Quantum Fluctuations in the Small Fabry–Perot Interferometer

Round 1

Reviewer 1 Report

The authors present a very comprehensive method of mathematically modeling and analyzing the quantum effects/fluctuations in the field spectra in both the interior and exterior of the small fabry perot interferometer. The work has significance in design of photonic crystal devices nano structured optical devices. The presentation of the results are clear and the presentation of the mathematical model and derivations are comprehensive leading the way for this paper to be a good reference for future related works. It would be helpful if the authors add some references that show related work on this paper. Other than this the paper only needs moderate editing on the English style and usage. Once this is done the paper is ready for publication in this special issue of Symmetry Journal.

Author Response

Dear Mr. Marcus Zhang and Reviewers,

First, we would like to thank you for considering our manuscript, sending it to review and extend our gratitude to the reviewers for their fair criticism and valuable suggestions. We agree with all the Reviewer's remarks and made additions and corrections in the manuscript following the reviewer’s notes. Below we comment changes made in the paper. We write notes of Referees in green and refer to numbers of references as they appear in the new version manuscript below. We provide the pdf file with the manuscript, where new additions are marked in blue.

Corrections in the text concerning the Reviewer 1 notes are in the introduction, they describe new references added in the text. The new abstract and the new conclusion section are written following the note of Reviewer 2.  

As reviewers suggest, we carefully pass the text and correct the spelling, gramma, style and the punctuation. We use the Grammarly software for the help. In the new text we do not mark in blue corrections concerning only English.

Answer to Reviewer 1

Reviewer #1 writes: “It would be helpful if the authors add some references that show related work on this paper.”

We thank reviewer 1 for finding our method comprehensive and results as significant and for the recommendation for publication after the necessary changes. In the replay to the Reviewer 1 note we add some new references and related comments to the paper. Namely, we add:

[18] on the noiseless amplification in the optical transistor based on quantum nonlinear FPI;

[25,26] on our works with solving nonlinear operator equations for future analysis of quantum nonlinear FPI;

[32,33] on results of other authors concerning the quantum properties of FPI;

[38-40], as an example of the quantum correction effect in dynamical (Hill) system

Comments to the new references are highlighted by blue color in the introduction.      

Answers to Reviewer 2

We thank reviewer 2 for good estimation of our paper and for the recommendation for publication after the necessary changes. We made the changes following recommendations of the reviewer 2

Reviewer #2 writes:

“The abstract should be rewritten to give insight in new results"  

We re-write the abstract and include the description of new results.

2.“Separate Discussion and Conclusion sections”

We separate Discussion and Conclusion sections

3. “In the and Conclusion section of, I suggest adding a list of the main findings of the used methods and results”

We describe the main findings, the used methods, and results in the new Conclusion section.

Following the recommendations of both Reviewers we carefully, line by line, pass the text and correct typos, the spelling, the style, and the punctuation using the Grammarly software for the help.

Author Response File: Author Response.pdf

Reviewer 2 Report

In this work, Fabry-Perot interferometer model is used as the quantum harmonic oscillator excited by the quantum stochastic force to study structures of spectra, where the small, of the size of order of the wavelength, interferometer with the main mode excited by a quantum field from a nano-LED or a laser are considered.  The author demonstrated that structures of spectra are different for the field, the photon number fluctuations inside the interferometer; for the transmitted, and the reflected fields. Also, they reported that asymmetries in spectra. Differences in the spectra are related to the colored (white) quantum noise inside (outside) the interferometer. Furthermore, the general formulas for the photon number fluctuation spectra inside the FPI and the field power fluctuation spectra outside the FPI are investigated; formulate the model for the FPI interacting with a quantum field and finding explicit expressions for the FPI spectra

The article is well-organized, while the included figures help the reader to follow and understand the flow of the information. Moreover, all the computations seem to be free of obvious numerical errors. All in all, I believe that the paper under consideration presents new aspects and results on the field of optical quantum. On this basis, I recommend its publication in Symmetry Journal after the following minor revisions:

• The abstract should be rewritten to give insight in new results
• Separate Discussion and Conclusion sections
• In the and Conclusion section of , I suggest adding a list of the main findings of the used methods and results

The authors are advised to scan the paper for typos and grammatical errors.

Author Response

Dear Mr. Marcus Zhang and Reviewers,

First, we would like to thank you for considering our manuscript, sending it to review and extend our gratitude to the reviewers for their fair criticism and valuable suggestions. We agree with all the Reviewer's remarks and made additions and corrections in the manuscript following the reviewer’s notes. Below we comment changes made in the paper. We write notes of Referees in green and refer to numbers of references as they appear in the new version manuscript below. We provide the pdf file with the manuscript, where new additions are marked in blue.

Corrections in the text concerning the Reviewer 1 notes are in the introduction, they describe new references added in the text. The new abstract and the new conclusion section are written following the note of Reviewer 2.  

As reviewers suggest, we carefully pass the text and correct the spelling, gramma, style and the punctuation. We use the Grammarly software for the help. In the new text we do not mark in blue corrections concerning only English.

Answer to Reviewer 1

Reviewer #1 writes: “It would be helpful if the authors add some references that show related work on this paper.”

We thank reviewer 1 for finding our method comprehensive and results as significant and for the recommendation for publication after the necessary changes. In the replay to the Reviewer 1 note we add some new references and related comments to the paper. Namely, we add:

[18] on the noiseless amplification in the optical transistor based on quantum nonlinear FPI;

[25,26] on our works with solving nonlinear operator equations for future analysis of quantum nonlinear FPI;

[32,33] on results of other authors concerning the quantum properties of FPI;

[38-40], as an example of the quantum correction effect in dynamical (Hill) system

Comments to the new references are highlighted by blue color in the introduction.   

 Answers to Reviewer 2

We thank reviewer 2 for good estimation of our paper and for the recommendation for publication after the necessary changes. We made the changes following recommendations of the reviewer 2

Reviewer #2 writes:

1. “The abstract should be rewritten to give insight in new results”

We re-write the abstract and include the description of new results.

2. “Separate Discussion and Conclusion sections”

We separate Discussion and Conclusion sections

3. “In the and Conclusion section of, I suggest adding a list of the main findings of the used methods and results”

We describe the main findings, the used methods, and results in the new Conclusion section.

Following the recommendations of both Reviewers we carefully, line by line, pass the text and correct typos, the spelling, the style, and the punctuation using the Grammarly software for the help.

Author Response File: Author Response.pdf