Statistical Properties of Partially Coherent Higher-Order Laguerre-Gaussian Power-Exponent Phase Vortex Beams
Round 1
Reviewer 1 Report
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Author Response
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Reviewer 2 Report
The authors theoretically study the tight focusing properties of partially coherent higher-order Laguerre-Gaussian power-exponent phase vortex beams based on Richards–Wolf diffraction vectorial theory. Intensity distribution, degree of polarization and coherence, and Stokes parameters are discussed in a good way and clearly gives an interpretation to their results with excellent figures. The only regret is that the integral results of Eqs. (10-13) are not given.
However, there are some notes such as grammar mistakes or misunderstanding to some phrases that should be modified in order to enhance the manuscript performance to meet the criteria of this journal some of them are listed here.
1. In line 21, the phrase “the distance between focal plane” should be specified;
2. In line 43 the word polarization in the phrase “or scalar polarization RSPEPV” should be removed.
3. In line 94 the simple “E” should be in bold because it is a vector here.
4. In line 96 the abbreviation CV dose not mentioned before in the text or should be specify here that is canonical vortex (CV) .
5. Inline 114 the simple w should be w2 in all case also in the second part of line 1 of equation.
6. In line 129 in the right-hand side the second part of the second row of the vector should be rewritten as “….
”. In addition, the “-“ sign should be added in the third row.
7. In line 149 there is a mention to “Appendix”, but it is not in the text.
8. The two sentences in lines 174-173 should be re written in correct way for discussing Fig. 3.
9. In line 230 the authors mention that in this chapter it should be change to ‘in this section”.
10. In lines 280 and 281 the phrase “other directions” should be more specific.
11. There are some language mistakes in the syntax so the authors should make a language review to the article. Some of them are listed here:
1) In line 36 the sentence should be written as Further, in RSPEPV beams, ….
2) In line 116 “ LGSM.” Should be written as “LGSM, respectively.”
3) In line 234 the word different is written two times.
Finally, I suggest that this manuscript is acceptable to be published in this journal with minor revision.
Author Response
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Reviewer 3 Report
In this manuscript, the authors proposed a kind of vortex beams, the partially coherent radially polarized (RP) Laguerre-Gaussian (LG) rotationally-symmetrical power-exponent phase vortex (RSPEPV) beams with LG-correlated Schell model (LGSM), and studied the statistical properties of such beams. There was little doubt in my mind that such beams have not discussed before yet, what is the novelty and advantage of such beams? This manuscript didn’t show this question clearly. Therefore, the authors should address this question detailedly before it can be considered for publication.
Author Response
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Reviewer 4 Report
The article “Statistical properties of partially coherent higher-order Laguerre-Gaussian power-exponent phase vortex beams” reports the partially coherent radially polarized (RP) Laguerre-Gaussian (LG) rotationally-symmetrical power-exponent phase vortex (RSPEPV) beams with LG-correlated Schell-model (LGSM). The authors introduce the theoretical for RP-LG-RSPEPV beams and the tight-focusing with LGSM. In addition, the relationship between the tight-focusing properties of RP-LG-RSPEPV beams with LGSM and its power exponent n, radial index p, topological charges l, the distance between focal plane and transport plane z were investigated. The LGRSPEPV beam shape can be controlled from multiple directions. The content present in this work are interesting, the manuscript is worthy of publication for Photonics. However, I do have the following comments to make the manuscript more satisfactory.
1. What is the advantages of the RP-LG-RSPEPV beams with LGSM in particle capture, optical tweezers?
2. In Fig.5, when the orders of LGSM p' is 0 and 1, with the increase of the spatial coherence length δ, and the light intensity is gradually reduced, but the p' is 2 and 3, the light intensity is gradually increases. What is the main reason for such the phenomenon?
3. The abstract and the last part of the introduction is too similar.
Author Response
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Round 2
Reviewer 3 Report
The authors have improved the manuscript greatly, however, there are still some clerical errors, e.g., the authors information of ref.14 is wrong. So, the proofreading is necessary before publication.
Author Response
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