Electromagnetic Wave Scattering by Conducting Sphere

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Electromagnetic waves can be scattered by electrical conductors. Consider a linearly polarized plane wave, with electric field in the direction and incident in the
direction on a perfectly conducting sphere of radius
. The electric and magnetic fields of the incoming wave, expressed in Cartesian coordinates, are
and
, where
(
and
are the light velocity and impedance, respectively). The scattered fields
and
are best expressed in spherical coordinates
, using Legendre functions
and spherical Hankel functions
and taking account of the boundary conditions. The total fields are given by
and
.
Contributed by: Y. Shibuya (September 2015)
Open content licensed under CC BY-NC-SA
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References
[1] J. A. Stratton, Electromagnetic Theory, Hoboken, NJ: John Wiley & Sons, 2007.
[2] W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism, 2nd ed., Mineola, NY: Dover Publications, 2005.
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