基于传输矩阵法,分析了串联双环谐振滤波器传输特性,推导出了通路和下话路的传输函数表达式及最佳耦合条件。在忽略损耗情况下,计算分析了耦合系数和微环半径对滤波特性的影响,并进行了参数优化。计算结果表明:当串联双环半径分别为40μm和50μm、微环与直波导耦合系数为0.2时,滤波器的自由光谱范围能够达到22 nm且3 dB带宽仅为0.27 nm,从而能够实现在50 GHZ间隔的密集波分复用系统中仅对某一特定波长进行滤波。
According to transmission matrix method, the transmission characteristics of series coupled dual mi-cro-ring resonator filter are analyzed. The transmission function formula,the best coupling conditions of channelsand drop channels are deduced. At the condition of neglecting loss, the influence of coupling coefficients and mi-cro-ring radius on filtering characteristics is calculated and analyzed. And parameters are optimized. The calcula-tion results show that when the radius are 40 μm and 50 μm, the coupling coefficient of micro-ring and line wave-guide is 0.2, the free spectral range of the filter is 22 nm and 3dB bandwidth is just 0.27 nm, therefore, only a spe-cial wavelength is filtered in dense wave division multiplex(DWDM) system with 50 GHZ internal.