2013Unpublished venueRequires access

Matrix Transformation and Solutions of Wave Equation of Free Electromagnetic Field

Xianzhao Zhong

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Abstract

In this paper, the generalized differential wave equation for free electromagnetic field is transformed and formulated by means of matrixes. Then Maxwell wave equation and the second form of wave equation are deduced by matrix transformation. The solutions of the wave equations are discussed. Finally, two differential equations of vibration are established and their solutions are discussed. Key words: matrix transformation, wave equation. PACS: 03.50.De 1

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What this paper is about

In this paper, the generalized differential wave equation for free electromagnetic field is transformed and formulated by means of matrixes. Then Maxwell wave equation and the second form of wave equation are deduced by matrix transformation. The solutions of the wave equations are discussed. Finally, two differential equations of vibration are established and their solutions are discussed. Key words: matrix transformation, wave equation. PACS: 03.50.De 1

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Available abstract

In this paper, the generalized differential wave equation for free electromagnetic field is transformed and formulated by means of matrixes. Then Maxwell wave equation and the second form of wave equation are deduced by matrix transformation. The solutions of the wave equations are discussed. Finally, two differential equations of vibration are established and their solutions are discussed. Key words: matrix transformation, wave equation. PACS: 03.50.De 1

Key concepts: Electromagnetic wave equation, Wave equation, Transformation (genetics), Sinusoidal plane-wave solutions of the electromagnetic wave equation, Transformation matrix, Matrix (chemical analysis), Inhomogeneous electromagnetic wave equation, Electromagnetic field

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