Electrical Charge Multipole and Electric Current Multipole
Xi Chen
Abstract
Xi Chen
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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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