calculation. It is found even in this case, per- fect transmission can still be achieved theoretically when nonconjugated sub-wavelength epsilon- negative (ENG) and mu-negative (MNG) metamaterial pair is introduced. Moreover, the calcu- lated electromagnetic fleld distributions show that, only one component of the tunneling mode (either the electric or the magnetic fleld) is amplifled, suppressing another one at the same time. Therefore, the nonconjugated ENG-MNG pair is promising to be applied in modern optic and microwave communication systems for less re∞ection, compact device volume and ∞exible control of EM fleld distribution. 1. INTRODUCTION As is known, re∞ection is a common and inevitable optical phenomenon for interfaces with notable impedance contrast. To enhance the transmission, many methods are introduced. For instance, in optics, quarter-wavelength antire∞ective coatings are widely used to reduce the re∞ection of optical devices (1{3). In order to achieving perfect transmission e-ciency, multiple antire∞ective layers should be involved. Therefore, the length of these layers will be very long, which greatly restricts the possibility to design compact optical communication devices with high transmission e-ciency. Metamaterials (4{16), which have attracted wide interests recently, may be a solid candidate to solve this problem. Metamaterials include double negative (DNG) materials (both the permittivity and the permeability are negative) and single negative (SNG) materials (only one of the permittivity or the permeability is negative). In SNG materials, the EM waves are evanescent since their wave vectors are complex. In particular, a tunneling scenario will emerge when a pair of lossless ENG and MNG slabs is conjugated matched between two similar half spaces. In this paper, we investigate the tunneling phenomenon occurring at the interface between two difierent materials with great impedance contrast by numerical calculation. It is shown that, when a nonconjugated sub-wavelength epsilon-negative (ENG) and mu-negative (MNG) metamaterial pair is introduced between two difierent materials with great impedance contrast, perfect transmission can still be achieved theoretically. The tunneling condition of the nonconjugated ENG-MNG pair in above case is also flgured out. Moreover, the calculated electromagnetic fleld distributions show clearly that, by choosing proper parameters we can even amplify only one component of the tunneling mode (either the electric or the magnetic fleld), suppressing another one at the same time. Therefore, the nonconjugated ENG-MNG pair is promising to be applied in modern optic and microwave communication systems for less re∞ection, compact device volume and ∞exible control of EM fleld distribution.
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