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Workshop11Antennas

# Workshop11Antennas - ECE 3030 Electromagnetic Fields and...

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ECE 3030: Electromagnetic Fields and Waves Fall 2009 WORKSHOP 11 INSTRUCTOR NOTES: Antennas Reminder: No Workshop next week. ..Prelim 3. Date: Thursday 11/12 1. Problem 17.3 Consider two Hertzian dipoles of length d sitting at a distance a from each other as shown. Their current phasors are indicated in the ﬁgure and directed in the z direction. The wave- length of the radiation emitted by each is λ . In this problem we are going to look at the radiation pattern p ( θ,φ ) in the x - y plane. φ α j e I y x r a I Figure 1: Still another two Hertzian dipole array. a. Write the most general condition (in terms of wavelength λ , distance a , and phase α ) that will give a maximum in the radiation pattern in the direction of some chosen angle φ . b. Sketch the radiation pattern p ( θ,φ ) in the x - y plane assuming that the phase α equals π and the distance a equals λ . Indicate the angles of the maxima and the minima. c. If one is interested in sending no power in the direction of the negative x -axis and most of the power in the direction of positive x -axis, what values then must be chosen for the distance a and the phase α ? d. Suppose the phase α is equal to zero. For values of angle φ such that 0 φ π/ 2 there are 3 nulls in the radiation pattern. From this information what are the ranges

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Workshop11Antennas - ECE 3030 Electromagnetic Fields and...

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