EAD 234B_Homework6_2010

EAD 234B_Homework6_2010 - EAD 234B: E&M Homework #6 Due...

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EAD 234B: E&M Homework #6 Due Thursday, May 20, 2010 (1) Consider a thin circular plate of radius a with a total charge q homogeneously distributed over its surface. The plate is rotating with angular frequency ω around an axis through its diameter. Calculate, to lowest non-vanishing order, the total power radiated by the plate. (2) Within the Fraunhofer approximation, analyze the pattern produced by a 1D diffraction lattice with the periodic transparency profile shown below, upon the normal incidence of a plane wave. (3) A plane monochromatic wave is normally incident on an opaque disk of radius R >> λ . Use the Huygens principle to calculate the wave intensity at distance z >> R behind the disk center (see figure below). (4) Incident radiation with wave vector k 0 and polarization ε 0 scatters off a small sphere of
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radius a with permittivity ε = κ e ε 0 and permeability μ = κ m μ 0 . (a) Compute the electric field of the scattered wave in the radiation regime.
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This note was uploaded on 05/14/2010 for the course EAD 234 taught by Professor Ncl during the Spring '10 term at École Normale Supérieure.

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EAD 234B_Homework6_2010 - EAD 234B: E&M Homework #6 Due...

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