Matrix Transformation and Solutions of Wave Equation of Free Electromagnetic Field
Xianzhao Zhong
Abstract
Xianzhao Zhong
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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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