Unified derivation of the translational addition theorems for the spherical scalar and vector wave functions

Tommi Dufva, J. Sarvas, Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)79 - 99
Number of pages21
JournalProgress In Electromagnetics Research B
Volume4
DOIs
Publication statusPublished - 2008
MoE publication typeA1 Journal article-refereed

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addition theorem
Wave functions
derivation
wave functions
scalars
Radiation
radiation
coefficients

Cite this

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title = "Unified derivation of the translational addition theorems for the spherical scalar and vector wave functions",
abstract = "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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Unified derivation of the translational addition theorems for the spherical scalar and vector wave functions. / Dufva, Tommi; Sarvas, J.; Sten, Johan.

In: Progress In Electromagnetics Research B, Vol. 4, 2008, p. 79 - 99.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Sten, Johan

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AB - 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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DO - 10.2528/PIERB07121203

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