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

    22 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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