The Evaluation of an Asymptotic Solution to the Sommerfeld Radiation Problem Using an Efficient Method for the Calculation of Sommerfeld Integrals in the Spectral Domain
Round 1
Reviewer 1 Report
Details of the review of your article are shown in the attached file.
Comments for author File: 
Comments.pdf
Author Response
Dear reviewer,
Thank you for the positive comments. We have updated our manuscript based on comments by other reviewers as well (minor revision).
Reviewer 2 Report
Point 1: Introduction section must add the previous main contribution of other research groups as well.
Point 2: Relation (1), please define kρ.
Point 3: A comparison of the obtained results with the ones from other works should be useful.
Point 4: A discussion about how the limitations of the method influence the results could be added.
Author Response
Dear reviewer,
Thank your for the constructive comments. Below you may find our answers, point by point to each issue you mentioned.
Point 1: Introduction section must add the previous main contribution of other research groups as well.
Answer to point 1: We have updated the introduction section to better provide a brief overview of major contributions by other prominent researchers and for this purpose we also added a few more references. However, since this is not a review paper, our focus was not to provide a thorough presentation of previously conducted work in the studied subject. Moreover, to our opinion, we have already cited, in the main body of the manuscript, related work.
Point 2: Relation (1), please define kρ.
An explanation for Kρ is added in the text below equation (4).
Point 3: A comparison of the obtained results with the ones from other works should be useful.
In Section 2 we compare our numerical results against previously published work of ours, as well as with Norton’s results. We also provide a comparison of our numerical method with the analytical expression for the LoS field, which of course is considered as totally accurate (since it is the analytical outcome of the solution of Maxwell’s equations for a Hertzian dipole in free space). Furthermore, in Section 3, we compare our asymptotic solution with a less accurate SPM-based method, as well as with the numerical integration results, which in section 2 we believe that we have provided evidence for being accurate. We believe that all the above are sufficient to validate the accuracy of the proposed methods.
Point 4: A discussion about how the limitations of the method influence the results could be added.
Related remarks for the limitations of our methods are added in the conclusion section.
