At each point Rb on the boundary c5R of the radiation region R, the ┬╗vctor potential A has a multipole expansion (analogous to a Laurent Irries) of the form,

(10) A= A(r) = C(r-rb), { r in R near r b), defining a singular field A = A ( r) near r b.

This field defines a new field,

(11) J = J (r) = V 2 A+ A,2 A, (rinRnear rb), such that

but such that a calculable limiting boundary distribution (13) J = J(rb)*0

Going Green Energy

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