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PIER PIER B PIER C PIER M PIER Letters
2022-04-27
On the Low Speed Limits of Lorentz's Transformation - How Relativistic Effects Retain OR Vanish in Electromagnetism
By
Hao Chen,

    Dr. Hao Chen

    Department of Electrical and Computer Engineering

    Princeton University

    USA

    Homepage

Wei E. I. Sha,

    Dr. Wei E. I. Sha

    College of Information Science & Electronic Engineering

    Zhejiang University

    China

    Homepage

Xi Dai,

    Professor Xi Dai

    Department of Physics

    Hong Kong University of Science and Technology

    China

    Homepage

Yue Yu

    Dr. Yue Yu

    Department of Physics

    Fudan University

    China

    Homepage

Progress In Electromagnetics Research, Vol. 174, 1-22, 2022
doi:10.2528/PIER22021701
Abstract
This article contains a digest of the theory of electromagnetism and a review of the transformation between inertial frames, especially under low speed limits. The covariant nature of the Maxwell's equations is explained using the conventional language. We show that even under low speed limits, the relativistic effects should not be neglected to get a self-consistent theory of the electromagnetic fields, unless the intrinsic dynamics of these fields has been omitted completely. The quasi-static limits, where the relativistic effects can be partly neglected are also reviewed, to clarify some common misunderstandings and imprecise use of the theory in presence of moving media and other related situations. The discussions presented in this paper provide a clear view of why classical electromagnetic theory is relativistic in its essence.
Citation
Hao Chen, Wei E. I. Sha, Xi Dai, and Yue Yu, "On the Low Speed Limits of Lorentz's Transformation - How Relativistic Effects Retain OR Vanish in Electromagnetism," Progress In Electromagnetics Research, Vol. 174, 1-22, 2022.
doi:10.2528/PIER22021701
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