A uniform plane wave traveling in air is incident upon a flat, lossless, and infinite in extent dielectric interface with a diel
ectric constant of 8. In the air medium, a standing wave is formed. If the normalized magnitude of the incident E-field is Eo = 1, determine the maximum value of the E-field standing wave pattern in air and the shortest distance l (in λo) from the interface where the first maximum in the E- field standing wave pattern will occur (normalized to the incident field). Select one: a. Maximum value of the E-field standing wave = 2.48; shortest distance l = λo/4 b. Maximum value of the E-field standing wave = 2.48; shortest distance l = λo/2 c. Maximum value of the E-field standing wave = 1.48; shortest distance l = λo/4 d. Maximum value of the E-field standing wave = 0.52; shortest distance l = λo/2
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To solve this problem it is necessary to apply the concepts related to diffraction through a circular opening.
By definition the angular resolution is given by
Where,
D = Diameter of the lens aperture.
Our values are given as,
Therefore replacing,
Therefore the angular separation is