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Refraction near the horizon—an empirical approach. Part 1: terrestrial refraction of the dip: erratum

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Abstract

This erratum corrects Eq. (13a) in Appl. Opt. 55, 3104 (2016) [CrossRef]   and shows its effect on the proposed dip estimate functions Eqs. (21a)–(21d2). The differences are small, maximal up to a few percent and well within the original error limits. A new figure shows how the variability of the terrestrial refraction of the dip—as estimated with the proposed estimate functions—decreases with increasing observer heights.

© 2018 Optical Society of America

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Figures (1)

Fig. 5.
Fig. 5. (a) Absolute and (b) relative variability of the terrestrial refraction of the dip as a function of the height of the observer, H obs .

Equations (6)

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f ( P , T ) = ( P / P std ) ( T std / T ) 2 .
D a [ ] = 1.753 ( ± 0.004 ) H 1 / 2 .
D a [ ] = 1.779 ( ± 0.003 ) H 1 / 2 0.47 ( ± 0.05 ) Δ θ H 1 / 2 .
D a [ ] = D g [ ] 0.090 ( ± 0.014 ) sgn ( H + ) abs ( H + ) 0.65 ( ± 0.04 )
D a [ ] = D g [ ] 0.111 ( ± 0.016 ) sgn ( H + ) abs ( H + ) 0.58 ( ± 0.03 )
D a [ ] = D g [ ] { 0.95 ( ± 0.14 ) H 0.15 ( ± 0.05 ) + 2.30 ( ± 0.25 ) e v wind / 0.6 } .
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