Ghost imaging through scattering medium by utilizing scattered light: publisher&#x2019;s note

Li-Xing Lin; Jie Cao; Jie Cao; Jie Cao; Dong Zhou; Huan Cui; Qun Hao; Qun Hao

doi:10.1364/OE.460963

Abstract

This publisher’s note contains a correction to [Opt. Express 30(7), 11243 (2022). [CrossRef] ]. The article was corrected online on 8 June 2022.

In [1] an error occurred in Eq. (15). The result of Eq. (15) should be $\Psi \textrm{S} = {\textrm{M}^\alpha }.\ast \textrm{X} + {\textrm{F}_{\textrm{sca}}}.\ast \textrm{X}$. The correction is as follows: In section 2.2 Theoretical analysis of the proposed method under CSGI reconstruction algorithm

“… and we obtain a superimposed image of the object and the scattering medium:

(15)$$\begin{array}{{l}} {\begin{array}{{cc}} {\mathop {\min }\limits_\textrm{S} {{||\textrm{S} ||}_0}}&{\textrm{subject}\begin{array}{*{20}{c}} {\textrm{to}}&{||{{\textrm{B}_{\det }} - {\textrm{I}_{\textrm{mea}}}\Psi \textrm{S}} ||_2^2 \le t,} \end{array}} \end{array}}\\ {\begin{array}{*{20}{c}} { \to \Psi \textrm{S} = {\textrm{M}^\alpha }.\ast \textrm{X} + {\textrm{F}_{\textrm{sca}}}.\ast \textrm{X}} \end{array}} \end{array}$$

…”

Funding

Beijing Municipal Natural Science Foundation (4222017); Funding of Foundation Enhancement Program (2019-JCJQ-JJ-273); National Natural Science Foundation of China (61871031, 61875012, 61905014).

Disclosures

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

References

1. L. X. Lin, J. Cao, D. Zhou, H. Cui, and Q. Hao, “Ghost imaging through scattering medium by utilizing scattered light,” Opt. Express 30(7), 11243–11253 (2022). [CrossRef]

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Equations (1)

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\begin{array}{l} \begin{array}{cc} min_{S} {| | S | |}_{0} & subject \begin{matrix} to & | | B_{det} - I_{mea} Ψ S | |_{2}^{2} \leq t, \end{matrix} \end{array} \\ \begin{matrix} \to Ψ S = M^{α} . * X + F_{sca} . * X \end{matrix} \end{array}

Ghost imaging through scattering medium by utilizing scattered light: publisher’s note