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

Tommi Dufva; J. Sarvas; Johan Sten

doi:10.2528/PIERB07121203

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

Tommi Dufva
, J. Sarvas
, Johan Sten

Helsinki University of Technology

Research output: Contribution to journal › Article › Scientific › peer-review

33 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 language	English
Pages (from-to)	79 - 99
Number of pages	21
Journal	Progress In Electromagnetics Research B
Volume	4
DOIs	https://doi.org/10.2528/PIERB07121203
Publication status	Published - 2008
MoE publication type	A1 Journal article-refereed

Access to Document

10.2528/PIERB07121203

Cite this

@article{17710d7face84664aeea1e80c8ae2456,

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. ",

author = "Tommi Dufva and J. Sarvas and Johan Sten",

year = "2008",

doi = "10.2528/PIERB07121203",

language = "English",

volume = "4",

pages = "79 -- 99",

journal = "Progress In Electromagnetics Research B",

issn = "1937-6472",

publisher = "Electromagnetics Academy",

}

TY - JOUR

T1 - Unified derivation of the translational addition theorems for the spherical scalar and vector wave functions

AU - Dufva, Tommi

AU - Sarvas, J.

AU - Sten, Johan

PY - 2008

Y1 - 2008

N2 - 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.

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.

U2 - 10.2528/PIERB07121203

DO - 10.2528/PIERB07121203

M3 - Article

SN - 1937-6472

VL - 4

SP - 79

EP - 99

JO - Progress In Electromagnetics Research B

JF - Progress In Electromagnetics Research B

ER -

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

Abstract

Access to Document

Fingerprint

Cite this