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Resumen:
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Rigorous approximation techniques for the scattering of a classical electromagnetic wave by fixed obstacles are studied. For that purpose, a new Green's function G^T is introduced, which is divergenceless throughout all space and, hence, less singular at short distances than the one commonly used ?. The two scattering integral equations for the total electric field with G^T and ? respectively, as well as their iterations, are studied comparatively. It is concluded that the iterations of the integral equation containing G^T converge under more general conditions than those for the one containing ?, so that G^T is, for rigorous studies, more suitable than ?.
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