光子学报, 2014, 43 (3): 0313003, 网络出版: 2014-04-09   

串联耦合切比雪夫微环滤波器的设计

Design of Series-Coupled Chebyshev Microring Filters
作者单位
北方工业大学 信息工程学院,北京 100144
摘要
基于电路的设计方法,把N阶串联耦合微环谐振滤波器等价成为一个基带LC阶梯网络,通过求解LC阶梯网络的元件参量,求出微环滤波器的耦合系数.在此基础上设计出具有切比雪夫响应的微环滤波器,并与传统耦合模式理论方法和理想的切比雪夫响应进行比较,证明了这种方法的可靠性,最后讨论了耦合系数和环数对切比雪夫微环滤波器输出特性的影响.数值模拟表明,耦合系数的偏差率越大,通带的平坦性越差;耦合系数的值增大,通带的带宽加宽;当环数增加时,过渡带衰减速度变快,通带形状更接近方形.
Abstract
Based on the method of the circuit, N-order series-coupled microring resonator filters was equivalent to a baseband LC ladder network. By solving the element parameters of LC ladder network, the coupling coefficients of microring filters can be obtained. Using this method, microring filters with Chebyshev response were designed. To prove the reliability of this method, it was compared with the traditional coupled mode theory method and the ideal Chebyshev response. Finally, the effects of coupling coefficients and the ring number on the output characteristics of Chebyshev microring filters were discussed. Numerical simulation indicated that the passband flatness was worsened with the deviation of coupling coefficients increasing, and at the same time, the bandwidth of the passband would increase with the coupling coefficients. And a square passband shape was achieved for the larger ring number and the faster transition attenuation.

刘文楷, 赵冉月, 董小伟. 串联耦合切比雪夫微环滤波器的设计[J]. 光子学报, 2014, 43(3): 0313003. LIU Wen-kai, ZHAO Ran-yue, DONG Xiao-wei. Design of Series-Coupled Chebyshev Microring Filters[J]. ACTA PHOTONICA SINICA, 2014, 43(3): 0313003.

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