Abstract
The eikonal approach is applied to the problem of the scattering of electromagnetic waves from an excluded volume in the presence of a weak external potential. The scattering of electromagnetic waves is treated in the spinor formalism previously developed by the author. The excluded volume is eventually taken to be a perfectly conducting cone, the external potential a coating of thickness δ, with complex dielectric constant e′, and permeability μ (tacitly assumed equal to 1). It is shown that to order (N−1), whereN=(e′ μ)1/2, the eikonal approach in the spinor formalism yields results equivalent to those obtained from the vector theory of Uberall in the particular case of nose-on backscattering, using the eikonal function corresponding to ‘straight-line propagation’.
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