Dear Dr. Mizonova, dear Dr. Bespalov,

First of all, I would like to thank you for choosing the journal Annales Geophysicae to publish the results of your work and for your response to the referees’ comments. The main review process is now complete. We received two reviews from highly qualified referees. Although the reviewers found considerable merit in your paper, they also identified some inaccuracies and asked for some additional information and clarifications of some statements. Therefore, now I invite you to consider carefully all comments and send us the revised version of the manuscript with colourful indication of the changes made. One referee and me will read the manuscript again.
Kindest regards

Yours cordially
D. Buresova

Dear Dr. Mizonova, dear Dr. Bespalov,

I appreciate your response to referees comments and the work you did when improving the manuscript. Recently the manuscript has undergone the second revision and the referee come back to us with some specific comments (please, see below). It would be desirable to emphasize/discuss in the article what new your results have brought in terms of theoretical and experimental research in comparison with already published results and theories.
Please, consider the comments and send us back your response and the revised version of the manuscript with indicated changes. At the current stage the manuscript still needs revision.

Kindest regards
Yours cordially
D. Buresova

Referee’s comments:
This study is about VLF propagation calculated within the full wave model. Authors adopts already well known technique (namely "two-point boundary-value MATLAB solver" by Kierzenka and Shampine (2001)) to quite model problem of VLF generation by plane currents. Although the topic is generally interesting, I did not find anything particular new in this study… basically Authors report that the two-point boundary-value Maltab solver works well, but this is not scientific result. To shape a scientifically sounding study, Authors would need either provide some comparison with spacecraft/ground-based measurements, or demonstrate new theoretical results (and describe in details what new has been done). The present form of this study does not contain such comparisons or new theories. Thus, I cannot recommend it for publication.