An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile
Round 1
Reviewer 1 Report
Comments and Suggestions for AuthorsThis paper deals with a number of elementary problems in which the superposition of Cosine Beams is treated in geometrical and in paraxial approximation. The results are straightforward and do not present the significant novelty elements that are expected from a research paper. Consequently, I think the paper should be rejected from Photonics.
Nonetheless, the paper results could be useful in introductory courses on optics. Then, the paper could be submitted to a journal devoted to didactic subjects.
Author Response
Response to Reviewer 1 Comments
Point 1: This paper deals with a number of elementary problems in which the superposition of Cosine Beams is treated in geometrical and in paraxial approximation. The results are straightforward and do not present the significant novelty elements that are expected from a research paper. Consequently, I think the paper should be rejected from Photonics. Nonetheless, the paper results could be useful in introductory courses on optics. Then, the paper could be submitted to a journal devoted to didactic subjects.
Response 1: We are very thankful to the reviewer for his/her reading our manuscript with patience even though he/she believes that our work does not have sufficient novelty to publish in Photonics.
In this work, we attempted to explain structured laser beams with Dirac notation for the first time. To provide a clear-cut idea of the advantage and ease of Dirac notation for the explanation of structured beams to readers, we start our analysis with a simple 1D Cosine beam with supporting ray optics. The way we started our manuscript looks very simple for the pioneers in the fundamental optical research field, however, the basic level is necessary for the new researchers and for the people who work in the applied optics. Dirac notation looks simple but if the readers do not well understand then it is difficult to apply for the 3D structured beams so we started with the simple 1D beam.
As part of advanced-level research, we investigated the Talbot effect and self-imaging results from the superposition of 1D cosine beams to achieve a 3D optical needle structure. This is the first report and it can be well used in the applications of material science. 3D needles created via Cosine beams are very simple, compact, and cost-effective as compared with previous reports.
Further, our analysis looks straightforward due to Dirac notation however if use complete wave optics to explain the results it would be complex and difficult to understand. Our main motivation is to understand the propagation dynamics of structured beams with simple theoretical analysis. For that, we have used Dirac notation and ray Optics.
We have added amendments to the revised manuscript to highlight our work's novelty. Now we believe that the revised manuscript will convince the reviewer to accept my manuscript to publish in Photonics.
The novelty of our work is given by
- Introducing Dirac notation to the structured beam optics. This technique is simple and suitable for understanding the 3D structures of light.
- For the first time we report on the generation of an array of optical needles with tunable size by using Cosine beams.
- The superposition of 1D Cosine beams could realize the Talbot effect which is generally difficult to produce in light.
- Based on the proposed techniques we can produce high-power 3D structures even in femtosecond laser pulses.
- The generated 3D structures can be well utilized in material science.
Reviewer 2 Report
Comments and Suggestions for AuthorsThe style of presentation and the formulas are cumbersome. The article is difficult to understand.
Author Response
Response to Reviewer 2 Comments
Point 1: The style of presentation and the formulas are cumbersome. The article is difficult to understand.
Response 1: Dirac notation is a new approach that we used for the understanding of structured beam optics and we are very sorry for creating difficulty for the reviewer in reading and understanding our manuscript. We made necessary changes in the revised manuscript to easily understand the aim and novelty of our work. It is also noted that the formulae used in the manuscript are not changed because it is the main essence of the manuscript. We hope that the revised manuscript can be accepted for the publication in Photonics Journal.
The novelty of our work is given by
- Introducing Dirac notation to the structured beam optics. This technique is simple and suitable for understanding the 3D structures of light.
- For the first time we report on the generation of an array of optical needles with tunable size by using Cosine beams.
- The superposition of 1D Cosine beams could realize the Talbot effect which is generally difficult to produce in light.
- Based on the proposed techniques we can produce high-power 3D structures even in femtosecond laser pulses.
- The generated 3D structures can be well utilized in material science.
Reviewer 3 Report
Comments and Suggestions for AuthorsReview of the manuscript entitled ‘An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile’
Author explores the properties of the Cosine beam in a full-fledged way through Dirac notation and ray optics. For a trouble-free understanding of Cosine beams, author provides a detailed discussion on 1D Cosine beams, and then extended the explanations to 2D Cosine beams.
The manuscript is very interesting and sums up the properties of cos beam. A comparison is done with Bessel beam and Hermitian beam. The ray optics give to the manuscript a clear understanding of the Cos beam. The Dirac notation is quite new to describe the interaction of two beam generating the Cos beam.
Author Response
Response to Reviewer 3 Comments
Point 1 Author explores the properties of the Cosine beam in a full-fledged way through Dirac notation and ray optics. For a trouble-free understanding of Cosine beams, author provides a detailed discussion on 1D Cosine beams, and then extended the explanations to 2D Cosine beams. The manuscript is very interesting and sums up the properties of cos beam. A comparison is done with Bessel beam and Hermitian beam. The ray optics give to the manuscript a clear understanding of the Cos beam. The Dirac notation is quite new to describe the interaction of two beam generating the Cos beam.
Response 1: We thank you for carefully reading our manuscript and finding enough novelty for publishing in Photonics. We are very happy that each part of our manuscript is well analyzed by the reviewer while reading it and providing fruitful comments.
Round 2
Reviewer 1 Report
Comments and Suggestions for AuthorsI confirm my positive opinion about the didactic merits of the paper. If the Editors think the journal can publish didactic papers, I have no objections.
