General ring-resonator analysis and characterization by characteristic matrix
General ring-resonator analysis and characterization by characteristic matrix
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DOI：
10.1109/jlt.2004.838858
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发表时间：
2005-02
影响因子：
4.7
通讯作者：
Wei Chen-;Zhipeng Wang;Wenlu Chen;Yung-Jui Chen
中科院分区：
文献类型：
--
作者：
Wei Chen-;Zhipeng Wang;Wenlu Chen;Yung-Jui Chen
本文提出了一种分析环形谐振器的通用方法。该方法利用特征矩阵来表示相邻阶光路的传递函数之间的递归关系，从而表示总传递函数。该方法为梅森法则的一般表示提供了一种新的方法。同时，它大大简化了环形谐振腔情况下的表达式。该方法可用于合成任何环形谐振器器件。此外，由于在此过程中推导出了各个光路的传递函数，因此该公式可以应用于非相干干涉测量，并可以表征所制造的复杂环形谐振器电路的器件参数。
In this paper, a general analysis method for ring resonators is proposed. The method utilizes a characteristic matrix to express the recursive relationship between transfer functions of adjacent-order optical paths, and consequently, the total transfer function. The method provides a new way to express Mason's rule in general. At the same time, it greatly simplifies the expression in the ring-resonator case. The method can be used to synthesize any ring-resonator devices. In addition, as individual optical paths' transfer functions are derived in this process, the formulas can be applied to incoherent interferometric measurements and can characterize the device parameters of fabricated complex ring-resonator circuits.