Average Intensity of a Laguerre—Gaussian Vector Vortex Beam through Inhomogeneous Atmospheric Turbulence

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

In this manuscript, the authors have presented the propagation properties of a partially coherent RPHLGV beam in in-homogeneous atmospheric turbulence. They showed by numerical results that the normalized initial profile with the concentric dark rings of partially coherent RPHLGV beam gradually evolves into the Gaussian-like beam profile in turbulence. Moreover, they also find that the partially coherent RPHLGV beam will evolve into a Gaussian-like beam when it propagates 5km for the beam is emitted at the zenith angle of p/20. They also demonstrated that the simulation results agree with theoretical predictions. I recommend this manuscript be published, but some minor points need to be addressed to improve the paper's quality:

1. The title is too long and a little attractive; the title must be attractive and short, simultaneously expressing the study's comprehensive meaning.

2.  I think the introduction needs to be enhanced in writing, with the addition of some details related to the study and some basic concepts about partially coherent beams.

 3.  The colored lines in Figure 1 should be clear.

 4.  Some details discussion needs to be added from Figs. 2 to 6 with more details and comparison between them with explaining the physical meaning.

 5.  The conclusion needs to be summarized. 

Comments on the Quality of English Language

This manuscript is well organized, and the English writing is understandable and clear. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

The manuscript delves into the evolutionary properties of a partially coherent radially polarized higher-order Laguerre–Gaussian vortex (RPHLGV) beam as it traverses inhomogeneous atmospheric turbulence. The authors have formulated analytical equations and corroborated them with simulation methodologies. This subject holds significance, particularly in the realms of free-space optical communications, lidar detection, remote sensing, and astronomical studies.

The authors address a gap in the literature by focusing on the propagation of a partially coherent RPHO-LGV beam through inhomogeneous atmospheric turbulence, a topic that has not been extensively reported.

Major Aspects to Address:

1. Overall clarity, coherence, and overall grammatical structure. The abstract, introduction, and conclusion sections warrant further refinement to enhance clarity and coherence. Some sentences seem disjointed, and there's redundancy in the information presented.  

2. Terminology. The manuscript frequently employs acronyms. The primary acronym, RPHLGV, is quite lengthy and distracting. A suggestion would be to abbreviate it as RPHO-LGV, where the LGV segment is more identifiable. Additionally, appending a list of acronyms at the manuscript's end would be beneficial.

3. For Figures 1 through 6, each figure should be accompanied by a descriptive sentence highlighting the main aspect the authors want the reader to observe in each figure.

4. Discussion Expansion. Address the study's limitations and any constraints on the conclusions. Discuss extreme cases, such as very high coherence versus very low coherence. Speculate on, or specify the disadvantages of having a very high topological charge, m. Further, elaborate on the practical implications, challenges, and potential solutions stemming from the findings. If speculations are used, make sure the reader is warned.

The manuscript provides insightful perspectives on the propagation of RPHO-LGV beams amidst atmospheric turbulence. With the proposed modifications, this research holds promise for a noteworthy contribution to the discipline. I advocate for the manuscript's publication after the incorporation of the recommended revisions.

Comments on the Quality of English Language

Please review the writing. There are broken sentences such as this one:

"This indicates that the partially coherent RPHLGV beam with small the radial index n has a stronger ability to resist atmospheric turbulence"

Author Response

Please see the attachment.

Author Response File: Author Response.pdf