A derivation of the vector addition theorem
- 1 July 1990
- journal article
- research article
- Published by Wiley in Microwave and Optical Technology Letters
- Vol. 3 (7) , 256-260
- https://doi.org/10.1002/mop.4650030709
Abstract
An alternative derivation of the vector addition theorem is presented using the completeness of vector wave functions and integration by parts. The advantage of this derivation is that it leads directly to the simplified results of Bruning and Lo and of Stein. Moreover, the dichotomous results of the addition theorem when a spherical Hankel function is involved can be derived by contour integration.Keywords
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