Embedded nanometer position tracking based on enhanced phasor analysis: erratum

Hongqiang Ma; Yang Liu

doi:10.1364/OL.440217

Abstract

We present an erratum to our Letter [Opt. Lett. 46, 3825 (2021) [CrossRef] ]. This erratum corrects an error in Eq. (2). All the simulations and experiments in the original Letter were performed using the correct equation, and therefore, this correction does not affect the results and conclusions of the original Letter.

There was an error that occurred while we writing Eq. (2) in our original Letter [1]. The correct equation is

\left\{{\begin{split}&{c = \sum\limits_{{I_j} \gt b} {({I_j} - b)j} \bigg/\sum\limits_{{I_j} \gt b} {({I_j} - b)}}\\&{\sigma = \sum\limits_{{I_j} \gt b} {({I_j} - b)| {j - c}|} \bigg/\sum\limits_{{I_j} \gt b} {({I_j} - b)}}\end{split}} \right..

The correct equation was used in all the simulations and experiments in the original Letter. Therefore, this correction does not influence the results and conclusions of the original Letter.

Funding

National Institutes of Health (R01CA232593, R01CA254112, R33CA225494)

REFERENCE

1. H. Ma and Y. Liu, Opt. Lett. 46, 3825 (2021). [CrossRef]

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Equations (1)

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{\begin{aligned} c = \sum_{I_{j} > b} (I_{j} - b) j / \sum_{I_{j} > b} (I_{j} - b) \\ σ = \sum_{I_{j} > b} (I_{j} - b) | j - c | / \sum_{I_{j} > b} (I_{j} - b) \end{aligned} .

Abstract

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Equations (1)

Optics Letters