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Journals >Chinese Optics Letters >Volume 15 >Issue 6 >Page 060605 > Article

Chinese Optics Letters
Vol. 15, Issue 6, 060605 (2017)

Study on a v-band signals and pulses generator with a tunable optical carrier to sideband ratio

Hongyao Chen¹, Tigang Ning^1、*, Jing Li¹, Li Pei¹, Jin Yuan¹, and Xiaodong Wen²

Author Affiliations

¹Key Lab of All Optical Network and Advanced Telecommunication Network of EMC, Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China

²College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

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DOI: 10.3788/COL201715.060605 Cite this Article Set citation alerts

Hongyao Chen, Tigang Ning, Jing Li, Li Pei, Jin Yuan, Xiaodong Wen. Study on a v-band signals and pulses generator with a tunable optical carrier to sideband ratio[J]. Chinese Optics Letters, 2017, 15(6): 060605 Copy Citation Text

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Abstract

This Letter demonstrates a filterless v-band signals and pulses generator scheme with a tunable optical carrier to sideband ratio (OCSR). Through complete theoretical analysis, the mathematical expression of the OCSR that contains the extinction ratio, phase modulation index, and bias angle is obtained. It is found that the OCSR has a wide tuning range, from 50 to

70 dB

. By careful adjustment, a 60 GHz millimeter-wave signal with the OCSR at 50.72 dB and the electrical spurious suppression ratio at 36.6 dB can be achieved. Moreover, the discussions of using optimum OCSR to generate a Nyquist pulse or triangular-shaped pulse are also presented in this Letter.

E_{in} (t) = E_{0} [\cos (ω_{0} t) + \cos (ω_{1} t)],

(1)

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E_{in} (t) = E_{0} [\cos (ω_{0} t) + \cos (ω_{0} t + Δ ω t)] .

(2)

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V_{MZ_a} (t) = V_{MZ} \cos (ω_{m} t + π),

(3)

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V_{MZ_b} (t) = V_{MZ} \cos (ω_{m} t) .

(4)

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E_{out} (t) = \frac{1}{\sqrt{2}} [E_{a} (t) + E_{b} (t) \exp (j π \frac{V_{bias_c}}{V_{π}})] = \frac{E_{in} (t)}{\sqrt{2}} [A_{0} J_{0} (β) + A_{1} \sum_{n = 1}^{\infty} 2 j^{n} J_{n} (β) \cos (n ω_{m} t)],

(5)

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A_{m} = {\begin{cases} (1 - 2 γ) [1 + \exp (j π \frac{V_{bias_c}}{V_{π}})], & k = 0, \\ [1 - γ - γ {(- 1)}^{n}] \cdot \exp (j π \frac{V_{bias_c}}{V_{π}}) + {(- 1)}^{n} [1 + γ + γ {(- 1)}^{n}], & k = 1, \end{cases}

(6)

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\begin{matrix} E_{out} (t) = \frac{E_{in} (t)}{\sqrt{2}} [A_{0} J_{0} (β) + A_{1} \sum_{n = 1}^{\infty} 2 j J_{n} (β) \cos (n ω_{m} t)] \\ = \frac{E_{0}}{\sqrt{2}} [A_{0} J_{0} (β) \cos (ω_{0} t) \\ + A_{0} J_{0} (β) \cos (ω_{0} t + Δ ω t) \\ + 2 j A_{1} J_{1} (β) \cos (ω_{m} t) \cos (ω_{0} t) \\ + 2 j A_{1} J_{1} \cos (ω_{m} t) \cos (ω_{0} t + Δ ω_{0} t)] \end{matrix}

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A_{k} = {\begin{cases} (1 - 2 γ) [1 + \exp (j π \frac{V_{bias_c}}{V_{π}})], & k = 0, \\ \exp (j π \frac{V_{bias_c}}{V_{π}}) - 1, & k = 1 . \end{cases}

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E_{out} (t) = D_{0} J_{1} (β) \cos (ω_{0} t - ω_{m} t) + [D_{1} J_{0} (β) - D_{2} J_{1} (β)] \cos (ω_{0} t) + [D_{1} J_{0} (β) - D_{2} J_{1} (β)] \cos (ω_{0} t + ω_{m} t) + D_{0} J_{1} (β) \cos (ω_{0} t + 2 ω_{m} t),

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D_{h} = {\begin{cases} \frac{E_{0}}{\sqrt{2}} {\sin (π \frac{V_{bias_c}}{V_{π}}) + j [\cos (π \frac{V_{bias_c}}{V_{π}}) - 1]}, & h = 0, \\ \frac{E_{0}}{\sqrt{2}} (1 - 2 γ) [1 + \cos (π \frac{V_{bias_c}}{V_{π}}) + j \sin (π \frac{V_{bias_c}}{V_{π}})], & h = 1, \\ \frac{E_{0}}{\sqrt{2}} [j - j \cos (π \frac{V_{bias_c}}{V_{π}}) + \sin (π \frac{V_{bias_c}}{V_{π}})], & h = 2. \end{cases}

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OCSR = 10 \log_{10} \frac{{| D_{1} J_{0} (β) - D_{2} J_{1} (β) |}^{2}}{{| D_{0} J_{1} (β) |}^{2}} = 10 \log_{10} {\frac{{(1 - 2 γ)}^{2} [1 - \frac{J_{1} (β)}{(1 - 2 γ) J_{0} (β)} \sin (θ) + \cos (θ)] J_{0} {(β)}^{2}}{J_{1} {(β)}^{2} [1 - \cos (θ)]} + \frac{[1 - \frac{(1 - 2 γ) J_{0} (β)}{J_{1} (β)} \sin (θ) - \cos (θ)] J_{1} {(β)}^{2}}{J_{1} {(β)}^{2} [1 - \cos (θ)]}},

(11)

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E_{out} (t) = D_{0} J_{1} (β) \cos (ω_{0} t - ω_{m} t) + D_{0} J_{1} (β) \cos (ω_{0} t + 2 ω_{m} t) .

(12)

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i_{3 ω_{m}} = \frac{1}{2} R {| D_{0} |}^{2} J_{1} {(β)}^{2} \cos (3 ω_{m}) t .

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References (19)

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Hongyao Chen, Tigang Ning, Jing Li, Li Pei, Jin Yuan, Xiaodong Wen. Study on a v-band signals and pulses generator with a tunable optical carrier to sideband ratio[J]. Chinese Optics Letters, 2017, 15(6): 060605

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