# hw09 - θ ), for light scattered from a small ( λ ² a )...

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Princeton University—Physics 501 Problem Set 9 Due: Dec. 20, 2011 1) A uniformly charged sphere oscillates so that the radius of the shell is an arbitrary function of time. Does it radiate? Show why or why not? 2) (J9.3) Two halves of a spherical metal shell of radius R and inﬁnite conductivity are separated by a very small insulating gap. An alternating potential is applied between the two halves of the sphere such that the potential is ± V cos ωt . In the long wavelength limit, ﬁnd the radiation ﬁelds, the angular distribution of the radiation, and the total power radiated from the sphere. 3) Find the degree of circular polarization Π(
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Unformatted text preview: θ ), for light scattered from a small ( λ ² a ) dielectric sphere of radius a —i.e., ﬁnd Π( θ ) ≡ ( dσ d Ω ) +-( dσ d Ω )-( dσ d Ω ) + + ( dσ d Ω )-4) Two small dielectric spheres of radius a are separated by a distance λ/ 2. Find the total diﬀerential cross section for light incident along a direction ˆ r , which is perpendicular to the line joining the spheres when a) the light is polarized in the plane containing ˆ r and the spheres b) the light is polarized perpendicular to that plane. 1...
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## This note was uploaded on 02/04/2012 for the course PHY 501 at Princeton.

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