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

The authors would like to correct the published article [1] as follows. Equations (14)–(17) are valid when $\cos \theta =0.$ For the general case, the Equations should read:

$$E_{rad}=\frac{\sin \theta }{4\pi {\epsilon }_{o}cr}\frac{I_0}{\left[1-\cos \theta \right]}\left(\sin \frac{\pi c}{l}(t-r/c)\right)a_{\mathsf{\theta }}\text{\hspace{0.17em}with\hspace{0.17em}}{\delta }^{\prime }=l(1-\cos \theta )/c\text{\hspace{0.17em}for\hspace{0.17em}}r/c<t<r/c+{\delta }^{\prime }$$

(14)

$$E_{rad}=\frac{\sin \theta }{4\pi {\epsilon }_{o}cr}\frac{I_0}{\left[1-\cos \theta \right]}\left(\sin \frac{\pi c}{l}(t-r/c)-\sin \frac{\pi c}{l}(t-r/c-{\delta }^{\prime })\right)a_{\mathsf{\theta }}\text{\hspace{0.17em}for\hspace{0.17em}}t>r/c+{\delta }^{\prime }$$

(15)

$$S(\theta ,t)=\frac{i{(t-r/c)}^2{u}^2{\sin }^2\theta }{{\left(4\pi \right)}^2{\epsilon }_0{c}^3{r}^2}\frac{1}{{\left[1-\frac{u}{c}\cos \theta \right]}^2}{a}_r\text{\hspace{0.17em}with\hspace{0.17em}}{\delta }^{″}=l/u-l\cos \theta /c\text{\hspace{0.17em}for\hspace{0.17em}}r/c<t<r/c+{\delta }^{″}$$

(16)

$$S(\theta ,t)=\frac{u^2{\sin }^2\theta }{{\left(4\pi \right)}^2{\epsilon }_0{c}^3{r}^2}{\frac{\left[i(t-r/c)-i(t-r/c-{\delta }^{″})\right]}{{\left[1-\frac{u}{c}\cos \theta \right]}^2}}^2{a}_r\text{\hspace{0.17em}for\hspace{0.17em}}t>r/c+{\delta }^{″}$$

(17)

Note that with respect to the geometry given in Figure 3 of the paper, the time is shifted by an amount equal to $l\cos \theta$/2c. The authors would like to apologize for any inconvenience this may have caused to the readers.