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H. Weber ( 1873 ) first solved the present problem by using certain discontinuous
integrals involving Bessel functions . Titchmarsh , p . 334 , uses Mellin transforms
to effect a solution of a somewhat more general pair of dual integral equations .
To do this we make use of the following easily proved identities connecting
surface integrals over a closed surface Sto volume integrals over the ... With
these identities the surface integral of the first three terms in ( 9.72 ) can be
written f [ ( m ...
We see that Fsh and Fiu are proportional to ( k = ko ) , respectively ; the shadow
integral will be large and the integral from the illuminated region will go to zero .
As the scattering angle departs from the forward direction the shadow integral will
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
6 other sections not shown