On the Singularity of the Static Green's Function and the Derivations of Equations Associated With Potentials
作者:
C.-C. Su,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 2000)
卷期:
Volume 14,
issue 9
页码: 1251-1259
ISSN:0920-5071
年代: 2000
DOI:10.1163/156939300X01175
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Thesingularity of the static Green's function incurs mathematical difficulty. It is pointed out that this singularity is unnecessarily complicated and can be removed by a physically meaningful assumption which regularizes the static Green's function without substantially affecting the electromagnetic theory. Further, this regularization smooths the electric field in the close proximity of the source and leads to that the electrostatic force due to a charged particle exerted on itself is zero. Thereby, the Poisson equation of the regularized static Green's function can be obtained in a simple manner. Then, the wave equations of the electric scalar potential and the magnetic vector potential are derived in a new approach. Furthermore, we derive the Lorentz gauge, rather than assume it.
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