Performance study of optical triangular-shaped pulse generation with full duty cycle

Ze Hao; Jing Li; Chuangye Wang; Jin Yuan

doi:10.3788/COL201715.110601

Journals >Chinese Optics Letters >Volume 15 >Issue 11 >Page 110601 > Article

Chinese Optics Letters
Vol. 15, Issue 11, 110601 (2017)

Performance study of optical triangular-shaped pulse generation with full duty cycle

Ze Hao, Jing Li^*, Chuangye Wang, and Jin Yuan

Author Affiliations

Key Lab of All Optical Network & Advanced Telecommunication Network of EMC, Beijing Jiaotong University, Beijing 100044, China

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DOI: 10.3788/COL201715.110601 Cite this Article Set citation alerts

Ze Hao, Jing Li, Chuangye Wang, Jin Yuan. Performance study of optical triangular-shaped pulse generation with full duty cycle[J]. Chinese Optics Letters, 2017, 15(11): 110601 Copy Citation Text

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Abstract

A scheme of triangular-shaped pulses with full duty cycle generation is proposed and analyzed. Benefiting from the feature of orthogonal polarization, two approximate sinusoidal signals on different polarization states can be combined without inducing coherent interference. By tuning the time mismatching between the two signals, an approximately triangular-shaped profile can be obtained in the optical intensity. It is found that the modulation index

β

is no longer a fixed one, but it can be aligned within a proper range of 0.92 to 1.57. To evaluate the proposal, impacts of radio frequency voltage fluctuation, bias voltage drift, and time mismatching are discussed. Within the defined fitting error (

η \leq 3 %

), the tolerable range of the modulation index, time mismatching, and voltage have been found, which insures a simple operation in practice.

E_{A} (t) = E_{0} (t) \cos [\frac{π}{\sqrt{2} V_{π}} V_{RF} \cos (Ω t) + \frac{π}{4}] \exp (j \frac{π}{4}),

(1)

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I_{A} \propto E_{out} (t) E_{out}^{*} (t) = \frac{1}{2} {| E_{0} |}^{2} + \frac{1}{2} {| E_{0} |}^{2} \sin [β \cos (Ω t)],

(2)

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E_{D} (t) = {\hat{x} \frac{E_{0} (t)}{\sqrt{2}} \cos [\frac{π}{\sqrt{2} V_{π}} V_{RF} \cos (Ω t) + \frac{π}{4}] \exp (j \frac{π}{4}) + \hat{y} \frac{E_{0} (t - τ)}{\sqrt{2}} \cos {\frac{π}{\sqrt{2} V_{π}} V_{RF} \cos [Ω (t - τ)] + \frac{π}{4}} \exp (j \frac{π}{4})} .

(3)

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I_{D} \propto E_{D} (t) E_{D}^{*} (t) = \underset{I_{B}}{\underset{︸}{\frac{{| E_{0} |}^{2}}{4} + \frac{{| E_{0} |}^{2}}{4} \sin [β \cos (Ω t)]}} + \underset{I_{C}}{\underset{︸}{\frac{{| E_{0} |}^{2}}{4} + \frac{{| E_{0} |}^{2}}{4} \sin {β \cos [Ω (t - τ)]}}} .

(4)

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I_{D} \propto d c - \sum_{n = 1}^{\infty} {(- 1)}^{n} J_{2 n - 1} (β) \cos [\frac{(2 n - 1)}{2} Ω τ] \cos [(2 n - 1) Ω (t + \frac{τ}{2})] = d c - A_{1} \cos [Ω (t + \frac{τ}{2})] - A_{3} \cos [3 Ω (t + \frac{τ}{2})] - o (Ω),

(5)

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T (t) = d c - \cos ω t - \frac{1}{9} \cos 3 ω t - \dots - \frac{1}{{(2 k - 1)}^{2}} \cos [(2 k - 1) ω t] .

(6)

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A_{1} = 9 A_{3} .

(7)

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4 \cos^{2} (\frac{Ω τ}{2}) = \frac{27 J_{3} (β) - J_{1} (β)}{9 J_{3} (β)} .

(8)

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η = \sqrt{\frac{\sum_{k = 1}^{m} {(X_{k} - Y_{k})}^{2}}{\sum_{k = 1}^{m} (X_{k}^{2} + Y_{k}^{2})}} \times 100 %,

(9)

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Ze Hao, Jing Li, Chuangye Wang, Jin Yuan. Performance study of optical triangular-shaped pulse generation with full duty cycle[J]. Chinese Optics Letters, 2017, 15(11): 110601

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