2011Journal of Electrical & Electronic EducationRequires access

Electrical Charge Multipole and Electric Current Multipole

Xi Chen

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Abstract

The multipole expansion for small source region and far field R0 is mainly discussed in this paper.By applying the uniform three-dimensional generalized Taylor expansion and vector operator ▽ theory,a serial of electrical charge multipole and electric current multipole conclusions are deduced.The multipole matrix expression and multipole expansion of four-dimensional electric current vector in relativity are discussed.Concept is clear,deduction is standardized and conclusion is simple.The matrix expression is an attempt to multipole expansion theory.

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What this paper is about

The multipole expansion for small source region and far field R0 is mainly discussed in this paper.By applying the uniform three-dimensional generalized Taylor expansion and vector operator ▽ theory,a serial of electrical charge multipole and electric current multipole conclusions are deduced.The multipole matrix expression and multipole expansion of four-dimensional electric current vector in relativity are discussed.Concept is clear,deduction is standardized and conclusion is simple.The matrix expression is an attempt to multipole expansion theory.

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Available abstract

The multipole expansion for small source region and far field R0 is mainly discussed in this paper.By applying the uniform three-dimensional generalized Taylor expansion and vector operator ▽ theory,a serial of electrical charge multipole and electric current multipole conclusions are deduced.The multipole matrix expression and multipole expansion of four-dimensional electric current vector in relativity are discussed.Concept is clear,deduction is standardized and conclusion is simple.The matrix expression is an attempt to multipole expansion theory.

Key concepts: Multipole expansion, Fast multipole method, Spherical multipole moments, Physics, Current (fluid), Matrix (chemical analysis), Electric field, Quantum electrodynamics

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