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Journals >Photonics Research >Volume 4 >Issue 1 >Page 0021 > Article

Photonics Research
Vol. 4, Issue 1, 0021 (2016)

4 × 4 nonblocking optical switch fabric based on cascaded multimode interferometers

Zuxiang Li, Linjie Zhou^*, Liangjun Lu, Shuoyi Zhao, Dong Li, and Jianping Chen

Author Affiliations

State Key Laboratory of Advanced Optical Communication Systems and Networks, Department of ElectronicEngineering, Shanghai Jiao Tong University, Shanghai 200240, China

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DOI: 10.1364/prj.4.000021 Cite this Article Set citation alerts

Zuxiang Li, Linjie Zhou, Liangjun Lu, Shuoyi Zhao, Dong Li, Jianping Chen. 4 × 4 nonblocking optical switch fabric based on cascaded multimode interferometers[J]. Photonics Research, 2016, 4(1): 0021 Copy Citation Text

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Abstract

We experimentally demonstrate a 4 × 4 nonblocking silicon thermo-optic (TO) switch fabric consisting of three stages of tunable generalized Mach–Zehnder interferometers. All 24 routing states for nonblocking switching are characterized. The device’s footprint is 4.6 mm × 1.0 mm. Measurements show that the worst cross talk of all switching states is ?7.2 dB. The on-chip insertion loss is in the range of 3.7–13.1 dB. The average TO switching power consumption is 104.8 mW.

Keywords

Integrated optics Integrated optics devices Optical switching devices

T_{switch 4 \times 4} = T_{GM 2} \cdot T_{GM 3} \cdot T_{GM 4} .

(1)

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T_{GMn} = T^{MMI n \times n} \cdot S_{psn} \cdot T^{MMI n \times n} .

(2)

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S_{psn} = (\begin{matrix} e^{i φ_{1}} & 0 & 0 & 0 \\ 0 & e^{i φ_{2}} & 0 & 0 \\ 0 & 0 & ⋱ & 0 \\ 0 & 0 & 0 & e^{i φ_{n}} \end{matrix}) .

(3)

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T^{MMI 4 \times 4} = \frac{1}{2} (\begin{matrix} 1 & - e^{- i \frac{π}{4}} & e^{- i \frac{π}{4}} & 1 \\ - e^{- i \frac{π}{4}} & 1 & 1 & e^{- i \frac{π}{4}} \\ e^{i \frac{π}{4}} & 1 & 1 & - e^{- i \frac{π}{4}} \\ 1 & e^{i \frac{π}{4}} & - e^{i \frac{π}{4}} & 1 \end{matrix}),

(4)

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T^{MMI 3 \times 3} = \frac{1}{\sqrt{3}} (\begin{matrix} e^{- i \frac{π}{3}} & e^{i \frac{2 π}{3}} & e^{i \frac{π}{3}} & 0 \\ e^{i \frac{2 π}{3}} & e^{i \frac{π}{3}} & e^{i \frac{2 π}{3}} & 0 \\ e^{i \frac{π}{3}} & e^{i \frac{2 π}{3}} & e^{- i \frac{π}{3}} & 0 \\ 0 & 0 & 0 & 1 \end{matrix}),

(5)

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T^{MMI 2 \times 2} = \frac{1}{\sqrt{2}} (\begin{matrix} 1 & e^{i \frac{π}{2}} & 0 & 0 \\ e^{i \frac{π}{2}} & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{matrix}) .

(6)

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T_{a, b}^{MMI 4 \times 4} = \frac{1}{2} [1 - σ_{M}^{4 \times 4} rand ()] \exp {i [ψ_{a, b}^{4 \times 4} + σ_{M}^{4 \times 4} (rand () - \frac{1}{2}) π]},

(7)

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T_{a, b}^{MMI 3 \times 3} = \frac{1}{\sqrt{3}} [1 - σ_{M}^{3 \times 3} rand ()] \exp {i [ψ_{a, b}^{3 \times 3} + σ_{M}^{3 \times 3} (rand () - \frac{1}{2}) π]},

(8)

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T_{a, b}^{MMI 2 \times 2} = \frac{1}{\sqrt{2}} [1 - σ_{M}^{2 \times 2} rand ()] \exp {i [ψ_{a, b}^{2 \times 2} + σ_{M}^{2 \times 2} (rand () - \frac{1}{2}) π]},

(9)

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Zuxiang Li, Linjie Zhou, Liangjun Lu, Shuoyi Zhao, Dong Li, Jianping Chen. 4 × 4 nonblocking optical switch fabric based on cascaded multimode interferometers[J]. Photonics Research, 2016, 4(1): 0021

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