Discuss the diffraction due to a small, circular hole of radius a in a flat, perfectly conducting

Question:

Discuss the diffraction due to a small, circular hole of radius a in a flat, perfectly conducting sheet, assuming that k?

(a) If the fields near the screen on the incident side are normal E₀e^?i?t and tangential B₀e^?i?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 = 2/27?Z₀ k⁴?⁶(4c²B²₀ + E²₀)

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