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Analysis of the Doppler Effect Based on the Full Maxwell Equations

Yevgen V. Chesnokov, Іvan V. Kazachkov

Open publisher page 2 citations

Abstract

In the previous paper, a modification of Maxwell's equations was proposed, from which formula for Doppler effect follows. However, as was noted later, the equations proposed do not have symmetry with respect to the transformation B→-E, E→B, which the original Maxwell equations have and which was discovered by Heaviside in 1893. The equations proposed in present paper have this symmetry. The obtained equations are analyzed for several physical situations.

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What this paper is about

In the previous paper, a modification of Maxwell's equations was proposed, from which formula for Doppler effect follows. However, as was noted later, the equations proposed do not have symmetry with respect to the transformation B→-E, E→B, which the original Maxwell equations have and which was discovered by Heaviside in 1893. The equations proposed in present paper have this symmetry. The obtained equations are analyzed for several physical situations.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In the previous paper, a modification of Maxwell's equations was proposed, from which formula for Doppler effect follows. However, as was noted later, the equations proposed do not have symmetry with respect to the transformation B→-E, E→B, which the original Maxwell equations have and which was discovered by Heaviside in 1893. The equations proposed in present paper have this symmetry. The obtained equations are analyzed for several physical situations.

Key concepts: Heaviside step function, Maxwell's equations, Inhomogeneous electromagnetic wave equation, Symmetry (geometry), Simultaneous equations, Transformation (genetics), Doppler effect, Physics

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