A long-wavelength, left circularly polarized, monochromatic plane wave scatters into the direction k 1 from a uniform

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A long-wavelength, left circularly polarized, monochromatic plane wave scatters into the direction k̂1 from a uniform dielectric sphere with radius a and polarizability α. The scattered wave travels a distance r>> a and scatters from an identical sphere into the direction k̂2. Find the twice-scattered electric field at a distance r>> a from the second sphere. Express your answer using polarization vectors which are 

(i) Transverse to 2 and 

(ii) Parallel and perpendicular to the plane of the diagram.

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