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给出了有损串联双微环谐振器的传输谱线和归一化延迟的解析表述,研究了耦合系数以及损耗对传输谱线和归一化延迟的影响。解析研究表明,在一定的耦合系数和损耗条件下,传输谱线和归一化延迟均出现双谐振峰的特征,但二者的归一化谐振频率并不重合。增大环-波导耦合系数(或减小环-环耦合系数),传输谱线和归一化延迟由非简并态演化为简并态,并且归一化延迟达到简并态时的环-波导耦合系数要大(或环-环耦合系数要小)。当损耗增大,传输谱线和归一化延迟也由非简并态向简并态逐渐演化。传输谱线的半峰全宽和归一化延迟3 dB带宽随着耦合系数或损耗的增大而增大。
The analytical expressions of the transmission line and the normalized delay, which are detrimental to the tandem micro-ring resonator, are given. The effects of the coupling coefficient and the loss on the transmission line and the normalized delay are also studied. Analytical studies show that the transmission spectra and the normalized delay both exhibit the characteristic of double resonance peak under a certain coupling coefficient and loss condition, but the normalized resonance frequencies of the two do not coincide. Increasing the ring-waveguide coupling coefficient (or reducing the ring-ring coupling coefficient), the transmission spectrum and the normalized delay evolve from a non-degenerate state to a degenerate state, and the normalized delay- Waveguide coupling coefficient should be large (or ring - ring coupling coefficient to be small). As the loss increases, the transmission line and the normalized delay gradually evolve from the non-degenerate to the degenerate. Full width at half maximum of transmission line and normalized delay 3 dB bandwidth increases with increasing coupling coefficient or loss.