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Journals >Chinese Optics Letters >Volume 17 >Issue 10 >Page 100601 > Article

Chinese Optics Letters
Vol. 17, Issue 10, 100601 (2019)

A compact complex-coefficient microwave photonic filter with continuous tunability

Jinwang Qian, Zhennan Zheng, Mingzheng Lei, Chunqi Song..., Shanguo Huang^* and Xinlu Gao^**|Show fewer author(s)

Author Affiliations

State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China

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DOI: 10.3788/COL201917.100601 Cite this Article Set citation alerts

Jinwang Qian, Zhennan Zheng, Mingzheng Lei, Chunqi Song, Shanguo Huang, Xinlu Gao, "A compact complex-coefficient microwave photonic filter with continuous tunability," Chin. Opt. Lett. 17, 100601 (2019) Copy Citation Text

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Abstract

A complex-coefficient microwave photonic filter with continuous tunability is proposed and demonstrated, which has a compact structure and stable performance without splitting the optical path and tuning the polarization state. By only controlling the DC biases of the modulator, the amplitudes and the phases of the filter taps can both be tuned. The phase difference between the two filter taps covers a full 360° range from 10 GHz to 32 GHz. Frequency responses of the proposed filter are measured within 10–20 GHz with different center frequencies.

[\begin{matrix} E_{x} \\ E_{y} \end{matrix}] = \frac{1}{\sqrt{2}} \exp (j ω_{c} t) [\begin{array}{l} \cos [β \cos (ω_{m} t + ϕ_{1}) + φ_{1} / 2] + \cos (φ_{2} / 2) \exp (j φ_{3}) \\ \cos [β \cos (ω_{m} t + ϕ_{2}) + φ_{4} / 2] + \cos (φ_{5} / 2) \exp (j φ_{6}) \end{array}],

(1)

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[\begin{matrix} E_{x} \\ E_{y} \end{matrix}] = \frac{1}{\sqrt{2}} [\begin{array}{l} - J_{1} (β) {\begin{cases} \exp [j (ω_{c} t + ω_{m} t + ϕ_{1})] + \exp [j (ω_{c} t - ω_{m} t - ϕ_{1})] \end{cases}} + \cos (φ_{2} / 2) \exp [j (ω_{c} t + φ_{3})] \\ - J_{1} (β) {\begin{cases} \exp [j (ω_{c} t + ω_{m} t + ϕ_{2})] + \exp [j (ω_{c} t - ω_{m} t - ϕ_{2})] \end{cases}} + \cos (φ_{5} / 2) \exp [j (ω_{c} t + φ_{6})] \end{array}],

(2)

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[\begin{matrix} E_{x} \\ E_{y} \end{matrix}] = \frac{1}{\sqrt{2}} [\begin{array}{l} - J_{1} (β) \exp [j (ω_{c} t + ω_{m} t + ϕ_{1})] + \cos (φ_{2} / 2) \exp [j (ω_{c} t + φ_{3}) \\ - J_{1} (β) \exp [j (ω_{c} t + ω_{m} t + ϕ_{2})] + \cos (φ_{5} / 2) \exp [j (ω_{c} t + φ_{6}) \end{array}] .

(3)

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i_{R F 1} (t) \propto J_{1} (β) \cos (φ_{2} / 2) \cos (ω_{m} t + ϕ_{1} - φ_{3}),

(4)

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i_{R F 2} (t) \propto J_{1} (β) \cos (φ_{5} / 2) \cos (ω_{m} t + ϕ_{2} - φ_{6}) .

(5)

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i (t) = i_{R F 1} (t) + i_{R F 2} (t) \propto \sum_{n = 1}^{2} a_{n} \cos [ω_{m} t + θ_{n} + ω_{m} (n - 1) T],

(6)

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H (ω_{m}) \propto a_{1} + a_{2} \exp (j ω_{m} T) \exp (j Δ θ),

(7)

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H^{'} (ω_{m}) \propto a_{1} + a_{2} \exp (j ω_{m} T),

(8)

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H (f) = H^{'} (f + Δ θ / 2 π T),

(9)

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References (24)

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Jinwang Qian, Zhennan Zheng, Mingzheng Lei, Chunqi Song, Shanguo Huang, Xinlu Gao, "A compact complex-coefficient microwave photonic filter with continuous tunability," Chin. Opt. Lett. 17, 100601 (2019)

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