Circuit-based method for synthesizing serially coupled microring filters

Circuit-based method for synthesizing serially coupled microring filters
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DOI:
10.1109/jlt.2006.875951
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发表时间:
2006-07
影响因子:
4.7
通讯作者:
V. Van
V. Van
中科院分区:
工程技术2区
文献类型:
--
作者:
V. Van

文献摘要

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本文提出了一种由N个串联微带谐振器构成的微带带通滤波器的综合方法。该方法是基于减少一个链的N个串联耦合微环的等效原型基带LC梯形网络。然后可以应用标准模拟滤波器合成技术来实现期望的滤波器传递函数。该方法在窄带近似下是有效的,可用于合成具有分插或全通结构的耦合谐振器的幅度和相位滤波器。所提出的基于电路的方法的鲁棒性将通过两个例子来证明:第一个是过渡切比雪夫-贝塞尔滤波器的设计,说明了操纵滤波器极点以实现所需幅度和相位响应的有用技术;第二个例子是N阶最大平坦延迟全通滤波器的合成。所提出的方法也可以应用到其他类型的串联耦合谐振器,如法布里-珀罗腔和光子晶体纳米腔,探索新的振幅和相位滤波器的应用。
A method for synthesizing bandpass microring filters constructed of N serially coupled microring resonators is presented. The approach is based on the reduction of a chain of N serially coupled microrings to an equivalent prototype baseband LC ladder network. Standard analog-filter-synthesis techniques can then be applied to realize a desired filter transfer function. The proposed method is valid in the narrowband approximation and can be used to synthesize both amplitude and phase filters with the coupled resonators in either the add-drop or allpass configuration. The robustness of the proposed circuit-based method will be demonstrated by two examples: The first is the design of a transitional Chebyshev-Bessel filter, illustrating the useful technique of manipulating filter poles to achieve desired amplitude and phase responses; the second example is the synthesis of an Nth-order maximally flat delay allpass filter. The proposed method can also be applied to other types of serially coupled resonators such as Fabry-Perot cavities and photonic crystal nanocavities to explore novel amplitude and phase filter applications.