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Novel formulas of the transfer functions and the amplitude coupling ratios are presented for characteristic analysis and parameter optimisation of a 1×16 microring resonant wavelength multi-/demultiplexer with triple vertically coupled rings in every filter element. This device can demultiplex 16 different wavelengths around the central wavelength of 1550 nm with the wavelength spacing of 0.8 nm. Simulation shows that by properly selecting the amplitude coupling ratios, the box-like flat spectral response can be formed and the crosstalk can be greatly reduced. The simulated results of the presented device are as follows: the 3 dB bandwidth is about 0.23 nm, the insertion loss is <0.7 dB and the crosstalk is below −50 dB for every vertical output channel. The birefringence caused by the polarisation dependence is about 1.7×10−4, which results in the wavelength shift of about 0.17 nm.
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Ma et al. (2006) studied this question.
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