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Strategic measurement for the axis-orientation and electro-optic coefficient of BaTiO3 crystal thin-film grown on MgO crystal with polarization modulations: erratum

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Abstract

In this erratum the set of Eqs. (2a) and (2b), Eqs. (4) and (5), and the corresponding figure and values in the text of Opt. Lett. 44, 4215 (2019) [CrossRef]   have been updated.

© 2020 Optical Society of America

 figure: Fig. 1.

Fig. 1. Simulations for the $b_{eo}$ and $r_{51}$ solutions of ${\rm BaTiO}_{3}$ crystal thin film and the experimental results of $V_{\pi}$, $V_{2\pi}$, and $V_{3\pi}$, and $V_{\rm act}=-1.0\,\,{\rm V}$.

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In [1], Eqs. 2a and 2b are incorrect. The corrected versions are shown below:
$$\delta {n_e} = \frac{{n_o^3r_{51}^2{{\left( {{\Gamma _{2D}}\frac{{{V_d}}}{{{G_x}}}} \right)}^2}}}{{2\left(\frac{1}{{n_e^2}} - \frac{1}{{n_o^2}}\right)}},$$
$$\delta {n_o} = - \frac{{n_e^3r_{51}^2{{\left( {{\Gamma _{2D}}\frac{{{V_d}}}{{{G_x}}}} \right)}^2}}}{{2\left(\frac{1}{{n_e^2}} - \frac{1}{{n_o^2}}\right)}}.$$

Similarly, Eqs. (4) and (5) in [1] are corrected below:

$$r_{51}=\left(\frac{m\lambda}{L}\cdot\frac{\frac{1}{n_e^2}-\frac{1}{n_o^3}}{n_e^3+n_o^3}\right)^{1/2}\cdot\left(\frac{G_x}{V_{m \pi}\cdot\Gamma_{2D}}\right)\!,$$
$$(V_\pi)^2L=\frac{\lambda\left(\frac{1}{n_e^2}-\frac{1}{n_o^2}\right)}{n_e^3+n_o^3}\cdot{\left(\frac{G_x}{r_{51}\Gamma_{2D}}\right)}^{2}.$$

Figure 6 from [1] is also corrected here (see Fig. 1). In the abstract, “606 pm/V” should be “429 pm/V,” and “$68\,\,({\rm V}_{2}\cdot{\rm mm})$” should be “$13.5\,\,({\rm V}_{2}\cdot{\rm cm})$.” In the first paragraph of the left column in page 4218, “606” on the first line and the last line should be “429.” In the second paragraph of the left column in page 4218, Ref. [5] on the third line should be [15]; “$67.84\,\,({\rm V}_{2}\cdot{\rm mm})$” on the sixth line should be “$13.5\,\,({\rm V}_{2}\cdot{\rm cm})$,” and “$1.36\,\,({\rm V}\cdot{\rm cm})$” on the eighth line should be “$2.70\,\,({\rm V}\cdot{\rm cm})$”.

Reference

1. M. X. Luo, D. G. Sun, N. Sun, Y. Hu, K. P. Zhang, D. S. Wang, Y. Li, B. Xing, Y. M. Xu, and D. Wu, Opt. Lett. 44, 4215 (2019). [CrossRef]  

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Figures (1)

Fig. 1.
Fig. 1. Simulations for the $b_{eo}$ and $r_{51}$ solutions of ${\rm BaTiO}_{3}$ crystal thin film and the experimental results of $V_{\pi}$, $V_{2\pi}$, and $V_{3\pi}$, and $V_{\rm act}=-1.0\,\,{\rm V}$.

Equations (4)

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δ n e = n o 3 r 51 2 ( Γ 2 D V d G x ) 2 2 ( 1 n e 2 1 n o 2 ) ,
δ n o = n e 3 r 51 2 ( Γ 2 D V d G x ) 2 2 ( 1 n e 2 1 n o 2 ) .
r 51 = ( m λ L 1 n e 2 1 n o 3 n e 3 + n o 3 ) 1 / 2 ( G x V m π Γ 2 D ) ,
( V π ) 2 L = λ ( 1 n e 2 1 n o 2 ) n e 3 + n o 3 ( G x r 51 Γ 2 D ) 2 .
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