Discuss the diffraction due to a small, circular hole of radius a in a flat, perfectly conducting sheet, assuming that ka < 1.=””>
(a) If the fields near the screen on the incident side are normal E0eâiI?t and tangential B0eâiI?t, show that the diffracted electric field in the Fraunhofer zone is
(a) If the fields near the screen on the incident side are normal E0eâiI?t and tangential B0eâiI?t, show that the diffracted electric field in the Fraunhofer zone is
where k is the wave vector in the direction of observation.
(b) Determine the angular distribution of the diffracted radiation and show that the total power transmitted through the hole is
P = 2/27I?Z0 k4a6(4c2B20 +E20)
