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Article
Peer-Review Record

A Circuit-Based Wave Port Boundary Condition for the Nodal Discontinuous Galerkin Time-Domain Method

Electronics 2022, 11(12), 1842; https://doi.org/10.3390/electronics11121842
by Shichen Zhu, Yan Shi * and Zhenguo Ban
Reviewer 1:
Reviewer 2: Anonymous
Electronics 2022, 11(12), 1842; https://doi.org/10.3390/electronics11121842
Submission received: 17 May 2022 / Revised: 8 June 2022 / Accepted: 9 June 2022 / Published: 9 June 2022

Round 1

Reviewer 1 Report

In this paper, a circuit-based wave port boundary condition (CWPBC) has been developed 8 and applied into a discontinuous Galerkin time domain (DGTD) method.
Abstract is presented well, however, mention the research issues and highlight the objective of the proposed work.
Give a detailed description of Galerkin Time Domain Method in the introduction and mention the achievements of this application.
Highlight your novel contributions in a better way such that it shows how your work is different from the previous work.
What are the drawbacks that you found in literature and how does your work overcome this drawback?? This should be written in a separate paragraph at the end of the literature section.
How will you find the effectiveness of the proposed model?
Include some comparison tables for better understanding.
Conclusion needs to be more descriptive with the research challenges and also mention the future scope of the work.
Cite the suitable and latest references as follows:
Bansal, Malti, Harmandeep Singh, and Gaurav Sharma. "A Taxonomical Review of Multiplexer Designs for Electronic Circuits & Devices." Journal of Electronics 3, no. 02 (2021): 77-88.

Author Response

Reviewer: 1

Comments to the Author:

In this paper, a circuit-based wave port boundary condition (CWPBC) has been developed and applied into a discontinuous Galerkin time domain (DGTD) method.

Response:

We sincerely appreciate that you can review our manuscript. Your comments are very helpful for us to further improve the quality of the manuscript.

 

Questions:

Abstract is presented well, however, mention the research issues and highlight the objective of the proposed work.

Response:

Thank you very much for your good comments. In revised manuscript, the abstract has been revised to highlight the research issues and the objective of the proposed work.

 

Questions:

Give a detailed description of Galerkin Time Domain Method in the introduction and mention the achievements of this application.

Response:

Thank you very much for your good comments. In revised manuscript, some state-of-the-arts about discontinuous Galerkin time domain (DGTD) method has been given.

 

Questions:

Highlight your novel contributions in a better way such that it shows how your work is different from the previous work.

Response:

Thank you very much for your good comments. In revised manuscript, the advantage of the proposed method has been elaborated. Specifically, the lower computational efficiency and the better computational accuracy can be achieved by the proposed method, compared with the widely used perfectly matched layer (PML) truncation boundary and the waveguide port boundary condition (WPBC).

 

Questions:

What are the drawbacks that you found in literature and how does your work overcome this drawback?? This should be written in a separate paragraph at the end of the literature section.

Response:

Thank you very much for your good comments. There are three kinds of methods to truncate the waveguide-like transmission lines, i.e., PML boundary, 1-D auxiliary transmission line equation, and the WPBC. In fact, the two former methods need to consume the extra computational resources, which greatly increases computational costs. The last one uses the unnecessary longitudinal field continuity, which adversely affects performance of the method. In proposed method, two problems are well overcome. The disadvantages of these methods are elaborated in revised manuscript. 

 

Questions:

How will you find the effectiveness of the proposed model? Include some comparison tables for better understanding.

Response:

Thank you very much for your good comments. The computational efficiency between the PML, the WPBC and the proposed method is compared in Table 1 of the revised manuscript. It can be observed that the less computational time is consumed by the proposed method, compared with two widely used approaches. Meanwhile, Fig. 4 gives accuracy comparison between the proposed method and the PML method. Better accuracy can be obtained by the proposed method.

Table 1. Comparison of CPU-time consumption among PML, WPBC and proposed CWPBC.

 

PML

WPBC

CWPBC

CPU-time per 1000 Time Steps

Time Ratio

134.76s

1

10.51s

0.078

9.84s

0.073

 

Questions:

Conclusion needs to be more descriptive with the research challenges and also mention the future scope of the work.

Response:

Thank you very much for your good comments. Next research challenges have been added in revised manuscript. Specifically, the proposed wave port boundary condition can accurately truncate the waveguide-like transmission lines with the frequency-invariant modal fields. Truncation of the transmission lines with the dispersive modal fields is our future research direction.

 

Questions:

Cite the suitable and latest references as follows:

Bansal, Malti, Harmandeep Singh, and Gaurav Sharma. "A Taxonomical Review of Multiplexer Designs for Electronic Circuits & Devices." Journal of Electronics 3, no. 02 (2021): 77-88.

Response:

Thank you very much for your good comments. The reference has been added in revised manuscript.

Reviewer 2 Report

This is a very interesting paper presenting a circuit-based wave port boundary condition. The proposed method is new and some examples are given using the method. Reliable results are found. Therefore, acceptance is recommended. Some minor comments are below:

1. Can the authors give some comments whether this method can be used to analyse other types of waveguide based microwave elements or antennas? If it is difficult to put them in the paper, then show them in the response letter. 

2. In the literature review, it would be helpful if other related papers on this method can be given. 

Author Response

Reviewer: 2

Comments to the Author:

This is a very interesting paper presenting a circuit-based wave port boundary condition. The proposed method is new and some examples are given using the method. Reliable results are found. Therefore, acceptance is recommended. Some minor comments are below:

Response:

We sincerely appreciate that you can review our manuscript and thank you very much for your good comments.

 

Questions:

Can the authors give some comments whether this method can be used to analyze other types of waveguide-based microwave elements or antennas? If it is difficult to put them in the paper, then show them in the response letter.

Response:

Thank you very much for your good comments. Next research challenges have been added in revised manuscript. Specifically, the proposed wave port boundary condition can accurately truncate the waveguide-like transmission lines with the frequency-invariant modal fields. Truncation of the transmission lines with the dispersive modal fields is our future research direction.

 

Questions:

In the literature review, it would be helpful if other related papers on this method can be given.

Response:

Thank you very much for your good comments. To the best of our knowledge, no reports about the field-circuit co-simulation wave port boundary condition have been found. Thus, in this paper, it is the first time to develop the circuit-based wave port boundary condition to truncate the waveguide-like transmission line. By comparing with the widely used PML and the waveguide port boundary condition, the proposed method has better accuracy and the less computational time.

Round 2

Reviewer 1 Report

Revised version is good.

Recommended for acceptance. 

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