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Characterization of functions as radiation patterns in linear elasticity

✍ Scribed by Antonios Charalambopoulos; Kiriakie Kiriaki


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
444 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

In this paper a necessary and sufficient condition for a pair of vector functions to be radiation patterns is presented. More precisely, it is proved that two vector functions, the first in the radial direction and the second in the tangential one, are radiation patterns if and only if there are two entire harmonic vector functions whose radial and tangential projections, respectively, are identical with the previous functions on the unit sphere and whose L^2^‐norm over a sphere of radius R is a function of exponential type in the variable R.


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