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On multipole expansions in the theory of electromagnetic radiation

โœ Scribed by C.J. Bouwkamp; H.B.G. Casimir

Publisher
Elsevier Science
Year
1954
Weight
741 KB
Volume
20
Category
Article
ISSN
0031-8914

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โœฆ Synopsis

in which Q is the charge density, connected with the current density by the equation of continuity c -1 div i -----ik~.

(2)

As is well known, eqs (1) admit one and only one solution that is compatible with Sommerfeld's radiation condition at infinity. This unique solution is conveniently expressed in terms of an auxiliary vector:

(3) in which the so-called vector potential A is defined by 1 f giklr-r'l A(r) -----i(r')--dV'. (4) c Ir--r'l

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