Correction: Cooray et al. The Deep Physics Hidden within the Field Expressions of the Radiation Fields of Lightning Return Strokes. Atmosphere, 2016, 7, 21.

Vernon Cooray; Gerald Cooray

doi:10.3390/atmos7030041

The authors would like to correct the published article [1] as follows. Equations (14)–(17) are valid when

\cos θ = 0.

For the general case, the Equations should read:

E_{r a d} = \frac{\sin θ}{4 π ε_{o} c r} \frac{I_{0}}{[1 - \cos θ]} (\sin \frac{π c}{l} (t - r / c)) a_{θ} with δ^{'} = l (1 - \cos θ) / c for r / c < t < r / c + δ^{'}

(14)

E_{r a d} = \frac{\sin θ}{4 π ε_{o} c r} \frac{I_{0}}{[1 - \cos θ]} (\sin \frac{π c}{l} (t - r / c) - \sin \frac{π c}{l} (t - r / c - δ^{'})) a_{θ} for t > r / c + δ^{'}

(15)

S (θ, t) = \frac{i {(t - r / c)}^{2} u^{2} \sin^{2} θ}{{(4 π)}^{2} ε_{0} c^{3} r^{2}} \frac{1}{{[1 - \frac{u}{c} \cos θ]}^{2}} a_{r} with δ^{″} = l / u - l \cos θ / c for r / c < t < r / c + δ^{″}

(16)

S (θ, t) = \frac{u^{2} \sin^{2} θ}{{(4 π)}^{2} ε_{0} c^{3} r^{2}} {\frac{[i (t - r / c) - i (t - r / c - δ^{″})]}{{[1 - \frac{u}{c} \cos θ]}^{2}}}^{2} a_{r} for t > r / c + δ^{″}

(17)

Note that with respect to the geometry given in Figure 3 of the paper, the time is shifted by an amount equal to

l \cos θ

/2c. The authors would like to apologize for any inconvenience this may have caused to the readers.

Reference

Cooray, V.; Cooray, G. The deep physics hidden within the field expressions of the radiation fields of lightning return strokes. Atmosphere 2016, 7. [Google Scholar] [CrossRef]

© 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons by Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).

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