单负材料一维光子晶体超窄带滤波特性研究

Characteristics of super narrow band filtering of single-negative materials with one-dimensional photonic crystal

用传输矩阵法研究了单负材料一维光子晶体(ABD)m(CBA)n(ABD)m(CBA)n的透射谱。结果表明:当增加周期数m或D层介质厚度dD时,透射谱中的两个隧穿模越加锋锐,但所处频率位置不变;当增加周期数n或C层介质厚度dC时,透射谱中的两个隧穿模向中间靠拢趋于简并;当增加A层介质厚度dA时,透射谱中双隧穿模结构及位置无变化,而当增加B层介质厚度dB时,透射谱中的三模结构向低频方向移动,且逐渐消失;随着入射角θ的增大,透射谱中两隧穿模向禁带中心靠拢。利用单负材料光子晶体的透射谱特性可实现可调性和高品质的单、多通道超窄带滤波功能。

The transmission spectra of one-dimensional photonic crystal （ABD） m （CBA） n （ABD） m （CBA） n is studied by transfer matrix method. The result shows that when the number of period m or the thickness dD of layer D is in- creased, the two resonant tunneling modes in the transmission spectra become narrower, but their frequencies remain un- changed; with the increase of the number of period n or the thickness dc of layer C, the two resonant tunneling modes get close to the middle and tend to degenerate; then the structure and the location of the di-resonant tunneling modes stay the same along with the increase of the thickness dA of layer A; while as the thickness dB of layer B is increased, the structure of the tri-resonant tunneling modes shift to low frequency then gradually disappear; and with the increase of the incident angle O, the two resonant tunneling modes get close to the middle of the band gap. These transmission spectra characteristics can make the single-channel and double-channel filters both adjustable and quality.