Abstract

In this erratum, we correct the corresponding results of our Letter [Opt. Lett. 46, 1884 (2021) [CrossRef]  ] due to the wrong impedance setting of the arbitrary waveform generator (AWG). The Letter still represents the significant advance despite the change of results.

© 2021 Optical Society of America

We were alerted to some errors due to 50Ω impedance setting of the arbitrary waveform generator (AWG). Because the electro-optical modulator (EOM) works in capacitor mode at low frequency, the impedance should be large and the corresponding impedance needs to be set to High-Z. The results have been remeasured and corrected as in Table 1.

Tables Icon

Table 1. Modulation Efficiency and Simulated Arm Loss with the different Top Gaps

In abstract of [1], “[a]n exceptional voltage-length product of 0.64 V·cm” has been corrected to 1.32 V·cm. In the second paragraph of [1], “a voltage length product as low as 0.64 V·cm” has been corrected to 1.32 V·cm. Table 1 in [1] has been replaced by Table 1. In the seventh paragraph of [1], “[t]he $\pi$-shift voltage is measured to reduce from 3.5 V to 1.6 V” has been corrected to 6.96 V to 3.3 V. “A high modulation efficiency is attained with a low 0.64 V·cm voltage-length product with 1.2 µm gap” has been corrected to 1.32 V·cm. Figure 4(a) as well as the caption [1] have been replaced by Fig. 1. In the eighth of paragraph of [1], “${V_\pi}$ is determined by observing the full sinusoidal waveform response on the oscilloscope, in this case to be around 1.15 volts.” has been corrected to 2.12 volts. In the final paragraph of [1], “we realized highly efficient electro-optical modulators with exceptional voltage-length product of 0.64 V·cm” has been corrected to 1.32 V·cm.

 figure: Fig. 1.

Fig. 1. (a) AC characterization of ${V_\pi}$. The ramp wave at a repetition rate of 10 kHz is applied, which is shown as a blue dashed line. By fine tuning the amplitude of input signal, the optical response become sinusoidal shown as blue solid line, marking the ${V_\pi}$ of 2.12 V.

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Despite the corrections, we believe the Letter still stands strong and represents a significant advance [2,3].

REFERENCES

1. M. Jin, J. Chen, Y. Sua, P. Kumar, and Y. Huang, Opt. Lett. 46, 1884 (2021). [CrossRef]  

2. C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018). [CrossRef]  

3. M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020). [CrossRef]  

References

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  1. M. Jin, J. Chen, Y. Sua, P. Kumar, and Y. Huang, Opt. Lett. 46, 1884 (2021).
    [Crossref]
  2. C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
    [Crossref]
  3. M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
    [Crossref]

2021 (1)

2020 (1)

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

2018 (1)

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Bertrand, M.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Cai, X.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Chandrasekhar, S.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Chen, H.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Chen, J.

Chen, L.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Chen, X.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

He, M.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Huang, Y.

Jian, J.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Jin, M.

Kumar, P.

Li, Z.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Liu, X.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Loncar, M.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Meng, X.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Pan, Y.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Shams-Ansari, A.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Sua, Y.

Wang, C.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Winzer, P.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Xiao, X.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Xu, M.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Yu, S.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Zhang, H.

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Zhang, M.

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Nat. Commun. (1)

M. Xu, M. He, H. Zhang, J. Jian, Y. Pan, X. Liu, L. Chen, X. Meng, H. Chen, Z. Li, X. Xiao, S. Yu, S. Yu, and X. Cai, Nat. Commun. 11, 3911 (2020).
[Crossref]

Nature (1)

C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Nature 562, 101 (2018).
[Crossref]

Opt. Lett. (1)

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Figures (1)

Fig. 1.
Fig. 1. (a) AC characterization of ${V_\pi}$. The ramp wave at a repetition rate of 10 kHz is applied, which is shown as a blue dashed line. By fine tuning the amplitude of input signal, the optical response become sinusoidal shown as blue solid line, marking the ${V_\pi}$ of 2.12 V.

Tables (1)

Tables Icon

Table 1. Modulation Efficiency and Simulated Arm Loss with the different Top Gaps