A New Lattice Boltzmann Scheme for Photonic Bandgap and Defect Mode Simulation in One-Dimensional Plasma Photonic Crystals

Round 1

Reviewer 1 Report

 

The manuscript by Ma et al. proposed and implemented a novel LBM scheme with a pseudo equilibrium potential to simulate the electromagnetic wave propagation in one-dimensional (1D) plasma photonic crystals. This numerical scheme extends the applicability of the LBM in the field of computational electrodynamics, and would be of interest to the readership of Photonics. I recommend its publication. Following are some issues for the authors to consider:

1) Could the authors discuss further about the limitations of the new model?

2) What are the values of La and Lb in section 3.1?

3) In sections 3.3 and 3.4, it would be helpful if previous simulation results of the defect modes can be compared with the present work. For instance, the properties of the defect modes in 1D lossy photonic crystals (DOI: 10.1080/09205071.2013.843475), and the sharp angular defect mode in one-dimensional photonic crystals (DOI: 10.1364/OL.29.000192) etc.

Author Response

Point 1:  Could the authors discuss further about the limitations of the new model? 

Response 1: Implemented. We have dicussed the limiatation of the new mode, please see Line: 196-199.

 

Point 2:  What are the values of La and Lb in section 3.1? 

Response 2: Implemented. We have added the values of La and Lb, please see Line: 234.

 

Point 3:  In sections 3.3 and 3.4, it would be helpful if previous simulation results of the defect modes can be compared with the present work. For instance, the properties of the defect modes in 1D lossy photonic crystals (DOI: 10.1080/09205071.2013.843475), and the sharp angular defect mode in one-dimensional photonic crystals (DOI: 10.1364/OL.29.000192) etc. 

Response 3: Implementd. We have added thesearticles, please see Line: 333-335.

Reviewer 2 Report

Journal: Photonics  

Manuscript Number: photonics-1716272

Title: A New Lattice Boltzmann Scheme for Photonic Band Gap and 2 Defect Mode Simulation in One-dimensional Plasma Photonic 3 Crystals    

Article Type: Research Article

 

The authors proposed lattice Boltzmann method (LBM) with a pseudo equilibrium potential for electromagnetic wave propagation in a plasma photonic crystal. Based on LBM, the authors investigated the effects of thickness and the dielectric constant of the defect layer on the wave propagation and the defect modes of a plasma photonic crystal. They expect the approach can assist in designing narrowband filters.

The paper is interesting paper. The introduction section covers the main idea and literature review in an acceptable manner. The derivation seems reasonable. The figures are clear. The discussion of figures is obvious and enough. Despite that, there is still a small area to improve. I have some minor corrections. My comments are as follows:

 

My comments:

1-      There are some few typos. I give some examples: a) “the EM responses of on plasma media using various numerical” should be “the EM responses of plasma media using various numerical”.         b) “part could easily implement with memory swap function” should be “part could easily implement with a memory swap function”.      c) “Chen et al. [23] implemented a LBM scheme” should be “Chen et al.[23] implemented an LBM scheme”. These typos were found in the introduction section. I advise the authors to go through the whole manuscript and correct all the typos.

2-      The authors give numbers to each group of equations. I suggest to give each individual equation a number. It becomes easier to refer the reader to a specific equation.  

3-      For more understanding of the photonic crystals and its applications in different fields, I recommend the following recent citations: Plasmonics, Vol. 17, No. 3, 1315-1321 (2022).   Phys. Scr. Vol. 97, 065501, (2022).    

 

Author Response

Point 1:   There are some few typos. I give some examples: a) “the EM responses of on plasma media using various numerical” should be “the EM responses of plasma media using various numerical”.         b) “part could easily implement with memory swap function” should be “part could easily implement with a memory swap function”.      c) “Chen et al. [23] implemented a LBM scheme” should be “Chen et al.[23] implemented an LBM scheme”. These typos were found in the introduction section. I advise the authors to go through the whole manuscript and correct all the typos.

Response 1: Implemented, please see Line 57-58, 64-65, 73-74. We have revised our manuscript carefully, and used MDPI language editing service (Editing ID: english-46176) to further correct all the typos.

 

Point 2: The authors give numbers to each group of equations. I suggest to give each individual equation a number. It becomes easier to refer the reader to a specific equation. 

Response 2: Implemented. We have gave numbers to each group of equaitons, please see Line 91-290.

 

Point 3: For more understanding of the photonic crystals and its applications in different fields, I recommend the following recent citations: Plasmonics, Vol. 17, No. 3, 1315-1321 (2022).   Phys. Scr. Vol. 97, 065501, (2022).    

Response 3: Implemented. We have added these articles, please Line: 36-37.

Reviewer 3 Report

 

The lattice Boltzmann method (LBM) with a pseudo equilibrium potential is an interesting topic. By theoretical analysis and compared with the Maxell Equation, calculation, the authors obtained the pseudo equilibrium potential. The author improved that the equal results of the electromagnetic wave propagation in one-dimensional (1D) plasma photonic crystals.

Further more, the authors used the LBM method to investigate the effects of thickness and the relative dielectric constant of a defect layer on the EM wave propagation. Some interesting results were obtained.

There are some points should be noted:

(1)  English writing should be improved.

(2)  Figure 1, the y-axis 0.5 should be -0.5;

(3)  Figure 2, where is the red dotted curves?

(4)  Figure 3,Figure7 and Figure 8, the figure captions are lack of clarity, it should be improved. Also the corresponding text.

(5)  Ref. [6] includes in two papers, which is right one?

 

Author Response

Point 1:   English writing should be improved.

Response 1: Implemented. We have revised our manuscript carefully, and used MDPI language editing service (Editing ID: english-46176) to further correct all the typos.

Point 2:  Figure 1, the y-axis 0.5 should be -0.5;

Response 2: Implemented, we have replace y-axis 0.5 with -0.5, please see Line 237.

Point 3:  Where is the red dotted curves?

Response 3: Implemented, it is the curves with circular markers, please see Line 257-261.

 

Point 4:   Figure 3,Figure7 and Figure 8, the figure captions are lack of clarity, it should be improved. Also the corresponding text.

Response 4: Implemented, we have rewriten the figure capitons of Figure 3, 7 and 8, and corresponding text, please see Line 252-261, 316-319,325-331.

 

Point 5:   Ref. [6] includes in two papers, which is right one?

Response 5: Implemented, we have corrected it, onle one paper left. please see Line: 404-405.

Reviewer 4 Report

In this paper, the authors apply the lattice Boltzmann method with a pseudo equilibrium potential to solve Maxwell’s equation. Not only compare this method with FDTD solutions, but the authors also use it to investigate the EM wave’s propagation behaviors in 1D plasma PhCs with defect layers. This paper is well organized and the main argument is developed sufficiently. The methods are presented in detail and can be a good guide for beginners. I think it is a good paper and recommend it to be published on photonics. There are a few minor flaws that should be revised.

1.       A few key calculation formulas have already been shown in the authors’ previous work Ref. [31]. I think it is better to rewrite them in this paper, e. g. in eq. (3), i=0 means which direction?

2.       I suggest the authors highlight the advantages of their LBM over FDTD.

 

3.       There are a few typos: 1) there is inconsistency in the italic types of equations; 2) In Line 317, I guess “Figure 2” should be replaced by “Figure 6”.

Author Response

Point 1:    A few key calculation formulas have already been shown in the authors’ previous work Ref. [31]. I think it is better to rewrite them in this paper, e. g. in eq. (3), i=0 means which direction?

Response 1: Implemented. We have rewriten the fomula and declared the meaning of i=0, please see Line 105-107.

Point 2:   I suggest the authors highlight the advantages of their LBM over FDTD.

Response 2: Implemented. We have discussed the advantages of LBM over FDTD, please see Line: 192-196. 

Point 3:   There are a few typos: 1) there is inconsistency in the italic types of equations; 2) In Line 317, I guess “Figure 2” should be replaced by “Figure 6”.

Response 3: Implemented. (1) We have corrected the inconsistency of the italic types, please see Line: 91-221. (2) We have replace “Figure 2” with “Figure 6”,please see Line: 343-344.

Round 2

Reviewer 1 Report

The paper can be published in the present form.

Reviewer 2 Report

The authors addressed all the comments raised by me. It can be published in the present form. 

Reviewer 3 Report

The font size in equations should be kept constant in the whole text.

The format of table 1 should be checked.

The English grammer should be checked.

 

Reviewer 4 Report

The paper can be published.