450fall09hw6 - ECE 450 Homework 6 Due: Tue, Oct 6, 2009, 5...

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Unformatted text preview: ECE 450 Homework 6 Due: Tue, Oct 6, 2009, 5 PM 1. A linear antenna array of length of 4.65 m is radiating in air. The operating frequency is 1 GHz. Assume that all antenna elements are identical and that their driving currents are of the same magni- tude and in phase. The radiation field of the array is being monitored at a distance of 1 km from the array in the direction of broadside radiation from the array. If the maximum allowable phase error in the quantitative analysis of the radiated field is / 16 , calculate the maximum distance away from the broadside that a plane-wave approximation of the radiation field would be acceptable. 2. A time-harmonic uniform plane wave is propagating in a medium or magnetic permeability that of free space and electric permittivity 4 . The operating frequency is 100 MHz and the phasor of the electric field vector at the origin of the reference coordinate system is E (0 , , 0) = z 10 V/m. The direction of propagation of the wave is k = x 2 2- y 2 2 ....
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This note was uploaded on 02/22/2010 for the course ECE 450 taught by Professor Franke during the Fall '09 term at University of Illinois at Urbana–Champaign.

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450fall09hw6 - ECE 450 Homework 6 Due: Tue, Oct 6, 2009, 5...

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