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B2.[15 marks] Consider a square dielectric plate with side length a, thickness t and relative permittivity er under the incidence of a linearly polarized light with electric field E = E, e-ikz-iwt ", as shown below. The propagation direction of light is normal to the surface of the plate. Assume the plate is uniformly polarized by the incident light and t « a«i, where 1 is the wavelength. (a) [5 marks] Apply the continuity boundary condition to determine the electric field inside the plate, and then calculate the electric dipole moment induced in the plate. (b) [5 marks] Calculate the total scattering cross section of the plate normalized by the intensity of incident light. (C) [5 marks] The intensity of the scattered field is different in different directions. Find the directions with maximum intensity and the directions with minimum intensity in the radiation zone. X a