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利用传输矩阵法理论,通过数值计算模拟的方法,研究双负介质对一维光子晶体透射能带谱的影响。结果表明:当C介质由双正介质变成双负介质时,光子晶体(CBAABC)n的禁带、能带和光子晶体(AB)m(CBAABC)n(BA)m的透射峰均出现明显的简并现象,即前者相邻多禁带和多能带结构简并为较宽的单禁带和单能带结构,后者的透射峰由2n+1条简并成2n-1条;当双负介质C的光学厚度负值减小时,光子晶体(AB)m(CBAABC)n(BA)m的透射峰向禁带中心靠拢,出现简并趋势。双负介质对光子晶体透射能带谱的简并效应,为光子晶体设计光学滤波器件、光学开关等提供参考。
The transfer matrix theory is used to study the influence of double negative medium on the transmission band spectrum of one-dimensional photonic crystals by numerical simulation. The results show that the band gap and band gap of CBAABC n (BA) m (CBAABC) n (BA) m are all obvious when C medium changes from double positive to double negative. The degeneracy phenomenon of the former is that the former has many single forbidden band and single band structure degenerated by the degeneracy of the adjacent multi-band gap and multi-band structure, and the latter has the transmission peak degenerated into 2n-1 by 2n + 1; When the negative optical thickness of double negative medium C decreases, the transmission peak of photonic crystal (AB) m (CBAABC) n (BA) m moves towards the center of the forbidden band, degenerating tendency appears. The degeneracy effect of double negative medium on the transmission band spectrum of photonic crystals provides a reference for the design of photonic crystal optical filters and optical switches.