TITLE

About the Maxwell Equations for Electromagnetic Field and Peculiarity Analysis of the Wave Spreading

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ABSTRACT

Methodology of derivation and analysis of the Maxwell equations in total derivatives by time is considered. In continuation of the earlier published paper, this paper is devoted to the methodology of derivation of the Maxwell equations for the electromagnetic field - with total time derivatives - in contrast to the partial derivatives in the "classical" Maxwell equations. Analysis of the electromagnetic wave spreading is performed in detail and the parameters of the waves are derived and analyzed. It is shown that the modified Maxwell equations contain a description of the Doppler Effect, which takes place when the waves of any nature (not only electromagnetic) propagate in a homogeneous and isotropic continuous medium. Also some novel teaching methodologies are mentioned, where these ideas may be spread for the students to learn the Maxwell equations and to train in their analysis and comprehend the wave spreading phenomena.

KEYWORDS

Maxwell Equations, Total Derivatives, Electromagnetic Waves, Wavelength Reduction,
Expansion, Green Lagging Function, Fresnel Equation, Doppler Effect

 

Cite this paper

Yevgen V. Chesnokov, Ivan V. Kazachkov. (2019) About the Maxwell Equations for Electromagnetic Field and Peculiarity Analysis of the Wave Spreading. International Journal of Applied Physics, 4, 14-21

 

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