Page 419 - Electromagnetics

5.32 Beginning with the monostatic formula for the RCS of a conducting sphere given
in Problem 5.30, use the large-argument approximation to the spherical Hankel functions
2
to showthat the RCS approaches the interception area of the sphere, πa ,as ka →∞.
5.33 A material sphere of radius a has permittivity and permeability µ. The sphere
is centered at the origin and illuminated by a plane wave traveling in the z-direction with
the fields
˜
E 0 (ω) − jkz
− jkz
˜
˜
˜
E(r,ω) = ˆ xE 0 (ω)e , H(r,ω) = ˆ y e .
η
Find the fields internal and external to the sphere.

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