# 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 .

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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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