A rectangular opening with sides of length a and b > a defined by x = Âą(a/2), Nf = Âą(b/2) exists in a flat, perfectly conducting plane sheet filling the x-y plane. A plane wave is normally incident with its polarization vector making an angle ?2 with the long edges of the opening.
(a) Calculate the diffracted fields and power per unit solid angle with the vector Smythe-Kirchhoff relation (10.109), assuming that the tangential electric field in the opening is the incident unperturbed field.
(b) Calculate the corresponding result of the scalar Kirchhoff approximation.
(c) For b = a, ?2 = 45°, ka = 4I?, compute the vector and scalar approximations to the diffracted power per unit solid angle as a function of the angle ? for N? = 0. Plot a graph showing a comparison between the two results.
(a) Calculate the diffracted fields and power per unit solid angle with the vector Smythe-Kirchhoff relation (10.109), assuming that the tangential electric field in the opening is the incident unperturbed field.
(b) Calculate the corresponding result of the scalar Kirchhoff approximation.
(c) For b = a, ?2 = 45°, ka = 4I?, compute the vector and scalar approximations to the diffracted power per unit solid angle as a function of the angle ? for N? = 0. Plot a graph showing a comparison between the two results.
