In this paper, modelling of an asymmetrical micro-ring resonator and its performance as an optical filter and optical sensor is analysed. Quadruple asymmetrical optical micro-ring resonator (QAOMRR) is mathematically modelled in Z-domain using delay line signal processing technique. The transmittance of the configuration is calculated using signal flow graph method. Vernier principle method is applied to achieve larger free spectral range (FSR). Also, the proposed QAOMRR in silicon-on-insulator (SOI) platform is used for biochemical sensing. The proposed QAOMRR offers a FSR of 3.155 THZ and Q- factor of 3875 as well as provide significant shift in resonant wavelength whenever any different analyte is present in biomolecules. Field investigation of the proposed QAOMRR is done using Finite Difference Time Domain (FDTD) method. The directional couplers are designed using FDTD simulations. The proposed method will be extremely useful for modelling analysis and design of different micro optical asymmetrical ring resonator configurations.

中文翻译：

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用于生物传感应用的四重非对称光学微环谐振器的建模与分析

在本文中，分析了非对称微环谐振器的建模及其作为光学滤波器和光学传感器的性能。四重非对称光学微环谐振器 (QAOMRR) 使用延迟线信号处理技术在 Z 域中进行数学建模。使用信号流图方法计算配置的透射率。游标原理方法用于实现更大的自由光谱范围（FSR）。此外，绝缘体上硅 (SOI) 平台中提议的 QAOMRR 用于生化传感。提议的 QAOMRR 提供 3.155 THZ 的 FSR 和 3875 的 Q 因子，并且只要生物分子中存在任何不同的分析物，就会提供谐振波长的显着偏移。所提议的 QAOMRR 的现场调查是使用有限差分时域 (FDTD) 方法完成的。定向耦合器是使用 FDTD 模拟设计的。所提出的方法对于不同微型光学非对称环形谐振器配置的建模分析和设计将非常有用。