Diffraction of the Field of a Grounded Cable on an Elongated Dielectric Spheroid in a Conducting Layer
Round 1
Reviewer 1 Report
In this paper, the authors solve the problem of diffraction of a slender non-conducting sphere in the magnetic field of a conducting layer by theoretical calculations. Overall, this is an interesting study and clear logic. But some revisions are still needed. Some of the comments and suggestions are as follows in detail:
1) l suggest the authors add line numbers when they re-submit it. lt will be easier for reviewers to make comments.
2) Suggestions to streamline the summary section.
3) The serial number of the reference in the text should be used as a superscript.
4) Materials and methods section, the necessary text should be added in the derivation of the formula.
5) Pay attention to the format specification. For example, the initial case issue and the first line indentation of the paragraph below formula (17) and in Figure 2, the figures on the figure are labeled to be consistent with the caption.
Author Response
Dear Mr. Reviewer, thank you so much for your comments on our article. The authors have tried to respond to your comments and have redone the "Conclusion" section on your recommendation. Sincerely, Prof. Yu. Kuzmin
Author Response File: 
Author Response.docx
Reviewer 2 Report
The submitted paper presents diffraction of the field of a grounded cable on an elongated dielectric spheroid in a conducting layer. Although the paper might have some novelties, some points need clarification:
1) why only 8 references ( you can add more and refer good books also)
2) is validation is possible ?
3) fig 2-4 can be plotted in singke graph with varing h and comparing them in a single graph.
4) give explaination why you selected particular value of h for plotting graphs.
Author Response
The submitted paper presents diffraction of the field of a grounded cable on an elongated dielectric spheroid in a conducting layer. Although the paper might have some novelties, some points need clarification:
1) why only 8 references ( you can add more and refer good books also)
We agree with the reviewer's comment and in the corrected version of the article we added three references to fundamental works in this field of knowledge: Grinberg G.A. [4], Koshlyakov N.S. et al. [5] andBrekhovskikh L.M. [6].
This increased the understanding of the mathematical calculations given in the article, since in [4, 5], the solution of the problem of the field of a horizontal dipole placed over a semiconducting medium using the Fourier-Bessel integral transformation was given. The corrected version of the article contains references to these works in terms of borrowed formulas for the components of the vector potential Ax and Az. In general, the problem solved in the article is not identical to the original problem of the horizontal dipole field. Our emitter is a grounded cable of finite length, the field of which is investigated in the work of the first author of the article KuzminYu.I. [2]. The field of this emitter at large distances can be represented as the sum of the fields of two point antiphase powered sources. This fact made it possible to represent the field in the conducting layer by the scalar potential U. Electromagnetic and acoustic fields in a layered medium are investigated in [6]. We used some of the ideas of this work to solve the problem of diffraction of the field of a grounded cable on a dielectric elongated spheroid in a conductive layer.
2) is validation is possible?
Theoretical results on the diffraction of a grounded cable field on a dielectric elongated spheroid in a conductive layer were confirmed experimentally first in a pool on a 1:10 model, and then on a life-size model on the offshore shelf. The results of these studies can be given in the following article.
3) fig 2-4 can be plotted in singke graph with varing h and comparing them in a single graph.
We remain committed to the split image of Fig. 2-4, since the signals in the maxima of the pass characteristics of Fig. 2 and 3, as well as Fig. 3 and 4 differ by an order of magnitude (about 10 times). Therefore, placing all the pass characteristics on one drawing is possible only on a logarithmic scale, which is not informative enough.
3) give explaination why you selected particular value of h for plotting graphs.
The choice of the depth of the conductive layer H is due to the solution of a specific application problem, and the choice of the height of the passage of the controlled object h above the bottom of the layer correspond to the most probable horizons of the movement of the controlled object.
As a result, we would like to express our deep gratitude to the reviewer for valuable comments that contribute to improving the quality of the manuscript of the article.
Author Response File: 
Author Response.pdf
Reviewer 3 Report
The authors are calculating the diffraction of the electro-magnetic field of a grounded cable on an elongated dielectric spheroid in a conductive layer in this paper by solving the Helmholtz equations for the vector potential by the method of integral Fourier-Bessel transformations, taking into account the boundary conditions at the bottom and surface of the conductive layer. They have also computed the field for horizontal and vertical dipoles in the conducting layer by the method of integral Fourier-Bessel transformations taking into account the boundary conditions at the bottom and surface of the conducting layer. The analysis is duly supported by Graphs of the flow characteristics of an elongated dielectric spheroid modeling. Authors have solved the Helmholtz equations using Fourier-Bessel integral transformations, which make it possible to quickly perform calculations with an accuracy acceptable for practice. The developed mathematical model by the authors makes it possible to calculate the flow characteristics of conducting and non-conducting bodies in the conducting layer .It also gives theoretical basis for the creation of various security systems.
Author Response
The authors are calculating the diffraction of the electro-magnetic field of a grounded cable on an elongated dielectric spheroid in a conductive layer in this paper by solving the Helmholtz equations for the vector potential by the method of integral Fourier-Bessel transformations, taking into account the boundary conditions at the bottom and surface of the conductive layer. They have also computed the field for horizontal and vertical dipoles in the conducting layer by the method of integral Fourier-Bessel transformations taking into account the boundary conditions at the bottom and surface of the conducting layer. The analysis is duly supported by Graphs of the flow characteristics of an elongated dielectric spheroid modeling. Authors have solved the Helmholtz equations using Fourier-Bessel integral transformations, which make it possible to quickly perform calculations with an accuracy acceptable for practice. The developed mathematical model by the authors makes it possible to calculate the flow characteristics of conducting and non-conducting bodies in the conducting layer .It also gives theoretical basis for the creation of various security systems.
The authors of the manuscript of the article express their deep gratitude to the reviewer for the positive review and note his high professional erudition.
Author Response File: Author Response.docx
Round 2
Reviewer 2 Report
All of the reviewers' comments were included in an updated version of the manuscript.
Author Response
I have finished the revision of the manuscript of the article taking into account your comments and the comments of the reviewers. As a result, the manuscript currently contains 4325 words: the paragraph "Practical implementation" and experimental data have been added, changes have been made to the Abstract, Introduction, Discussion, Conclusion, one link to the pathet has been added. I uploaded the answers to the reviewers via the link. I am sending you the corrected version of the manuscript by e-mail. Sincerely, Prof. Yuri Kuzmin. P.S. The changes made are marked in green.
Author Response File: Author Response.docx
