Consider two rectangular radiating apertures, one located in a plane perfect electric conducting (PEC) ground plane,...

 

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Consider two rectangular radiating apertures, one located in a plane perfect electric conducting (PEC) ground plane, and the other in an aperture plane in free space. Assume that the aperture fields in both cases are uniformly distributed over the aperture, i.e., E (x,y)= E and H₂(x,y)=--E 77 for x <a/2 and y<b/2, where is the free space wave impedance, and ŷ is the direction of the polarization. (a) Write down the expressions for the far-field functions for both apertures. (b) Find the expressions for the co- and cross polar far-field functions for the two cases for a desired linear y- polarization. (c) What are the levels in dB of the relative cross-polar field at 0= 10° and 0= 20° in the = 45° plane for each of the two cases of rectangular radiating apertures? Consider two rectangular radiating apertures, one located in a plane perfect electric conducting (PEC) ground plane, and the other in an aperture plane in free space. Assume that the aperture fields in both cases are uniformly distributed over the aperture, i.e., E (x,y)= E and H₂(x,y)=--E 77 for x <a/2 and y<b/2, where is the free space wave impedance, and ŷ is the direction of the polarization. (a) Write down the expressions for the far-field functions for both apertures. (b) Find the expressions for the co- and cross polar far-field functions for the two cases for a desired linear y- polarization. (c) What are the levels in dB of the relative cross-polar field at 0= 10° and 0= 20° in the = 45° plane for each of the two cases of rectangular radiating apertures?

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