中文摘要：

提出了一种基于双反射壁型结构的光子晶体窄带滤波器，该滤波器由一个单模谐振腔和两个反射壁构成．通过调节谐振腔与反射壁之间的距离可以改变滤波谱线的带宽．利用时域有限差分法进行仿真分析，结果表明，该滤波器的工作频率在193．40THz附近，带宽小于5．9GHz，峰值透射率高达94％，工作区域长度仅有9μm．该器件可应用于密集波分复用系统．

英文摘要：

With the rapid development of wavelength division multiplexing technology, narrow bandpass filters have drawn widespread public attention. In this paper, a compact narrow bandpass filter based on two-dimensional photonic crystals is proposed. The transfer characteristics of the filter with a single mode resonator and two reflectors are analyzed by using coupled mode theory. Research results show that the bandwidth of the filter can be controlled by adjusting the distance between the resonator and the two reflectors, which can be applied to the realization of narrow bandpass filters, and even ultra-narrow bandpass filters. Based on the theoretical model mentioned above, we design a narrow bandpass filter based on two-dimensional photonic crystals, which is composed of silicon rods with square lattice in air. Two single mode waveguides are formed by removing two rows of rods. Meanwhile, a point cavity is formed by removing a dielectric column. In order to precisely control the phase change between the resonator and the two reflectors, a phase adjustment region is introduced. We study the transmission spectrum of the structure by the finite-difference time-domain （FDTD） method. We find that the bandwidth of the filter can be narrowed when the phase change between the resonator and the two reflectors satisfies the specific conditions, and the transmission ratio is still high as well. These are consistent with the theoretical analyses. But it is worth noting that there is a difference between the simulation result and theoretical result. This is because in the theoretical analysis, we consider that the propagation constants of the frequencies close to the central frequency are the same. In fact, the propagation constant increases with the increase of frequency, however, this does not affect the central frequency nor its transmission. The performance of the designed filter is analyzed by FDTD, showing that the working frequency is close to 193.40 THz, the bandwidth is smaller than 5.9 GHz, the peak transmittance is