Results 1-3 of 44
Thus , for Dirichlet boundary conditions we demand : G ( x , x ' ) = 0 for x ' on S ( 1.43 ) Then the first term in the surface integral in ( 1.42 ) vanishes and the solution is 1 Φ ( x ) p ( x ' ) Gp ( x , x ' ) d'x ' ( 1.44 ) an ' For ...
... radiation condition , » +10,4 m ( ik - 1 ) ( 9.64 ) With this condition on y it can readily be seen that the integral in ( 9.63 ) over the hemisphere S , vanishes inversely as the hemisphere radius as that radius goes to infinity .
... While it may not appear very fruitful to transform the two terms in ( 9.68 ) into six terms , we will now show that the surface integral of the first three terms in ( 9.72 ) , involving the product ( GE ) , vanishes identically .
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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