Fast calculation method of complex space targets&#x2019; optical cross section: erratum

Yi Han; Huayan Sun; Yingchun Li; Huichao Guo

doi:10.1364/AO.53.001142

Abstract

We correct here three typographical errors in our article [Appl. Opt. 52, 4013 (2013)].

First, Eq. (3) in our work [1], which was given by

Φ_{d} = \int_{S_{0}} I_{r} d Ω = \int_{S_{0}} \int_{A} I_{r} d A \frac{d s}{π \cdot R_{1}^{2}},

should be

Φ_{d} = \int_{S_{0}} I_{r} d Ω = \int_{S_{0}} \int_{A} I_{r} d A \frac{d s}{R_{1}^{2}} .

Second, Eq. (4) in our work [1], which was given by

E_{d} = \frac{Φ_{d}}{S_{0}} = \frac{E_{sun}}{π R_{1}^{2}} \cdot (\int_{A} f_{r} (θ_{i}, θ_{r}) \cos θ_{i} \cos θ_{r} d A),

should be

E_{d} = \frac{Φ_{d}}{S_{0}} = \frac{E_{sun}}{R_{1}^{2}} \cdot (\int_{A} f_{r} (θ_{i}, θ_{r}) \cos θ_{i} \cos θ_{r} d A) .

Third, Eq. (6) in our work [1], which was given by

m = - 26.74 - 2.5 \cdot \lg (\frac{E_{d}}{E_{sun}}) = - 26.74 - 2.5 \cdot \lg (\frac{O C S}{π R^{2}}),

should be

m = - 26.74 - 2.5 \cdot \lg (\frac{E_{d}}{E_{sun}}) = - 26.74 - 2.5 \cdot \lg (\frac{O C S}{R^{2}}) .

The authors apologize for overlooking these errors in the original manuscript. Although these errors do not affect in any way other parts of the manuscript, and researchers who have basic knowledge in this area can spot the errors without much difficulty, we believe it is important to provide this erratum to avoid possible confusion.

Reference

1. Y. Han, H. Sun, Y. Li, and H. Guo, “Fast calculation method of complex space targets’ optical cross section,” Appl. Opt. 52, 4013–4019 (2013). [CrossRef]

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Equations (6)

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Φ_{d} = \int_{S_{0}} I_{r} d Ω = \int_{S_{0}} \int_{A} I_{r} d A \frac{d s}{π \cdot R_{1}^{2}},

Φ_{d} = \int_{S_{0}} I_{r} d Ω = \int_{S_{0}} \int_{A} I_{r} d A \frac{d s}{R_{1}^{2}} .

E_{d} = \frac{Φ_{d}}{S_{0}} = \frac{E_{sun}}{π R_{1}^{2}} \cdot (\int_{A} f_{r} (θ_{i}, θ_{r}) \cos θ_{i} \cos θ_{r} d A),

E_{d} = \frac{Φ_{d}}{S_{0}} = \frac{E_{sun}}{R_{1}^{2}} \cdot (\int_{A} f_{r} (θ_{i}, θ_{r}) \cos θ_{i} \cos θ_{r} d A) .

m = - 26.74 - 2.5 \cdot \lg (\frac{E_{d}}{E_{sun}}) = - 26.74 - 2.5 \cdot \lg (\frac{O C S}{π R^{2}}),

m = - 26.74 - 2.5 \cdot \lg (\frac{E_{d}}{E_{sun}}) = - 26.74 - 2.5 \cdot \lg (\frac{O C S}{R^{2}}) .

Fast calculation method of complex space targets’ optical cross section: erratum

Abstract

Reference

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Equations (6)

Applied Optics