Optical pulse repetition rate multiplication based on series-coupled double-ring resonator

Xiaowei Dong; Mengzhen Xu; Qiangqiang Zhang

doi:10.1364/prj.4.000061

Journals >Photonics Research >Volume 4 >Issue 2 >Page 0061 > Article

Photonics Research
Vol. 4, Issue 2, 0061 (2016)

Optical pulse repetition rate multiplication based on series-coupled double-ring resonator

Xiaowei Dong^*, Mengzhen Xu, and Qiangqiang Zhang

Author Affiliations

College of Information Engineering, North China University of Technology, Beijing 100144, China

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DOI: 10.1364/prj.4.000061 Cite this Article Set citation alerts

Xiaowei Dong, Mengzhen Xu, Qiangqiang Zhang. Optical pulse repetition rate multiplication based on series-coupled double-ring resonator[J]. Photonics Research, 2016, 4(2): 0061 Copy Citation Text

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Abstract

In this paper, optical pulse repetition rate multiplication based on a series-coupled double-ring resonator is proposed. First, the spectral characteristic of the series-coupled double-ring resonator is simulated and the optimum coupling coefficients to achieve a periodic flat-top passband are obtained. Then, high-quality pulse repetition rate multiplication is realized by periodically filtering out spectral lines of the input pulse train. Different multiplication factors N = 2, 3, 4, 5 can be obtained by adjusting the ring radii. In addition, compared with a single-ring resonator, the multiplied output pulse train by a series-coupled double-ring resonator exhibits much better power uniformity.

Keywords

Coupled resonators Integrated optics devices Wavelength filtering devices

G = - j {\prod_{k = 1,2} [\begin{array}{l} \frac{τ_{k}^{1 / 2} \cdot e^{j β \cdot π R_{k}}}{K_{k}} - \frac{τ_{k}^{- 1 / 2} \cdot e^{- j β \cdot π R_{k}} \cdot T_{k}}{K_{k}} \\ \frac{τ_{k}^{1 / 2} \cdot e^{j β \cdot π R_{k}} \cdot T_{k}}{K_{k}} - \frac{τ_{k}^{- 1 / 2} \cdot e^{- j β \cdot π R_{k}}}{K_{k}} \end{array}]} \cdot [\begin{array}{l} \frac{1}{K_{0}} - \frac{T_{0}}{K_{0}} \\ \frac{T_{0}}{K_{0}} - \frac{1}{K_{0}} \end{array}],

(1)

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D (λ) = \frac{E_{4}}{E_{1}} = \frac{j K_{1} K_{2} K_{3} τ_{1}^{1 / 2} τ_{2}^{1 / 2} e^{j (ϕ_{1} + ϕ_{2}) / 2}}{1 - (T_{1} T_{2} τ_{1} e^{j ϕ_{1}} + T_{2} T_{3} τ_{2} e^{j ϕ_{2}}) + T_{1} T_{3} τ_{1} τ_{2} e^{j (ϕ_{1} + ϕ_{2})}} .

(2)

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D (t) = \sum_{p = - \infty}^{\infty} {F^{- 1} (D (λ)) |}_{t = p / FSR} \cdot δ (t - p / FSR) .

(3)

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O (t) = a_{in} (t) \otimes D (t) = \sum_{p = - \infty}^{\infty} \sum_{q = - \infty}^{\infty} {F^{- 1} (D (ω)) |}_{t = q T + p / FSR} \cdot a_{in} (t - q T - p / FSR) .

(4)

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Xiaowei Dong, Mengzhen Xu, Qiangqiang Zhang. Optical pulse repetition rate multiplication based on series-coupled double-ring resonator[J]. Photonics Research, 2016, 4(2): 0061

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