A long wavelength, left circularly polarized, monochromatic plane wave scatters into the direction k 1 from a uniform dielectric sphere with radius a and polarizability The scattered wave travels a distance r 1 a and scatters from an identical sphere into the direction k 2 Find the twice scattered ...

To find the twicescattered electric field at a distance r2 a from the second sphere we need to consider the contributions from both scattering events ...

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

Question:

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 r₁>>a and scatters from an identical sphere into the direction k̂₂. Find the twice-scattered electric field at a distance r₂>> 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.