A solid uniform sphere of radius R and conductivity If acts as a scatterer of a plane-wave beam of unpolarized radiation of frequency I?, with I?R/c < 1.=”” the=”” conductivity=”” is=”” large=”” enough=”” that=”” the=”” skin=”” depth=”” 8=”” is=”” small=”” compared=”” to=”” r.=””>
(a) Justify and use a magnetostatic scalar potential to determine the magnetic field around the sphere, assuming the conductivity is infinite. (Remember that I? ? 0.)
(b) Use the technique of Section 8.1 to determine the absorption cross section of the sphere. Show that it varies as (I?)1/2 provided If is independent of frequency.
(a) Justify and use a magnetostatic scalar potential to determine the magnetic field around the sphere, assuming the conductivity is infinite. (Remember that I? ? 0.)
(b) Use the technique of Section 8.1 to determine the absorption cross section of the sphere. Show that it varies as (I?)1/2 provided If is independent of frequency.
