UNIFIED DERIVATION OF THE TRANSLATIONAL ADDITION THEOREMS FOR THE SPHERICAL SCALAR AND VECTOR WAVE FUNCTIONS | Zendy

Tommi Dufva | Zendy; Jukka Sarvas | Zendy; Johan C.-E. Stén | Zendy

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UNIFIED DERIVATION OF THE TRANSLATIONAL ADDITION THEOREMS FOR THE SPHERICAL SCALAR AND VECTOR WAVE FUNCTIONS

Author(s) -

Tommi Dufva,

Jukka Sarvas,

Johan C.-E. Stén

Publication year - 2008

Publication title -

progress in electromagnetics research b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 47

ISSN - 1937-6472

DOI - 10.2528/pierb07121203

Subject(s) - scalar (mathematics) , vector valued function , physics , classical mechanics , mathematics , mathematical analysis , geometry

—The translational addition theorems for the spherical scalar and vector wave functions are derived in a novel, unified way based on the simple and well-known concepts of the radiation and incoming wave patterns.This approach makes the derivation simpler and more transparent compared,to the previous approaches.As a result, we also obtain alternative and partly simpler expressions for the translation coefficients in the vector case.

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