Oil-film extinction coefficient inversion based on thickness difference: erratum

Zhenduo Zhang; Wei Li; Zhanjun Ma; Shuang Dong; Ming Xie; Ying Li

doi:10.1364/OE.516386

Abstract

An erratum is presented to correct errors in Eqs. (2) and (3) in our previously published paper [Opt. Express 30(17), 30368 (2022). [CrossRef] ].

We present an erratum to correct Eqs. (2) and (3) of our previously published paper [1] in formula (2) :

^{\prime\prime} \Delta = 2{n_2}d\; \cos \theta = \frac{{2d}}{{\cos \theta }}k = \frac{{2\pi }}{\lambda }^{\prime\prime} {\textrm{should be revised as}} ^{\prime\prime}\left\{ {\begin{array}{{c}} {\Delta = 2{n_2}d\cos \theta }\\ {s = \frac{{2d}}{{\cos \theta }}}^{\prime\prime}\\ {k = \frac{{2\pi }}{\lambda }} \end{array}} \right..

In formula (3):

^{\prime\prime}\sqrt R = [{{r_{12}}} + {t_{12}}{r_{23}}{t_{21}}{e^{ik\Delta - as}}^{\prime\prime} {\textrm{should be revised as}}{} ^{\prime\prime}\sqrt R = {r_{12}} + {t_{12}}{r_{23}}{t_{21}}{e^{ik\Delta - as}}^{\prime\prime}.

Funding

Fundamental Research Funds for the Central Universities (3132022149); Liaoning Revitalization Talents Program (XLYC2001002); National Key Research and Development Program of China (2020YFE0201500).

Disclosures

The authors declare that there are no conflicts of interest related to this article.

References

1. Z. Zhang, W. Li, Z. Ma, et al., “Oil-film extinction coefficient inversion based on thickness difference,” Opt. Express 30(17), 30368–30378 (2022). [CrossRef]

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Equations (2)

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^{''} Δ = 2 n_{2} d \cos θ = \frac{2 d}{\cos θ} k = {\frac{2 π}{λ}}^{''} {should be revised as}^{''} {\begin{matrix} Δ = 2 n_{2} d \cos θ \\ {s = \frac{2 d}{\cos θ}}^{''} \\ k = \frac{2 π}{λ} \end{matrix} .

^{''} \sqrt{R} = [r_{12} + t_{12} r_{23} t_{21} {e^{i k Δ - a s}}^{''} should be revised as^{''} \sqrt{R} = r_{12} + t_{12} r_{23} t_{21} {e^{i k Δ - a s}}^{''} .