450fall09hw13 - ECE 450 Homework 13 Due Tue Dec 1 2009 5 PM...

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ECE 450 Homework 13 Due: Tue, Dec 1, 2009, 5 PM 1. Rectangular waveguides are being used to construct the feed network of antenna arrays. The picture on the left below depicts such a feed network for a Ka-band multi-beam antenna (courtesy Alenia Spazio). The transition from the waveguide cross-section to the aperture that serves as the radiating antenna has to be properly designed to minimize reflection, thus ensuring that most of the time- average power carried by the waveguide is radiated. Assuming that such a transition is not available and that the open end of a rectangular waveguide is used as the aperture antenna (see figure on the right above), calculate, approximately, the % of time-average incident power that gets radiated out of the rectangular waveguide operated at the TE10 mode. The waveguide is air filled, with cross-sectional dimensions a = 10 cm and b = 4 cm. The operating frequency is set at 1.5 times the cuto ff frequency of the TE10 mode. (Hint: Neglecting the electromagnetic wave di ff
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