为了设计高品质、高性能的光学滤波器件, 采用传输矩阵法, 研究左右手材料构成的光子晶体(HL)mDl(LH)m的窄带和宽带通道双重光学滤波功能, 并进行了计算机仿真。介质层H是左手或右手材料时, 随着排列周期数m增大, 在频率ω/ω0奇数倍处均出现单条窄透射峰; 当m不等值变化时, ω/ω0奇数倍处透射峰透射率均下降且下降速度相同, 而ω/ω0偶数倍处通带透射率不变; H为左手材料时, ω/ω0偶数倍处还出现通带, 且m越大透射峰或通带越窄, ω/ω0奇数倍处及周围还出现多条窄透射峰。结果表明, 光子晶体由左右手材料组成时将得到更好的宽、窄带双重光学滤波效果及调制方法。该研究对新型光学滤波器件的研究和设计具有指导作用。

In order to design optical filter components with high-quality and high-performance, transfer matrix method was used to study the narrowband and broadband dual channel optical filtering function of photonic crystal (HL)mDl (LH)m. Computer simulation was performed. The simulation results show that, whether the dielectric layer H is left hand material(LHM) or right hand material(RHM), with the increasing of cycle number m, a single narrow transmission peak always appears at odd times of ω/ω0. With irregular variations of m, the transmission rate of transmission peak at odd times of ω/ω0 will decrease at the same speed and the transmission rate of pass band at even times of ω/ω0 will unchanged. When H is LHM, more narrow transmission peaks appear at odd times of ω/ω0 and pass band appears at even times of ω/ω0。The bigger m is, the narrower the bandwidth of transmission peak or pass band is. The results show that photonic crystal made of LHM and RHM will provide better narrowband and broadband dual channel filtering effect and modulation. The study has the guiding role in the research and design of new optical filters.