Reply to Comments on "Stored energies and radiation Q"

TL;DR

This paper refutes a comment on their previous work, demonstrating that the comment is based on fundamental errors and misconceptions about antenna theory, leading to incorrect conclusions and misinterpretations.

Contribution

The authors clarify and defend their original findings by identifying and correcting the misconceptions and errors in the comment, reaffirming the validity of their results.

Findings

The comment contains multiple errors and misconceptions.

The false assumption about terminal current leads to incorrect equations.

The numerical results in the comment are based on misused models.

Abstract

It will be shown that the comment [1] contains numerous errors, misconceptions, inaccuracies, false assumptions, misunderstandings and unjustified claims. The analysis of the comment is built on a false assumption that the terminal current of an antenna fed by a waveguide is independent of frequency. This false assumption arises from the misunderstandings on the basic theory of transmission lines and misconceptions of normalization for a linear system. As a result, all the equations obtained from the assumption in the comment are incorrect, and the related discussions are untruthful. The delta gap source modeling has been abused in the comment, and this is reflected in the numerical results in the comment that give rise to negative stored energy. The main results of the commented paper have been misinterpreted by the authors of the comment, and the related analysis is established on illogical reasoning. The comment fails to pinpoint any errors in the commented paper. Instead, it reveals that the main results obtained by the authors of the comment in their previous publication [2] are incorrect.